Weyl semimetal to metal phase transitions driven by quasiperiodic potentials

Abstract

We explore the stability of three-dimensional Weyl and Dirac semimetals subject to quasiperiodic potentials. We present numerical evidence that the semimetal is stable for weak quasiperiodic potentials, despite being unstable for weak random potentials. As the quasiperiodic potential strength increases, the semimetal transitions to a metal, then to an "inverted" semimetal, and then finally to a metal again. The semimetal and metal are distinguished by the density of states at the Weyl point, as well as by level statistics, transport, and the momentum-space structure of eigenstates near the Weyl point. The critical properties of the transitions in quasiperiodic systems differ from those in random systems: we do not find a clear critical scaling regime in energy; instead, at the quasiperiodic transitions, the density of states appears to jump abruptly (and discontinuously to within our resolution).

6 pages, 4 figures; supplemental 5 pages, 9 figures

References in corpus (8)

• Many body localization and thermalization in quantum statistical mechanics
• The Kernel Polynomial Method
• Rare region effects dominate weakly disordered 3D Dirac points
• Diffusive Quantum Criticality in Three Dimensional Disordered Dirac Semimetals
• Unconventional localisation transition in high dimensions
• Anderson localization transitions with and without random potentials
• Effective field theory of the disordered Weyl semimetal
• Exotic topological density waves in cold atomic Rydberg fermions

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