Strongly Correlated Electrons
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New submissions for Thu, 25 Apr 24
- [1] arXiv:2404.15547 [pdf, other]
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Title: Fractional quantum Hall effect of partons and the nature of the 8/17 state in the zeroth Landau level of bilayer grapheneComments: 9 pages, 2 figures and includes supplemental materialSubjects: Strongly Correlated Electrons (cond-mat.str-el); Mesoscale and Nanoscale Physics (cond-mat.mes-hall)
We consider the fractional quantum Hall effect (FQHE) at the filling factor $8/17$, where signatures of incompressibility have been observed in the zeroth Landau level of bilayer graphene. We propose an Abelian state described by the "$\overline{(8/3)}\bar{2}1^{3}$" parton wave function, where a parton itself forms an FQHE state. This state is topologically distinct from the $8/17$ Levin-Halperin state, a daughter state of the Moore-Read state. We carry out extensive numerical exact diagonalization of the Coulomb interaction at 8/17 in the zeroth Landau level of bilayer graphene but find that our results cannot conclusively determine the topological order of the underlying ground state. We work out the low-energy effective theory of the $\overline{(8/3)}\bar{2}1^{3}$ edge and make predictions for experimentally measurable properties of the state which can tell it apart from the 8/17 Levin-Halperin state.
- [2] arXiv:2404.15773 [pdf, other]
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Title: Possible gapless quantum spin liquid behavior in the triangular-lattice Ising antiferromagnet PrMgAl$_{11}$O$_{19}$Authors: Zhen Ma, Shuhan Zheng, Yingqi Chen, Ruokai Xu, Zhao-Yang Dong, Jinghui Wang, Hong Du, Jan Peter Embs, Shuaiwei Li, Yao Li, Yongjun Zhang, Meifeng Liu, Ruidan Zhong, Jun-Ming Liu, Jinsheng WenComments: 11 pages, 5 figuresJournal-ref: Phys. Rev. B 109, 165143 (2024)Subjects: Strongly Correlated Electrons (cond-mat.str-el)
Quantum spin liquids (QSLs) represent a novel state where spins are highly entangled but do not order even at zero temperature due to strong quantum fluctuations. Such a state is mostly studied in Heisenberg models defined on geometrically frustrated lattices. Here, we turn to a new triangular-lattice antiferromagnet PrMgAl$_{11}$O$_{19}$, in which the interactions are believed to be of Ising type. Magnetic susceptibility measured with an external field along the $c$ axis is two orders of magnitude larger than that with a field in the $ab$ plane, displaying an ideal easy-axis behavior. Meanwhile, there is no magnetic phase transition or spin freezing observed down to 1.8 K. Ultralow-temperature specific heat measured down to 50 mK does not capture any phase transition either, but a hump at 4.5 K, below which the magnetic specific heat exhibits a quasi-quadratic temperature dependence that is consistent with a Dirac QSL state. Inelastic neutron scattering technique is also employed to elucidate the nature of its ground state. In the magnetic excitation spectra, there is a gapless broad continuum at the base temperature 55~mK, in favor of the realization of a gapless QSL. Our results provide a scarce example for the QSL behaviors observed in an Ising-type magnet, which can serve as a promising platform for future research on QSL physics based on an Ising model.
- [3] arXiv:2404.15844 [pdf, other]
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Title: Partial Renormalization of Quasiparticle InteractionsAuthors: Kun ChenComments: 13 pages, 7 figuresSubjects: Strongly Correlated Electrons (cond-mat.str-el); Quantum Gases (cond-mat.quant-gas); High Energy Physics - Theory (hep-th)
Nonlocal effective interactions are inherent to non-relativistic quantum many-body systems, but their systematic resummation poses a significant challenge known as the ``vertex problem" in many-body perturbation theory. We introduce a renormalization scheme based on a projection-based renormalization condition that selectively resums the most essential nonlocal contributions to the effective interaction vertex, avoiding the computational complexity of the full vertex function. This enables us to derive a renormalized Feynman diagrammatic series with large parameters canceled by counter-diagrams, efficiently generated using a perturbative expansion of the parquet equations and computed using a diagrammatic Monte Carlo algorithm. Applying our approach to a 3D Yukawa Fermi liquid, we demonstrate that the renormalized perturbation theory remains predictive even in the strongly correlated regime and uncover significant sign cancellations between different channels contributing to the scattering amplitude. Our work establishes a novel framework for investigating strong correlations in quantum many-body systems, offering a systematic approach to explore nonlocal theories for challenging systems like the electron liquid in material science.
