Valley magnetism, nematicity, and density wave orders in twisted bilayer graphene

Chichinadze, Dmitry V.; Classen, Laura; Chubukov, Andrey V.

doi:10.1103/physrevb.102.125120

Valley magnetism, nematicity, and density wave orders in twisted bilayer graphene

Journal Article · Mon Sep 14 00:00:00 EDT 2020 · Physical Review. B

DOI:https://doi.org/10.1103/physrevb.102.125120· OSTI ID:1660737

Chichinadze, Dmitry V. ^[1]; Classen, Laura ^[2]; ^[3]

University of Minnesota, Minneapolis, MN (United States); University of Minnesota
University of Minnesota, Minneapolis, MN (United States); Brookhaven National Laboratory (BNL), Upton, NY (United States)
University of Minnesota, Minneapolis, MN (United States)

We analyze density wave and Pomeranchuk orders in twisted bilayer graphene. This complements our earlier analysis of the pairing instabilities. We assume that near half filling of either conduction or valence band, the Fermi level is close to Van Hove points, where the density of states diverges, and study potential instabilities in the particle-hole channel within a patch model with two valley degrees of freedom. The hexagonal symmetry of twisted bilayer graphene allows for either six or twelve Van Hove points. We consider both cases and find the same two leading candidates for particle-hole order. One is an SU(2)-breaking spin state with ferromagnetism within a valley. A subleading intervalley hopping induces antiferromagnetism between the valleys. The same state has also been obtained in strong-coupling approaches, indicating that this order is robust. Here, the other is a mixed state with 120° complex spin order and orthogonal complex charge order. In addition, we find a weaker but still attractive interaction in nematic channels, and discuss the type of a nematic order.

View Accepted Manuscript (DOE)

Research Organization:: Brookhaven National Laboratory (BNL), Upton, NY (United States); Univ. of Minnesota, Minneapolis, MN (United States)

Sponsoring Organization:: Humboldt Foundation; USDOE Office of Science (SC), Basic Energy Sciences (BES)

Grant/Contract Number:: SC0012704; SC0014402

OSTI ID:: 1660737

Alternate ID(s):: OSTI ID: 1804111
OSTI ID: 1670668

Report Number(s):: BNL--219920-2020-JAAM

Journal Information:: Physical Review. B, Journal Name: Physical Review. B Journal Issue: 12 Vol. 102; ISSN 2469-9950

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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Nematic superconductivity in twisted bilayer graphene

Journal Article · Thu Jun 25 20:00:00 EDT 2020 · Physical Review. B · OSTI ID:1660743

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Valley magnetism, nematicity, and density wave orders in twisted bilayer graphene

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