Critical Temperature of Heisenberg Models on Regular Trees, via Random Loops
Journal article, 2018

We estimate the critical temperature of a family of quantum spin systems on regular trees of large degree. The systems include the spin-1/2 XXZ model and the spin-1 nematic model. Our formula is conjectured to be valid for large-dimensional cubic lattices. Our method of proof uses a probabilistic representation in terms of random loops.

Quantum Heisenberg

Random loop model

Critical temperature


Jakob Björnberg

University of Gothenburg

Chalmers, Mathematical Sciences, Analysis and Probability Theory

Daniel Ueltschi

The University of Warwick

Journal of Statistical Physics

0022-4715 (ISSN) 1572-9613 (eISSN)

Vol. 173 5 1369-1385

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Other Physics Topics

Control Engineering

Condensed Matter Physics



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