- [4] arXiv:2404.15902 [pdf, other]
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Title: Some understanding of recent inelastic neutron scattering on Ce-pyrochlores: Signatures of electric monopolesComments: 7 pages, 4 figures. May seek publication for student graduationSubjects: Strongly Correlated Electrons (cond-mat.str-el)
We revisit the pyrochlore spin liquid materials Ce$_2$Sn$_2$O$_7$ and Ce$_2$Zr$_2$O$_7$ by examining the existing experiments. We continue to rely on the special properties of the dipole-octupole nature of the Ce$^{3+}$ moment. The inelastic neutron scattering (INS) measurement in the octupolar U(1) spin liquid {\sl selects} the (gapped) spinon continuum, and thus has suppressed spectral weights below the energy threshold of two spinon gaps. This measurement, however, includes all other emergent excitations at lower energies in the dipolar U(1) spin liquid, in particular, the gapless photon and the continuum of {\sl the electric monopoles}. Although the electric monopole continuum is weakly gapped (compared to the larger spinon gap), the energy scale is actually close to the gauge photons, and the spectrum largely overlaps with the photons. Due to the background dual $\pi$ flux for the electric monopoles, the density of states is enhanced at lower energies, creating peak structures. This can be contrasted with the linearly suppressed spectral weight of the gauge photons at low energies. We propose that the electric monopole continuum should be mostly responsible for the low-energy spectrum in the INS measurement in the dipolar U(1) spin liquid. With these understanding and calculation, we discuss the available experimental results and predict further experiments for Ce$_2$Sn$_2$O$_7$ and Ce$_2$Zr$_2$O$_7$.
- [5] arXiv:2404.15924 [pdf, other]
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Title: Emergent Topological SemimetalAuthors: D. M. Kirschbaum, L. Chen, D. A. Zocco, H. Hu, F. Mazza, J. Larrea Jiménez, A. M. Strydom, D. Adroja, X. Yan, A. Prokofiev, Q. Si, S. PaschenComments: 15 pages, 5 figuresSubjects: Strongly Correlated Electrons (cond-mat.str-el)
A material's electronic topology, which is generally described via its Bloch states and the associated bandstructure, will be enriched by the presence of interactions. In metallic settings, the interactions are usually treated through the concept of quasiparticles. Using the genuinely quantum critical heavy fermion compound CeRu$_4$Sn$_6$, we investigate what happens if no well-defined quasiparticles are present. Surprisingly, we discover a topological semimetal phase that emerges from the material's quantum critical state and exhibits a dome structure as a function of magnetic field and pressure. To understand these results, we study a Weyl-Kondo semimetal model at a Kondo destruction quantum critical point. Indeed, it exhibits features in the spectral function that can define topological crossings beyond the quasiparticle picture. We expect our work to stimulate the search for other emergent topological phases.
- [6] arXiv:2404.15997 [pdf, other]
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Title: Spin Supersolid Phase and Double Magnon-Roton Excitations in a Cobalt-based Triangular LatticeAuthors: Yuan Gao, Chuandi Zhang, Junsen Xiang, Dehong Yu, Xingye Lu, Peijie Sun, Wentao Jin, Gang Su, Wei LiSubjects: Strongly Correlated Electrons (cond-mat.str-el)
Supersolid is an exotic quantum state of matter that hosts spontaneously the features of both solid and superfluidity, which breaks the lattice translational symmetry and U(1) gauge symmetry. Here we conduct inelastic neutron scattering (INS) measurements and tensor-network calculations on the triangular-lattice cobaltate Na$_2$BaCo(PO$_4$)$_2$, which is proposed in [Xiang ${\it et al.}$, Nature 625, 270-275 (2024)] as a quantum magnetic analog of supersolid. We uncover characteristic dynamical signatures, which include distinct magnetic Bragg peaks indicating out-of-plane spin solidity and gapless Goldstone modes corresponding to the in-plane spin superfluidity, offering comprehensive spectroscopic evidence for spin supersolid in Na$_2$BaCo(PO$_4$)$_2$. We also compute spin dynamics of the easy-axis triangular-lattice model, and reveal magnon-roton excitations containing U(1) Goldstone and roton modes associated with the in-plane spin superfluidity, as well as pseudo-Goldstone and roton modes related to the out-of-plane spin solidity, rendering double magnon-roton dispersions in the spin supersolid. Akin to the role of phonon-roton dispersion in shaping the helium thermodynamics, the intriguing magnetic excitations also strongly influence the low-temperature thermodynamics of spin supersolid down to sub-Kelvin regime, explaining the recently observed giant magnetocaloric effect in Na$_2$BaCo(PO$_4$)$_2$.
