English

Quantum spin correlations and random loops

Mathematical Physics 2014-04-08 v1 math.MP

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.

Keywords

Cite

@article{arxiv.1404.1595,
  title  = {Quantum spin correlations and random loops},
  author = {Daniel Ueltschi},
  journal= {arXiv preprint arXiv:1404.1595},
  year   = {2014}
}

Comments

9 pages, 4 figures. Proceeding for QMATH 12 (Berlin, 10-13 September 2013)

R2 v1 2026-06-22T03:44:06.491Z