Quantum melting a Wigner crystal into Hall liquids

Fuente: arXiv
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Autori principali: Reddy, Aidan P., Fu, Liang
Natura: Preprint
Pubblicazione: 2025
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author Reddy, Aidan P.
Fu, Liang
author_facet Reddy, Aidan P.
Fu, Liang
contents Recent experiments have shown that, counterintuitively, applying a magnetic field to a Wigner crystal can induce quantum Hall effects. In this Letter, we use variational Monte Carlo to show that a magnetic field can melt zero-field Wigner crystals into integer quantum Hall liquids. This melting originates from quantum oscillations in the liquid's ground state energy, which develops downward cusps at integer filling factors due to incompressibility. Our calculations establish a range of densities in which this quantum melting transition occurs.
format Preprint
id arxiv_https___arxiv_org_abs_2508_21000
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Quantum melting a Wigner crystal into Hall liquids
Reddy, Aidan P.
Fu, Liang
Mesoscale and Nanoscale Physics
Strongly Correlated Electrons
Recent experiments have shown that, counterintuitively, applying a magnetic field to a Wigner crystal can induce quantum Hall effects. In this Letter, we use variational Monte Carlo to show that a magnetic field can melt zero-field Wigner crystals into integer quantum Hall liquids. This melting originates from quantum oscillations in the liquid's ground state energy, which develops downward cusps at integer filling factors due to incompressibility. Our calculations establish a range of densities in which this quantum melting transition occurs.
title Quantum melting a Wigner crystal into Hall liquids
topic Mesoscale and Nanoscale Physics
Strongly Correlated Electrons
url https://arxiv.org/abs/2508.21000