54 citations · 97 across the 2 of their papers we have counts for
6 papers
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…
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…
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…
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…
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…
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…