activity
20172026
most citedFractional quantum Hall states for moiré superstructures in the Hofstadter regime

57 citations · 313 across the 13 of their papers we have counts for

collaborators

13 papers

quant-ph2026

ffsim: Faster simulation of fermionic quantum circuits

Kevin J. Sung, Inho Choi, Mirko Amico +14

We present ffsim, an open-source software library for fast simulation of fermionic quantum circuits. ffsim exploits conservation of particle number and the z component of spin, sym…

cond-mat.str-el2024★ 56 cited

Tensor Network Python (TeNPy) version 1

Johannes Hauschild, Jakob Unfried, Sajant Anand +27

TeNPy (short for 'Tensor Network Python') is a python library for the simulation of strongly correlated quantum systems with tensor networks. The philosophy of this library is to a…

cond-mat.mes-hall2023★ 6 cited

HofstadterTools: A Python package for analyzing the Hofstadter model

Bartholomew Andrews

The Hofstadter model successfully describes the behavior of non-interacting quantum particles hopping on a lattice coupled to a gauge field, and hence is ubiquitous in many fields…

cond-mat.mes-hall2023★ 4 cited

Localization renormalization and quantum Hall systems

Bartholomew Andrews, Dominic Reiss, Fenner Harper +1

The obstruction to constructing localized degrees of freedom is a signature of several interesting condensed matter phases. We introduce a localization renormalization procedure th…

cond-mat.str-el2023★ 21 cited

Stability of fractional Chern insulators with a non-Landau level continuum limit

Bartholomew Andrews, Mathi Raja, Nimit Mishra +2

The stability of fractional Chern insulators is widely believed to be predicted by the resemblance of their single-particle spectra to Landau levels. We investigate the scope of th…

cond-mat.str-el2022★ 6 cited

Self-similarity of spectral response functions for fractional quantum Hall states

Bartholomew Andrews, Gunnar Möller

Spectral response functions are central quantities in the analysis of quantum many-body states, since they describe the response of many-body systems to external perturbations and…

cond-mat.str-el2021★ 25 cited

Fractional Chern insulators with a non-Landau level continuum limit

David Bauer, Spenser Talkington, Fenner Harper +2

Recent developments in fractional quantum Hall (FQH) physics highlight the importance of studying FQH phases of particles partially occupying energy bands that are not Landau level…

cond-mat.str-el2021★ 43 cited

Stability, phase transitions, and numerical breakdown of fractional Chern insulators in higher Chern bands of the Hofstadter model

Bartholomew Andrews, Titus Neupert, Gunnar Möller

The Hofstadter model is a popular choice for theorists investigating the fractional quantum Hall effect on lattices, due to its simplicity, infinite selection of topological flat b…

cond-mat.str-el2020★ 28 cited

Abelian topological order of and fractional quantum Hall states in lattice models

Bartholomew Andrews, Madhav Mohan, Titus Neupert

Determining the statistics of elementary excitations supported by fractional quantum Hall states is crucial to understanding their properties and potential applications. In this pa…

cond-mat.mtrl-sci2020

Absence of diagonal force constants in cubic Coulomb crystals

Bartholomew Andrews, Gareth Conduit

The quasi-harmonic model proposes that a crystal can be modeled as atoms connected by springs. We demonstrate how this viewpoint can be misleading: a simple application of Gauss' l…

cond-mat.str-el2020★ 57 cited

Fractional quantum Hall states for moiré superstructures in the Hofstadter regime

Bartholomew Andrews, Alexey Soluyanov

We study the transition of and fractional quantum Hall states of the honeycomb Hofstadter model as we tune to a two-orbital moiré superlattice Hamiltonian, motivated…

physics.comp-ph2019★ 13 cited

Direct evaluation of the force constant matrix in quantum Monte Carlo

Yu Yang Fredrik Liu, Bartholomew Andrews, Gareth J. Conduit

We develop a formalism to directly evaluate the matrix of force constants within a Quantum Monte Carlo calculation. We utilize the matrix of force constants to accurately relax the…

cond-mat.str-el2017★ 54 cited

Stability of fractional Chern insulators in the effective continuum limit of Harper-Hofstadter bands with Chern number

Bartholomew Andrews, Gunnar Möller

We study the stability of composite fermion fractional quantum Hall states in Harper-Hofstadter bands with Chern number . We analyze the states of the composite fermion seri…