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

Luciano Loris Viteritti; Riccardo Rende; Giacomo Bracci-Testasecca; Jacopo Niedda; Roderich Moessner; Giuseppe Carleo; Antonello Scardicchio

arXiv · 2507.05073

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

Luciano Loris Viteritti·Riccardo Rende·Giacomo Bracci-Testasecca·Jacopo Niedda·Roderich Moessner·Giuseppe Carleo·Antonello Scardicchio

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Abstract

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 conventional magnetic long-range order vanishes in the thermodynamic limit, while the Edwards-Anderson order parameter remains finite, signaling the emergence of a quantum spin-glass phase. These findings, supported by a semiclassical analysis based on a large-spin expansion, provide compelling evidence that the spin glass-order is stable against quantum fluctuations, unlike the classical case where it disappears at any finite temperature.

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Luciano Loris Viteritti, Riccardo Rende, Giacomo Bracci-Testasecca, Jacopo Niedda, Roderich Moessner, Giuseppe Carleo, Antonello Scardicchio. 2025-07-07. Quantum Spin Glass in the Two-Dimensional Disordered Heisenberg Model via Foundation Neural-Network Quantum States. https://arxiv.org/abs/2507.05073

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