Magic Angles and Fractional Chern Insulators in Twisted Homobilayer Transition Metal Dichalcogenides

Morales-Durán, Nicolás; Wei, Nemin; Shi, Jingtian; MacDonald, Allan H.

doi:10.1103/physrevlett.132.096602

Title: Magic Angles and Fractional Chern Insulators in Twisted Homobilayer Transition Metal Dichalcogenides

Journal Article · 01 March 2024 · Physical Review Letters

DOI: https://doi.org/10.1103/physrevlett.132.096602 · OSTI ID:2437708

^[1]; Wei, Nemin ^[2]; Shi, Jingtian ^[2];

^[2]

University of Texas at Austin, TX (United States); University of Texas at Austin
University of Texas at Austin, TX (United States)

We explain the appearance of magic angles and fractional Chern insulators in twisted K-valley homobilayer transition metal dichalcogenides by mapping their continuum model to a Landau level problem. Here, our approach relies on an adiabatic approximation for the quantum mechanics of valence band holes in a layer-pseudospin field that is valid for sufficiently small twist angles and on a lowest Landau level approximation that is valid for sufficiently large twist angles. It provides a simple qualitative explanation for the nearly ideal quantum geometry of the lowest moir´e miniband at particular twist angles, predicts that topological flat bands occur only when the valley-dependent moir´e potential is sufficiently strong compared to the interlayer tunneling amplitude, and provides a convenient starting point for the study of interactions.

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Research Organization:: University of Texas at Austin, TX (United States)

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

Grant/Contract Number:: SC0022106; SC0019481

OSTI ID:: 2437708

Journal Information:: Physical Review Letters, Journal Name: Physical Review Letters Journal Issue: 9 Vol. 132; ISSN 0031-9007

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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Related Subjects

36 MATERIALS SCIENCE
adiabatic
layer-pseudospin
quantum anomalous Hall effect
topological flat bands
topological order
transition metal dichalcogenides
twist angles
twisted K-valley
twisted heterostructures
twistronics

Title: Magic Angles and Fractional Chern Insulators in Twisted Homobilayer Transition Metal Dichalcogenides

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