Topology- and symmetry-protected domain wall conduction in quantum Hall nematics

Agarwal, Kartiek; Randeria, Mallika T.; Yazdani, A.; Sondhi, S. L.; Parameswaran, S. A.

doi:10.1103/physrevb.100.165103

Title: Topology- and symmetry-protected domain wall conduction in quantum Hall nematics

Journal Article · Tue Oct 01 00:00:00 EDT 2019 · Physical Review. B

DOI:https://doi.org/10.1103/physrevb.100.165103· OSTI ID:1800474

^[1]; Randeria, Mallika T. ^[2]; Yazdani, A. ^[2]; Sondhi, S. L. ^[2]; Parameswaran, S. A. ^[3]

McGill Univ., Montreal, QC (Canada); Princeton Univ., NJ (United States)
Princeton Univ., NJ (United States)
Univ. of Oxford (United Kingdom)

We consider domain walls in nematic quantum Hall ferromagnets predicted to form in multivalley semiconductors, recently probed by scanning tunneling microscopy experiments on Bi(111) surfaces. We show that the domain wall properties depend sensitively on the filling factor ν of the underlying (integer) quantum Hall states. For ν = 1 and in the absence of impurity scattering we argue that the wall hosts a single-channel Luttinger liquid whose gaplessness is a consequence of valley and charge conservation. For ν = 2, it supports a two-channel Luttinger liquid, which for sufficiently strong interactions enters a symmetry-preserving thermal metal phase with a charge gap coexisting with gapless neutral intervalley modes. In this work, the domain wall physics in this state is identical to that of a bosonic topological insulator protected byU(1) ×U(1) symmetry, and we provide a formal mapping between these problems. We discuss other unusual properties and experimental signatures of these anomalous one-dimensional systems.

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Research Organization:: Princeton Univ., NJ (United States)

Sponsoring Organization:: USDOE Office of Science (SC), Basic Energy Sciences (BES); UK Foundation; National Science Foundation (NSF); European Research Council (ERC); European Union Horizon 2020 Research and Innovation Programme; Gordon and Betty Moore Foundation

Grant/Contract Number:: FG02-07ER46419; SC0002140; 804213-TMCS

OSTI ID:: 1800474

Alternate ID(s):: OSTI ID: 1567921

Journal Information:: Physical Review. B, Vol. 100, Issue 16; ISSN 2469-9950

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 5 works

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Cited By (4)

Charge and spin textures of Ising quantum Hall ferromagnet domain walls Danon, Jeroen; Balram, Ajit C.; Sánchez, Samuel Physical Review B, Vol. 100, Issue 23 https://doi.org/10.1103/physrevb.100.235406	journal	December 2019
Interacting multi-channel topological boundary modes in a quantum Hall valley system Randeria, Mallika T.; Agarwal, Kartiek; Feldman, Benjamin E. Nature, Vol. 566, Issue 7744 https://doi.org/10.1038/s41586-019-0913-0	journal	February 2019
Charge and spin textures of Ising quantum Hall ferromagnet domain walls Danon, Jeroen; Balram, Ajit C.; Sánchez, Samuel arXiv https://doi.org/10.48550/arxiv.1909.13249	text	January 2019
Interacting multi-channel topological boundary modes in a quantum Hall valley system Randeria, Mallika T.; Agarwal, Kartiek; Feldman, Benjamin E. arXiv https://doi.org/10.48550/arxiv.1902.02790	text	January 2019

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