Quantum Spin Glass in the Two-Dimensional Disordered Heisenberg Model via Foundation Neural-Network Quantum States

Fuente: arXiv
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Autores principales: Viteritti, Luciano Loris, Rende, Riccardo, Bracci-Testasecca, Giacomo, Niedda, Jacopo, Moessner, Roderich, Carleo, Giuseppe, Scardicchio, Antonello
Formato: Preprint
Publicado: 2025
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author Viteritti, Luciano Loris
Rende, Riccardo
Bracci-Testasecca, Giacomo
Niedda, Jacopo
Moessner, Roderich
Carleo, Giuseppe
Scardicchio, Antonello
author_facet Viteritti, Luciano Loris
Rende, Riccardo
Bracci-Testasecca, Giacomo
Niedda, Jacopo
Moessner, Roderich
Carleo, Giuseppe
Scardicchio, Antonello
contents We investigate the two-dimensional frustrated quantum Heisenberg model with bond disorder on nearest-neighbor couplings using the recently introduced Foundation Neural-Network Quantum States framework, which enables accurate and efficient computation of disorder-averaged observables with a single variational optimization. Simulations on large lattices reveal an extended region of the phase diagram where long-range magnetic order vanishes in the thermodynamic limit, while the overlap order parameter, which characterizes quantum spin glass states, remains finite. These findings, supported by a semiclassical analysis based on a large-spin expansion, provide compelling evidence that the spin glass phase is stable against quantum fluctuations, unlike the classical case where it disappears at any finite temperature.
format Preprint
id arxiv_https___arxiv_org_abs_2507_05073
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Quantum Spin Glass in the Two-Dimensional Disordered Heisenberg Model via Foundation Neural-Network Quantum States
Viteritti, Luciano Loris
Rende, Riccardo
Bracci-Testasecca, Giacomo
Niedda, Jacopo
Moessner, Roderich
Carleo, Giuseppe
Scardicchio, Antonello
Disordered Systems and Neural Networks
Strongly Correlated Electrons
Quantum Physics
We investigate the two-dimensional frustrated quantum Heisenberg model with bond disorder on nearest-neighbor couplings using the recently introduced Foundation Neural-Network Quantum States framework, which enables accurate and efficient computation of disorder-averaged observables with a single variational optimization. Simulations on large lattices reveal an extended region of the phase diagram where long-range magnetic order vanishes in the thermodynamic limit, while the overlap order parameter, which characterizes quantum spin glass states, remains finite. These findings, supported by a semiclassical analysis based on a large-spin expansion, provide compelling evidence that the spin glass phase is stable against quantum fluctuations, unlike the classical case where it disappears at any finite temperature.
title Quantum Spin Glass in the Two-Dimensional Disordered Heisenberg Model via Foundation Neural-Network Quantum States
topic Disordered Systems and Neural Networks
Strongly Correlated Electrons
Quantum Physics
url https://arxiv.org/abs/2507.05073