Improved lower bound on thermodynamic pressure of the spin 1/2 Heisenberg ferromagnet
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Publication:2366645
DOI10.1007/BF00739568zbMath0772.60103OpenAlexW1991020635MaRDI QIDQ2366645
Publication date: 11 October 1993
Published in: Letters in Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/bf00739568
Other physical applications of random processes (60K40) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) Statistical mechanics of magnetic materials (82D40)
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Cites Work
- Unnamed Item
- Unnamed Item
- Upper bound on the free energy of the spin 1/2 Heisenberg ferromagnet
- Interaction of Markov processes
- Additive and cancellative interacting particle systems
- Upper bound on the condensate in the hard-core Bose lattice gas
- Random walk representations of the Heisenberg model
- Geometric aspects of quantum spin states
- Nearest-neighbor Markov interaction processes on multidimensional lattices
- General Theory of Spin-Wave Interactions
- Bose-Einstein Condensation and Liquid Helium
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