Site-monotonicity properties for reflection positive measures with applications to quantum spin systems
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Publication:2034673
DOI10.1007/s10955-021-02778-2zbMath1467.82019arXiv2002.12666OpenAlexW3164801014MaRDI QIDQ2034673
Publication date: 22 June 2021
Published in: Journal of Statistical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2002.12666
Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) Statistical mechanics of magnetic materials (82D40)
Related Items (2)
Macroscopic loops in the Bose gas, spin \(O(N)\) and related models ⋮ Macroscopic loops in the \(3 d\) double-dimer model
Cites Work
- Existence of Néel order in the \(S=1\) bilinear-biquadratic Heisenberg model via random loops
- Methods of contemporary mathematical statistical physics. Lecture notes presented at the 5th Prague summer school on mathematical statistical physics, Prague, Czech Republik, September 2006
- Interacting self-avoiding polygons
- Site monotonicity and uniform positivity for interacting random walks and the spin \(O(N)\) model with arbitrary \(N\)
- Loop correlations in random wire models
- Scaling limit of ballistic self-avoiding walk interacting with spatial random permutations
- Conformal invariance of loops in the double-dimer model
- Long-range order for the spin-1 Heisenberg model with a small antiferromagnetic interaction
- Lectures on the Spin and Loop O(n) Models
- Random loop representations for quantum spin systems
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