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Condensed Matter > Mesoscale and Nanoscale Physics
Title: Fractional Quantum Hall States of the $\mathcal{A}$ phase in the Second Landau Level
(Submitted on 2 Jan 2023 (v1), last revised 25 Feb 2024 (this version, v3))
Abstract: A proposal of the existence of an {\em Anomalous} phase ($\mathcal{A}$ phase) [this https URL Das et al., Phys. Rev. Lett. 131, 056202 (2023)] at the experimental range of moderate Landau-level-mixing strength has recently been made for $5/2$ state. We here report that the gapped $\mathcal{A}$ phase is generic to the sequence of spin-polarized fractional quantum Hall states with filling fractions $\nu = n/(nm-1)$ and $\nu = 1-n/(nm-1)$, $(n \geqslant 1,\,m\geqslant 3)$, that exhausts almost all the observed states and also predicts some states in the second Landau level for GaAs systems. Our proposed trial wavefunctions for all these states have remarkably high overlaps with the corresponding exact ground states and can support non-Abelian quasiparticle excitations with charge $e/[2(nm-1)]$. By analyzing edge modes, we predict experimentally verifiable thermal Hall conductance $2.5(\pi^2 k_B^2T/3h)$ for all the states in these sequences.
Submission history
From: Sudipto Das [view email][v1] Mon, 2 Jan 2023 19:27:22 GMT (1954kb,D)
[v2] Wed, 24 Jan 2024 17:45:39 GMT (2151kb,D)
[v3] Sun, 25 Feb 2024 17:49:43 GMT (2182kb,D)
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