Journal Article

FZJ-2025-02116

http://join2-wiki.gsi.de/foswiki/pub/Main/Artwork/join2_logo100x88.png Fractional quantum Hall states with variational projected entangled-pair states: A study of the bosonic Harper-Hofstadter model

Weerda, E.FZJ* ; Rizzi, M.FZJ*

2024
APS

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Please use a persistent id in citations: doi:10.1103/PhysRevB.109.L241117  doi:10.34734/FZJ-2025-02116

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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Contributing Institute(s):

1. Quantum Control (PGI-8)

Research Program(s):

1. 5221 - Advanced Solid-State Qubits and Qubit Systems (POF4-522) (POF4-522)
2. DFG project G:(GEPRIS)277101999 - TRR 183: Verschränkte Materiezustände (277101999) (277101999)

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Database coverage:
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