Decay of transverse correlations in quantum Heisenberg models
Journal Article
·
· Journal of Mathematical Physics
- Department of Mathematics, University of Warwick, Coventry CV4 7AL (United Kingdom)
We study a class of quantum spin systems that include the S=1/2 Heisenberg and XY-models and prove that two-point correlations exhibit exponential decay in the presence of a transverse magnetic field. The field is not necessarily constant, it may be random, and it points in the same direction. Our proof is entirely probabilistic and it relies on a random loop representations of the correlation functions, on stochastic domination and on first-passage percolation.
- OSTI ID:
- 22403137
- Journal Information:
- Journal of Mathematical Physics, Vol. 56, Issue 4; Other Information: (c) 2015 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA); ISSN 0022-2488
- Country of Publication:
- United States
- Language:
- English
Similar Records
The covariance matrix of the Potts model: A random cluster analysis
Random-Cluster Correlation Inequalities for Gibbs Fields
Investigations of Beam Dynamics Issues at Current and Future Hadron Accelerators (Final Report)
Journal Article
·
Fri Mar 01 00:00:00 EST 1996
· Journal of Statistical Physics
·
OSTI ID:22403137
Random-Cluster Correlation Inequalities for Gibbs Fields
Journal Article
·
Mon Oct 15 00:00:00 EDT 2018
· Journal of Statistical Physics
·
OSTI ID:22403137
Investigations of Beam Dynamics Issues at Current and Future Hadron Accelerators (Final Report)
Technical Report
·
Thu Mar 12 00:00:00 EDT 2015
·
OSTI ID:22403137
+1 more