- [7] arXiv:2404.16013 [pdf, ps, other]
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Title: Massive Higher-Spin Fields in the Fractional Quantum Hall EffectComments: 5+6 pagesSubjects: Strongly Correlated Electrons (cond-mat.str-el); Mesoscale and Nanoscale Physics (cond-mat.mes-hall); High Energy Physics - Theory (hep-th)
Incompressibility plays a key role in the geometric description of fractional quantum Hall fluids. It is naturally related to quantum area-preserving diffeomorphisms and the underlying Girvin-MacDonald-Plazman algebra, which gives rise to an emergent non-relativistic massive spin-2 mode propagating in the bulk. The corresponding metric tensor can be identified with a nematic order parameter for the bulk states. In the linearised regime with a flat background, it has been shown that this mode can be described by a spin-2 Schroedinger action. However, quantum area-preserving diffeomorphisms also suggest the existence of higher-spin modes that cannot be described through nematic fractional quantum Hall states. Here, we consider p-atic Hall phases, in which the corresponding p-atic order parameters are related to higher-rank symmetric tensors. We then show that in this framework, non-relativistic massive chiral higher-spin fields naturally emerge and that their dynamics is described by higher-spin Schroedinger actions. We finally show that these effective actions can be derived from relativistic massive higher-spin theories in 2+1 dimensions after taking a non-relativistic limit.
Cross-lists for Thu, 25 Apr 24
- [8] arXiv:2404.15397 (cross-list from quant-ph) [pdf, other]
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Title: The quantum adiabatic algorithm suppresses the proliferation of errorsComments: 6+3 pages, 4+2 figures, comments welcomeSubjects: Quantum Physics (quant-ph); Statistical Mechanics (cond-mat.stat-mech); Strongly Correlated Electrons (cond-mat.str-el); Atomic Physics (physics.atom-ph)
The propagation of errors severely compromises the reliability of quantum computations. The quantum adiabatic algorithm is a physically motivated method to prepare ground states of classical and quantum Hamiltonians. Here, we analyze the proliferation of a single error event in the adiabatic algorithm. We give numerical evidence using tensor network methods that the intrinsic properties of adiabatic processes effectively constrain the amplification of errors during the evolution for geometrically local Hamiltonians. Our findings indicate that low energy states could remain attainable even in the presence of a single error event, which contrasts with results for error propagation in typical quantum circuits.
- [9] arXiv:2404.15452 (cross-list from cond-mat.mes-hall) [pdf, other]
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Title: Helical trilayer graphene in magnetic field: Chern mosaic and higher Chern number ideal flat bandsComments: 15 pages, 6 figuresSubjects: Mesoscale and Nanoscale Physics (cond-mat.mes-hall); Strongly Correlated Electrons (cond-mat.str-el)
Helical trilayer graphene (hTG) exhibits a supermoir\'e pattern with large domains centered around stacking points ABA and BAB, where two well-separated low-energy bands appear with different total Chern numbers at each valley, forming a Chern mosaic pattern. In the chiral limit, the low-energy bands become exactly flat at zero energy for magic-angle twists. Here we investigate these zero-energy flat bands and their topological properties in the presence of a perpendicular magnetic field. We show that hTG retains the precise flatness of the zero-energy bands, even at finite magnetic fields. We find topological phase transitions at fields corresponding to unit and half magnetic flux leading to an emergence of higher Chern number flat bands. Consequently the Chern mosaic gets modified for finite magnetic fields. We further find the analytical forms of zero-energy wave functions and identify a set of hidden wave functions, which gives crucial insights into both the topological transitions and enhancement of Chern numbers across them. We also find topological transitions away from the chiral limit with finite corrugations and at different magic angles.
