Quantum spin correlations and random loops

DOI10.1142/9789814618144_0004zbMath1343.82016arXiv1404.1595OpenAlexW2962706412WikidataQ62458382 ScholiaQ62458382MaRDI QIDQ2813554

Daniel Ueltschi

Publication date: 24 June 2016

Published in: Mathematical Results in Quantum Mechanics (Search for Journal in Brave)

Abstract: We review the random loop representations of Toth and Aizenman-Nachtergaele for quantum Heisenberg models. They can be combined and extended so as to include the quantum XY model and certain SU(2)-invariant spin 1 systems. We explain the calculations of correlation functions.

Full work available at URL: https://arxiv.org/abs/1404.1595

zbMATH Keywords

quantum spin systems Heisenberg model random loop model

Mathematics Subject Classification ID

Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) Statistical mechanics of magnetic materials (82D40)

This page was built for publication: Quantum spin correlations and random loops