Quantum Hall physics: Hierarchies and conformal field theory techniques

TH Hansson, M Hermanns, SH Simon, SF Viefers - Reviews of Modern Physics, 2017 - APS
The fractional quantum Hall effect, being one of the most studied phenomena in condensed
matter physics during the past 30 years, has generated many ground-breaking new ideas …

Fractional quantum anomalous Hall states in twisted bilayer and

AP Reddy, F Alsallom, Y Zhang, T Devakul, L Fu - Physical Review B, 2023 - APS
We demonstrate via exact diagonalization that AA-stacked transition metal dichalcogenide
homobilayers host fractional quantum anomalous Hall (FQAH) states with fractionally …

Maximally localized Wannier functions, interaction models, and fractional quantum anomalous Hall effect in twisted bilayer MoTe2

C Xu, J Li, Y Xu, Z Bi, Y Zhang - Proceedings of the National Academy of …, 2024 - pnas.org
We investigate the moiré band structures and the strong correlation effects in twisted bilayer
MoTe 2 for a wide range of twist angles, employing a combination of various techniques …

[BOEK][B] Fractional quantum hall effects: new developments

BI Halperin, JK Jain - 2020 - books.google.com
The fractional quantum Hall effect has been one of the most active areas of research in
quantum condensed matter physics for nearly four decades, serving as a paradigm for …

Microscopic model for fractional quantum Hall nematics

S Pu, AC Balram, J Taylor, E Fradkin, Z Papić - Physical review letters, 2024 - APS
Geometric fluctuations of the density mode in a fractional quantum Hall (FQH) state can give
rise to a nematic FQH phase, a topological state with a spontaneously broken rotational …

Infinite density matrix renormalization group for multicomponent quantum Hall systems

MP Zaletel, RSK Mong, F Pollmann, EH Rezayi - Physical Review B, 2015 - APS
While the simplest quantum Hall plateaus, such as the ν= 1/3 state in GaAs, can be
conveniently analyzed by assuming only a single active Landau level participates, for many …

Landau Level Mixing and the Ground State of the Quantum Hall Effect

EH Rezayi - Physical Review Letters, 2017 - APS
Inter-Landau-level transitions break particle hole symmetry and will choose either the
Pfaffian or the anti-Pfaffian state as the absolute ground state at 5/2 filling of the fractional …

More realistic Hamiltonians for the fractional quantum Hall regime in GaAs and graphene

MR Peterson, C Nayak - Physical Review B—Condensed Matter and Materials …, 2013 - APS
We construct an effective Hamiltonian for electrons in the fractional quantum Hall regime for
GaAs and graphene that takes into account Landau level mixing (for both GaAs and …

Phase Diagram of the Fractional Quantum Hall Effect: Effects of Landau-Level Mixing and Nonzero Width

K Pakrouski, MR Peterson, T Jolicoeur, VW Scarola… - Physical Review X, 2015 - APS
Interesting non-Abelian states, eg, the Moore-Read Pfaffian and the anti-Pfaffian, offer
candidate descriptions of the ν= 5/2 fractional quantum Hall state. But, the significant …

Moore-Read state in half-filled moiré Chern band from three-body pseudopotential

L Zhang, XY Song - Physical Review B, 2024 - APS
The moiré system provides a tunable platform for exploring exotic phases of materials. This
article shows the possible realization of a non-Abelian state characterized by the Moore …