Quantum spin correlations and random loops
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.
- Publication:
-
arXiv e-prints
- Pub Date:
- April 2014
- DOI:
- 10.48550/arXiv.1404.1595
- arXiv:
- arXiv:1404.1595
- Bibcode:
- 2014arXiv1404.1595U
- Keywords:
-
- Mathematical Physics;
- 60K35;
- 82B10;
- 82B20;
- 82B26;
- 82B31
- E-Print:
- 9 pages, 4 figures. Proceeding for QMATH 12 (Berlin, 10-13 September 2013)