paper

Nematic topological semimetal and insulator in magic angle bilayer graphene at charge neutrality

arXiv:1905.07409 · doi:10.1103/PhysRevResearch.3.013033

Abstract

We report on a fully self-consistent Hartree-Fock calculation of interaction effects on the Moiré flat bands of twisted bilayer graphene, assuming that valley U(1) symmetry is respected. We use realistic band structures and interactions and focus on the charge neutrality point, where experiments have variously reported either insulating or semimetallic behavior. Restricting the search to orders for which the valley U(1) symmetry remains unbroken, we find three types of self-consistent solutions with competitive ground state energy (i) insulators that break symmetry, including valley Chern insulators (ii) spin or valley polarized insulators and (iii) rotation symmetry breaking semimetals whose gaplessness is protected by the topology of the Moiré flat bands. We find that the relative stability of these states can be tuned by weak strains that break rotation. The nematic semimetal and also, somewhat unexpectedly, the breaking insulators, are stabilized by weak strain. These ground states may be related to the semi-metallic and insulating behaviors seen at charge neutrality, and the sample variability of their observation. We also compare with the results of STM measurements near charge neutrality.

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