Weyl Semimetal to Metal Phase Transitions Driven by Quasiperiodic Potentials

J. H. Pixley, Justin H. Wilson, David A. Huse, Sarang Gopalakrishnan

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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).

Original languageEnglish (US)
Article number207604
JournalPhysical review letters
Volume120
Issue number20
DOIs
StatePublished - May 18 2018

All Science Journal Classification (ASJC) codes

  • Physics and Astronomy(all)

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