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  • Letter
  • Open Access

Fractional quantum Hall states with variational projected entangled-pair states: A study of the bosonic Harper-Hofstadter model

Erik Lennart Weerda*

Matteo Rizzi

  • *Contact author: weerda@thp.uni-koeln.de
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Phys. Rev. B 109, L241117 – Published 26 June, 2024

DOI: https://doi.org/10.1103/PhysRevB.109.L241117

Abstract

An important class of model Hamiltonians for investigation of topological phases of matter consists of mobile, interacting particles on a lattice subject to a semiclassical gauge field, as exemplified by the bosonic Harper-Hofstadter model. A unique method for investigations of two-dimensional quantum systems are the infinite projected-entangled pair states, as they avoid spurious finite-size effects that can alter the phase structure. However, due to no-go theorems in related cases, this was often conjectured to be impossible in the past. In this Letter, we show that upon variational optimization, the infinite projected-entangled pair states can be used to this end by identifying fractional Hall states in the bosonic Harper-Hofstadter model. The obtained states are characterized by showing exponential decay of bulk correlations, as dictated by a bulk gap, as well as chiral edge modes via the entanglement spectrum.

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Phys. Rev. B 109, L241117– Published 26 June, 2024
  • Received 10 October 2023
  • Accepted 28 May 2024
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