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Condensed Matter > Strongly Correlated Electrons

Title: Nonequilibrium dynamics in Dirac quantum criticality

Abstract: Quantum criticality within Dirac fermions harbors a plethora of exotic phenomena, attracting sustained attention in the past decades. Nevertheless, the nonequilibrium dynamics therein has rarely been studied. To fill in the gap, we explore the imaginary-time relaxation dynamics in a typical Dirac quantum criticality belonging to chiral Heisenberg universality class. Performing large-scale quantum Monte Carlo simulation, we unveil rich nonequilibrium critical phenomena from different initial states. Particularly, a new dynamic exponent characterizing the non-stationary evolution in the short-time state is determined as $\theta=-0.84(4)$, in sharp contrast with the prevalent belief that $\theta$ is positive as demonstrated in classical cases. Furthermore, we propose a universal dynamic scaling theory governing the fruitful nonequilibrium properties in Dirac quantum criticality. Armed with the scaling theory, we develop a new framework to investigate fermionic quantum criticality based on short-time dynamics, paving a promising avenue to fathoming quantum criticality in diverse fermionic systems with high efficiency.
Comments: 7+5 pages,5+4 figures
Subjects: Strongly Correlated Electrons (cond-mat.str-el); Statistical Mechanics (cond-mat.stat-mech)
Cite as: arXiv:2310.10601 [cond-mat.str-el]
  (or arXiv:2310.10601v1 [cond-mat.str-el] for this version)

Submission history

From: Yin-Kai Yu [view email]
[v1] Mon, 16 Oct 2023 17:30:07 GMT (3587kb,D)

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