{"schema":"pubphys.bundle/1","record":{"author":{"account_ref":null,"orcid":null},"builds_on":[],"content_schema":"pubphys.content.revision/1","content_sha256":"66b346fc578870834e3eeabd85283aafd4b71342c4178ed80e65d416dd0ccb85","created":"2026-10-03T07:17:59Z","files":[],"origin":{"assisted_by":[],"kind":"seed"},"parents":["5475cf5dc5b1a72283d26dc95dc6e00d7ea4e00096a7c6492e409a1816eeb011"],"salt":"89e8fe6549525220afd57276cb51bb5b385db8bdde25f204f734f339018a0f5c","schema":"pubphys.record/2","site":"pubphys.com","target":null,"type":"revision"},"content":{"answer_type":"classification","assisted_by":[],"external_id":"cm.disordered-frustrated-magnets.random-singlet-2d-universality","kind":"well-posed","literature_status":"open","n":"1","parents":[],"plain":"In one dimension, random couplings produce the random-singlet state, where spins pair at all distances and time scales grow exponentially with length. Simulations in two dimensions find a similar pairing state with time scales growing only as a power of length, and whether it is one universal phase is unclear.","posed_since":"2018","precise":"For 2D $S = 1/2$ models with random couplings (random $J-Q$ model on the square lattice; random-bond frustrated Heisenberg models on square, triangular and kagome lattices), determine whether the disordered nonmagnetic state is a single phase controlled by one fixed point, the value of its dynamic exponent $z$ (finite, or infinite as in 1D), and the exponent of the algebraic decay of the mean spin correlation. An answer gives $z$ and the correlation exponent with error bars for each model, or shows that they vary continuously.","problem_ref":null,"references":"","settled_by":"Sign-problem-free quantum Monte Carlo of random $J-Q$ models on lattices with $L \\ge 128$, together with DMRG or tensor-network studies of frustrated random-bond models, compared on the same observables.","status_note":"Liu, Shao, Lin, Guo and Sandvik (PRX 2018) found a 2D random-singlet state in the random J-Q model with a finite dynamic exponent that varies across the phase diagram; frustrated random models have not been tested at comparable sizes.","title":"Is the 2D random-singlet state one phase with finite dynamic 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