Pith. sign in

REVIEW 5 cited by

Theory of quantum anomalous Hall phases in pentalayer rhombohedral graphene moir\'e structures

Not yet reviewed by Pith; the record is open.

This paper has not been read by Pith yet. Machine review is queued; the pith claim, tier, and objections will appear here once it completes.

SPECIMEN: schema-true, not a live event

T0 review · schema-true

One-sentence machine reading of the paper's core claim.

pith:XXXXXXXX · record.json · timestamp

arxiv 2311.03445 v3 pith:W7TDKJNM submitted 2023-11-06 cond-mat.str-el cond-mat.mes-hall

classification cond-mat.str-elcond-mat.mes-hall
keywords bandchern-hallphasesquantumanomalousfieldflat
verification ladder T0 review T1 audit T2 compute T3 formal

Signed reviews

No signed human review yet.

0 comments
abstract

Remarkable recent experiments on the moir\'e structure formed by pentalayer rhombohedral graphene aligned with a hexagonal Boron-Nitride substrate report the discovery of a zero field fractional quantum hall effect. These "(Fractional) Quantum Anomalous Hall" ((F)QAH) phases occur for one sign of a perpendicular displacement field, and correspond, experimentally, to full or partial filling of a valley polarized Chern-$1$ band. Such a band is absent in the non-interacting band structure. Here we show that electron-electron interactions play a crucial role, and present microscopic theoretical calculations demonstrating the emergence of a nearly flat, isolated, Chern-$1$ band and FQAH phases in this system. We also study the four and six-layer analogs and identify parameters where a nearly flat isolated Chern-$1$ band emerges which may be suitable to host FQAH physics.

Discussion (0). Continue with ORCID to comment.

Forward citations

Cited by 5 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Universal Moir\'e-Model-Building Method without Fitting: Application to Twisted MoTe$_2$ and WSe$_2$

    cond-mat.mes-hall 2024-11 conditional novelty 7.0 of 10

    Continuum models for twisted MoTe2 and WSe2 are constructed directly from DFT by projecting the DFT Hamiltonian onto a basis of continuum-model terms, without nonlinear fitting.

  2. Continuous transition from Fermi liquid to A fractional Chern insulator

    cond-mat.str-el 2025-07 conditional novelty 6.0 of 10

    A critical theory is proposed for a continuous Fermi liquid to fractional Chern insulator transition at ν=2/3, predicting a high-temperature Hall resistivity near 3/2 h/e^2 on the Fermi liquid side.

  3. Quantum Geometry in the NbSe$_2$ Family I: Obstructed Compact Wannier Function and New Perturbation Theory

    cond-mat.mes-hall 2025-07 conditional novelty 6.0 of 10

    Monolayer NbSe2's Fermi-level flat band is an obstructed atomic band whose Wannier function is 94% reproduced by a compact three-site orbital, and its minimal model has next-nearest-neighbor hopping larger than neares...

  4. Switchable Chern insulator, isospin competitions and charge density waves in rhombohedral graphene moire superlattices

    cond-mat.str-el 2024-12 conditional novelty 6.0 of 10

    A rhombohedral hexalayer graphene/hBN moiré device hosts a doping-switchable Chern insulator, three competing isospin insulators at v=2, and charge-density-wave states at fractional fillings.

  5. Quantum Geometry in Quantum Materials

    cond-mat.mes-hall 2024-12 unverdicted

    This review surveys how the quantum geometric tensor shapes superconductivity, spin stiffness, exciton condensates, Landau levels, and fractional Chern insulators in quantum materials.

Pith tools