- [10] arXiv:2404.15732 (cross-list from cond-mat.mtrl-sci) [pdf, ps, other]
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Title: Mechanochemical Synthesis and Magnetic Properties of the Mixed-Valent Binary Silver(I,II) Fluorides, AgI2AgIIF4 and AgIAgIIF3Authors: Matic Belak Vivod, Zvonko Jagličić, Graham King, Thomas C. Hansen, Matic Lozinšek, Mirela DragomirComments: 28 pages, 16 figures, 4 tablesSubjects: Materials Science (cond-mat.mtrl-sci); Strongly Correlated Electrons (cond-mat.str-el)
Fluoridoargentates(II) represent a fascinating class of silver(II) compounds that exhibit structural and magnetic similarities to cuprate superconductors. However, their synthesis is challenging, leaving their properties largely unexplored. In this study, mechanochemistry is introduced as a new technique for the synthesis of fluoridoargentates(II), which avoids the use of anhydrous HF or heating, and employs simple equipment. Furthermore, by ball milling of commercially available precursors, AgF and AgF2, we obtained the first two examples of binary mixed-valent silver(I,II) phases, AgI2AgIIF4 and AgIAgIIF3. While the AgI2AgIIF4 phase was obtained at room temperature, the AgIAgIIF3 phase is metastable and required milling under cryogenic conditions. Using synchrotron powder X-ray diffraction, it was found that AgI2AgIIF4 crystallizes in the P21/c space group and is isostructural to beta-K2AgF4. Here, double-bridged [AgF6]4- octahedra form chains that propagate along the a-crystallographic direction, giving a quasi-1D canted antiferromagnetic character, as shown by magnetic susceptibility. The AgIAgIIF phase adopts the P-1 space group, is isostructural to AgCuF3 and shows features of a one-dimensional antiferromagnet. It is expected that this facile synthetic approach will enable the expansion of silver(II) chemistry and accelerate the search for a silver analogue to cuprate superconductors.
- [11] arXiv:2404.15759 (cross-list from cond-mat.mes-hall) [pdf, other]
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Title: Flat bands in chiral multilayer grapheneComments: 16 pages, 11 figuresSubjects: Mesoscale and Nanoscale Physics (cond-mat.mes-hall); Strongly Correlated Electrons (cond-mat.str-el)
We study the formation and properties of perfectly-flat zero energy bands in a multi-layer graphene systems in the chiral limit. Employing the degrees of freedoms of the multi-layer system, such as relative twist-angle and relative shifts, in a way that preserves a set of symmetries, we define a two-dimensional parameter plane that hosts lines of two and four flat bands. This plane enables adiabatic continuation of multi-layer chiral systems to weakly coupled bi- and tri-layer systems, and through that mapping provides tools for calculating the Chern numbers of the flat bands. We show that a flat band of Chern number $C$ can be spanned by $C$ effective Landau levels, all experiencing an effective flux of $1/C$ flux quantum per unit cell, and each carrying its own intra-unit-cell wave function. The flat bands do not disperse under the effect of a perpendicular magnetic field, and the gap to the dispersive bands closes when the externally applied flux cancels the $1/C$ effective flux.
- [12] arXiv:2404.15883 (cross-list from quant-ph) [pdf, other]
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Title: Non-onsite symmetries and quantum teleportation in split-index matrix product statesAuthors: David T. StephenSubjects: Quantum Physics (quant-ph); Strongly Correlated Electrons (cond-mat.str-el)
We describe a class of spin chains with new physical and computational properties. On the physical side, the spin chains give examples of symmetry-protected topological phases that are defined by non-onsite symmetries, i.e. symmetries that are not a tensor product of single-site operators. These phases can be detected by string-order parameters, but notably do not exhibit entanglement spectrum degeneracy. On the computational side, the spin chains represent a new class of states that can be used to deterministically teleport information across long distances, with the novel property that the necessary classical side processing is a non-linear function of the measurement outcomes. We also give examples of states that can serve as universal resources for measurement-based quantum computation, providing the first examples of such resources without entanglement spectrum degeneracy. The key tool in our analysis is a new kind of tensor network representation which we call split-index matrix product states (SIMPS). We develop the basic formalism of SIMPS, compare them to matrix product states, show how they are better equipped to describe certain kinds of non-onsite symmetries and quantum teleportation, and discuss how they are also well-suited to describing constrained spin chains.
