Random walk representations of the Heisenberg model

DOI10.1007/BF01057876zbMath0945.82526WikidataQ59255852 ScholiaQ59255852MaRDI QIDQ1279333

Joseph G. Conlon, Jan Philip Solovej

Publication date: 31 May 1999

Published in: Journal of Statistical Physics (Search for Journal in Brave)

zbMATH Keywords

Ising modelHeisenberg modelrandom walk

Mathematics Subject Classification ID

Interacting random processes; statistical mechanics type models; percolation theory (60K35) Diffusion processes (60J60) Random walks, random surfaces, lattice animals, etc. in equilibrium statistical mechanics (82B41) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20)

Related Items (7)

Geometric aspects of quantum spin states ⋮ Improved lower bound on thermodynamic pressure of the spin 1/2 Heisenberg ferromagnet ⋮ Interaction corrections to spin-wave theory in the large-\(S\) limit of the quantum Heisenberg ferromagnet ⋮ Split-and-merge in stationary random stirring on lattice torus ⋮ Upper bound on the free energy of the spin 1/2 Heisenberg ferromagnet ⋮ The mean-field quantum Heisenberg ferromagnet via representation theory ⋮ Validity of the spin-wave approximation for the free energy of the Heisenberg ferromagnet

Cites Work

• Unnamed Item
• The classical limit of quantum spin systems
• On asymptotic limits for the quantum Heisenberg model
• General Theory of Spin-Wave Interactions

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