Demonstrates exponential decay of spin-spin correlations in quantum spin systems at low temperatures, suggesting implications for higher-dimensional systems.
We consider O(n) O ( n ) -invariant and reflection-positive quantum spin systems on the integer lattice in any dimension, and prove that at low temperatures, spin-spin correlations decay exponentially fast provided n is large enough. This answers a question of Ueltschi, who proved that for small n there is instead long-range order at low temperatures (for d≥ 3 d ≥ 3 ).
No takes yet. Share an insight, caveat, or question.
Björnberg et al. (2026) studied this question.
Synapse has enriched 5 closely related papers on similar clinical questions. Consider them for comparative context: