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

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arxiv 2507.05073 v3 pith:DLYOR4VQ submitted 2025-07-07 cond-mat.dis-nn cond-mat.str-elquant-ph

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 This is my paper
classification cond-mat.dis-nn cond-mat.str-elquant-ph
keywords quantumfinitefoundationheisenbergmodelneural-networkorderphase
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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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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Cited by 4 Pith papers

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    Deep Boltzmann Quantum States with natural-gradient optimization and annealing-like training match exact or best-known solutions for large infinite-range Ising spin glasses and solve job shop scheduling instances.