- [13] arXiv:2404.15907 (cross-list from hep-lat) [pdf, other]
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Title: Tricriticality in 4D U(1) Lattice Gauge TheorySubjects: High Energy Physics - Lattice (hep-lat); Strongly Correlated Electrons (cond-mat.str-el); High Energy Physics - Theory (hep-th)
The 4D compact U(1) gauge theory has a well-established phase transition between a confining and a Coulomb phase. In this paper, we revisit this model using state-of-the-art Monte Carlo simulations on anisotropic lattices. We map out the coupling-temperature phase diagram, and determine the location of the tricritical point, $T/K_0 \simeq 0.19$, below which the first-order transition is observed. We find the critical exponents of the high-temperature second-order transition to be compatible with those of the 3-dimensional $O(2)$ model. Our results at higher temperatures can be compared with literature results and are consistent with them. Surprisingly, below $T/K_0 \simeq 0.05$ we find strong indications of a second tricritical point where the first-order transition becomes continuous. These results suggest an unexpected second-order phase transition extending down to zero temperature, contrary to the prevailing consensus. If confirmed, these findings reopen the question of the detailed characterization of the transition including a suitable field theory description.
- [14] arXiv:2404.15972 (cross-list from cond-mat.quant-gas) [pdf, other]
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Title: Nonlocal order parameter of pair superfluidsSubjects: Quantum Gases (cond-mat.quant-gas); Strongly Correlated Electrons (cond-mat.str-el); Quantum Physics (quant-ph)
Order parameters represent a fundamental resource to characterize quantum matter. We show that pair superfluids can be rigorously defined in terms of a nonlocal order parameter, named odd parity, which derivation is experimentally accessible by local density measurements. As a case of study, we first investigate a constrained Bose-Hubbard model at different densities, both in one and two spatial dimensions. Here, our analysis finds pair superfluidity for relatively strong attractive interactions. The odd parity operator acts as the unique order parameter for such phase irrespectively to the density of the system and its dimensionality. In order to enforce our finding, we confirm the generality of our approach also on a two-component Bose-Hubbard Hamiltonian, which experimental realization represents a timely topic in ultracold atomic systems. Our results shed new light on the role of correlated density fluctuations in pair superfluids. In addition, they provide a powerful tool for the experimental detection of such exotic phases and the characterization of their transition to the normal superfluid phase.
- [15] arXiv:2404.16002 (cross-list from cond-mat.mtrl-sci) [pdf, ps, other]
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Title: Optical signatures of type-II Weyl fermions in the noncentrosymmetric semimetals $R$AlSi ($R$=La, Ce, Pr, Nd, Sm)Comments: 8 pages, 6 figures. Accepted for publication in Phys. Rev. BSubjects: Materials Science (cond-mat.mtrl-sci); Strongly Correlated Electrons (cond-mat.str-el)
Weyl semimetals with magnetic ordering provide a promising platform for the investigation of rare topological effects such as the anomalous Hall effect, resulting from the interplay of nontrivial bands with various spin configurations. The materials $R$AlSi, where $R$ represents a rare-earth element, are prominent representatives of Weyl semimetals, where the Weyl states are induced by space inversion symmetry breaking and in addition, for several rare-earth elements $R$, enhanced by time-reversal symmetry breaking through the formation of a magnetic order at low temperature. We report optical signatures of Weyl fermions in the magnetic compounds CeAlSi, PrAlSi, NdAlSi, and SmAlSi as well as the non-magnetic family member LaAlSi by broad-frequency infrared spectroscopy at room temperature, i.e., in the paramagnetic phase. A similar profile of the optical conductivity spectrum and a metallic character are observed for all compounds, with LaAlSi showing the strongest free charge carrier contribution. Furthermore, the linear-in-frequency behavior of the optical conductivity of all investigated compounds indicates the presence of Weyl nodes in close vicinity of the Fermi energy, resulting from inversion symmetry breaking in noncentrosymmetric structures. According to the characteristics of these linear slopes, the $R$AlSi compounds are expected to host mainly type-II Weyl states with overtilted Weyl cones. The results are compared to the optical response of the closely related $R$AlGe materials, which are considered as potential hybridization-driven Weyl-Kondo systems.
