Time-reversal invariant topological moiré flat band: A platform for the fractional quantum spin Hall effect

Wu, Yi-Ming; Shaffer, Daniel; Wu, Zhengzhi; Santos, Luiz H.

doi:10.1103/physrevb.109.115111

Time-reversal invariant topological moiré flat band: A platform for the fractional quantum spin Hall effect

Journal Article · Wed Mar 06 00:00:00 EST 2024 · Physical Review. B

DOI:https://doi.org/10.1103/physrevb.109.115111· OSTI ID:2317795

Wu, Yi-Ming ^[1]; Shaffer, Daniel ^[2]; Wu, Zhengzhi ^[3]; Santos, Luiz H. ^[2]

Stanford University, CA (United States); Emory University
Emory University, Atlanta, GA (United States)
Tsinghua University, Beijing (China)

Motivated by recent observation of the quantum spin Hall effect in monolayer germanene and twisted bilayer transition-metal-dichalcogenides (TMDs), we study the topological phases of moir twisted bilayers with time-reversal symmetry and spin sz conservation. By using a continuum model description which can be applied to both germanene and TMD bilayers, we show that at small twist angles the emergent moir flat bands can be topologically nontrivial due to inversion symmetry breaking. Each of these flat bands admits a lowest-Landau-level description for each spin projection in the chiral limit and at magic twist angle. Furthermore, this allows for the construction of a many-body Laughlin state with time-reversal symmetry which can be stabilized by a short-range pseudopotential, and therefore serves as an ideal platform for realizing the so-far elusive fractional quantum spin Hall effect with emergent spin-1/2 U(1) symmetry.

View Accepted Manuscript (DOE)

Research Organization:: Emory University, Atlanta, GA (United States)

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

Grant/Contract Number:: SC0023327

OSTI ID:: 2317795

Alternate ID(s):: OSTI ID: 2473403

Journal Information:: Physical Review. B, Journal Name: Physical Review. B Journal Issue: 11 Vol. 109; ISSN 2469-9950

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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