Magic-angle semimetals

Fu, Yixing; König, Elio J.; Wilson, Justin H.; Chou, Yang-Zhi; Pixley, Jedediah H.

doi:10.1038/s41535-020-00271-9

Magic-angle semimetals

Journal Article · 06 October 2020 · npj Quantum Materials

DOI:https://doi.org/10.1038/s41535-020-00271-9· OSTI ID:1850213

^[1]; König, Elio J.; ; ;

OSTI

Abstract

Breakthroughs in two-dimensional van der Waals heterostructures have revealed that twisting creates a moiré pattern that quenches the kinetic energy of electrons, allowing for exotic many-body states. We show that cold atomic, trapped ion, and metamaterial systems can emulate the effects of a twist in many models from one to three dimensions. Further, we demonstrate at larger angles (and argue at smaller angles) that by considering incommensurate effects, the magic-angle effect becomes a single-particle quantum phase transition (including in a model for twisted bilayer graphene in the chiral limit). We call these models “magic-angle semimetals”. Each contains nodes in the band structure and an incommensurate modulation. At magic-angle criticality, we report a nonanalytic density of states, flat bands, multifractal wave functions that Anderson delocalize in momentum space, and an essentially divergent effective interaction scale. As a particular example, we discuss how to observe this effect in an ultracold Fermi gas.

Research Organization:: Rutgers Univ., Piscataway, NJ (United States)

Sponsoring Organization:: USDOE Office of Science (SC)

DOE Contract Number:: FG02-99ER45790;

OSTI ID:: 1850213

Journal Information:: npj Quantum Materials, Journal Name: npj Quantum Materials Journal Issue: 1 Vol. 5; ISSN 2397-4648

Publisher:: Nature Publishing Group

Country of Publication:: United States

Language:: English

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