Replacements for Thu, 25 Apr 24
- [16] arXiv:2311.09983 (replaced) [pdf, other]
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Title: Charge Density Wave Ordering in NdNiO$_2$: Effects of Multiorbital Nonlocal CorrelationsSubjects: Strongly Correlated Electrons (cond-mat.str-el); Materials Science (cond-mat.mtrl-sci)
- [17] arXiv:2311.15246 (replaced) [pdf, other]
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Title: Thermodynamic Response and Neutral Excitations in Integer and Fractional Quantum Anomalous Hall States Emerging from Correlated Flat BandsSubjects: Strongly Correlated Electrons (cond-mat.str-el); Mesoscale and Nanoscale Physics (cond-mat.mes-hall)
- [18] arXiv:2311.16234 (replaced) [pdf, other]
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Title: Dynamical separation of charge and energy transport in one-dimensional Mott insulatorsComments: 19 pages, 16 figuresJournal-ref: F. M{\o}ller, B. C. Nagy, M. Kormos and G. Tak\'acs, Phys. Rev. B 109, L161112 (2024)Subjects: Strongly Correlated Electrons (cond-mat.str-el); Statistical Mechanics (cond-mat.stat-mech); Quantum Physics (quant-ph)
- [19] arXiv:2402.07731 (replaced) [pdf, ps, other]
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Title: Photoinduced Topological Phase Transitions in a Kitaev kagome magnetComments: arXiv admin note: text overlap with arXiv:1801.04932 by other authorsSubjects: Strongly Correlated Electrons (cond-mat.str-el); Mesoscale and Nanoscale Physics (cond-mat.mes-hall)
- [20] arXiv:2403.01696 (replaced) [pdf, other]
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Title: Time reversal invariant topological 1D and 2D superconductors: doubling the Sau-Luchtin-Tewari-Sarma and Oreg-Refael-von Oppen proposalsAuthors: Garry GoldsteinComments: Comments welcome, V2: minor typos corrected, V3 Minor clarificationsSubjects: Strongly Correlated Electrons (cond-mat.str-el); Superconductivity (cond-mat.supr-con)
- [21] arXiv:2404.06745 (replaced) [pdf, other]
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Title: Direct transition from a fractional quantum anomalous Hall state to a smectic state with the same Hall conductanceSubjects: Strongly Correlated Electrons (cond-mat.str-el); Mesoscale and Nanoscale Physics (cond-mat.mes-hall)
- [22] arXiv:2308.08592 (replaced) [pdf, other]
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Title: Confinement in 1+1D $\mathbb{Z}_2$ Lattice Gauge Theories at Finite TemperatureComments: $7+7$ pages, $4+7$ figures, supplemental videos of the parton-separation probability dynamics at this https URLSubjects: Quantum Gases (cond-mat.quant-gas); Strongly Correlated Electrons (cond-mat.str-el); High Energy Physics - Lattice (hep-lat); Quantum Physics (quant-ph)
- [23] arXiv:2309.07956 (replaced) [pdf, other]
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Title: Classifying fermionic states via many-body correlation measuresComments: 5+13 pages, 2 figuresSubjects: Quantum Physics (quant-ph); Strongly Correlated Electrons (cond-mat.str-el); Mathematical Physics (math-ph); Chemical Physics (physics.chem-ph)
- [24] arXiv:2309.15349 (replaced) [pdf, other]
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Title: A model of randomly-coupled Pauli spinsComments: 35 pages, 16 figures; version accepted for publication in JHEPSubjects: High Energy Physics - Theory (hep-th); Disordered Systems and Neural Networks (cond-mat.dis-nn); Strongly Correlated Electrons (cond-mat.str-el); Quantum Physics (quant-ph)
- [25] arXiv:2402.14061 (replaced) [pdf, other]
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Title: Many-body effects on superconductivity mediated by double-magnon processes in altermagnetsComments: 23 pages, 9 figures, accepted in Physical Review BJournal-ref: Phys. Rev. B 109, 134515 (2024)Subjects: Superconductivity (cond-mat.supr-con); Strongly Correlated Electrons (cond-mat.str-el)
- [26] arXiv:2404.11369 (replaced) [pdf, ps, other]
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Title: Pressure-driven right-triangle shape superconductivity in bilayer nickelate La$_3$Ni$_2$O$_7$Authors: Jingyuan Li, Peiyue Ma, Hengyuan Zhang, Xing Huang, Chaoxin Huang, Mengwu Huo, Deyuan Hu, Zixian Dong, Chengliang He, Jiahui Liao, Xiang Chen, Tao Xie, Hualei Sun, Meng WangComments: 4 figures in the article and 4 figures in the supplementary. Comments and suggestions are welcome!Subjects: Superconductivity (cond-mat.supr-con); Strongly Correlated Electrons (cond-mat.str-el)
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