{"schema":"pubphys.bundle/1","record":{"author":{"account_ref":null,"orcid":null},"builds_on":[],"content_schema":"pubphys.content.revision/1","content_sha256":"06826365c6501eeb533c8e1b9bf4a2e4330f1256ff19df17f044ff56ba2060b6","created":"2026-10-03T07:18:01Z","files":[],"origin":{"assisted_by":[],"kind":"seed"},"parents":["5475cf5dc5b1a72283d26dc95dc6e00d7ea4e00096a7c6492e409a1816eeb011"],"salt":"9eb9cb17fabe500b67a20d0c568ea57174e9d85171282100780a4688b75eea05","schema":"pubphys.record/2","site":"pubphys.com","target":null,"type":"revision"},"content":{"answer_type":"classification","assisted_by":[],"external_id":"cm.quantum-spin-glasses.infinite-randomness-2d","kind":"well-posed","literature_status":"partially-resolved","n":"1","parents":[],"plain":"In some disordered quantum magnets the transition is controlled by rare, strongly coupled regions, so time scales grow exponentially with length instead of as a power. In two dimensions simulations find that one kind of excitation behaves this way while another does not, and how the two fit into one critical theory is unsettled.","posed_since":"","precise":"For the 2D transverse-field Edwards-Anderson model, H = -sum_<xy> J_xy sz_x sz_y - Gamma sum_x sx_x on the square lattice, the parity-even gap closes as L^-$z_e$ with finite z_e while the parity-odd gap Delta = E_0,odd - E_0,even has a fat-tailed distribution and closes faster than any power of $L$. Determine whether the odd gap obeys activated scaling $\\ln(1/\\Delta) \\sim L^{\\psi}$ with an ever-broadening distribution, as strong-disorder renormalization group predicts, and the value of $\\psi$; and determine the scaling of the typical and average spin-glass susceptibility near Gamma_c, including any Griffiths divergence on the paramagnetic side. An answer gives $\\psi$ (or excludes activated scaling) and the Griffiths exponents with error bars.","problem_ref":null,"references":"","settled_by":"Strong-disorder renormalization group results checked against large-scale quantum Monte Carlo data for the full distributions of gaps and local susceptibilities at and near $\\Gamma_{c}$.","status_note":"Bernaschi et al. (Nature 2024) found $z_{e} = 2.46(17)$ for parity-even excitations and a Levy-type fat-tailed parity-odd gap distribution; $\\psi$ and the Griffiths behavior are not yet determined.","title":"Is the 2D quantum spin-glass transition controlled by infinite 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