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Improved bounds for connection probabilities in random loop models
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DOI：10.1142/s0129055x26500042.png)
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Abstract
En 中文
We revisit and extend results by Ueltschi [Random loop representations for quantum spin systems, J. Math. Phys. 54(8) (2013) 083301] on the application of reflection positivity to loop models with theta is an element of N->= 2. By exploiting additional flexibility in the method, we prove the existence of long loops over a broader range of parameters u and theta, and establish new lower bounds for connection probabilities and the critical parameter beta(c). Our results are compared with recent numerical simulations, providing further insight into the phase diagram of quantum spin systems.
Keywords:
Spin systems
quantum Heisenberg model
probabilistic representations
phase transition
reflection positivity
Journal
R
IF:
1.3
Papers:
26
Citations:
0