The free energy in a class of quantum spin systems and interchange processes

DOI10.1063/1.4959238zbMath1352.82027arXiv1512.06986OpenAlexW2232938404MaRDI QIDQ3185708

Jakob E. Björnberg

Publication date: 4 August 2016

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

Full work available at URL: https://arxiv.org/abs/1512.06986

zbMATH Keywords

free energycritical temperaturequantum spin systemsinterchange processes

Mathematics Subject Classification ID

Phase transitions (general) in equilibrium statistical mechanics (82B26) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) Critical phenomena in equilibrium statistical mechanics (82B27) Statistical mechanics of magnetic materials (82D40) Statistical thermodynamics (82B30)

Related Items (10)

Critical parameter of random loop model on trees ⋮ Critical Parameters for Loop and Bernoulli Percolation ⋮ Quantum spins and random loops on the complete graph ⋮ Heisenberg models and Schur-Weyl duality ⋮ The Spectral Gap and Low-Energy Spectrum in Mean-Field Quantum Spin Systems ⋮ Strongly correlated random interacting processes. Abstracts from the workshop held January 28 -- February 3, 2018 ⋮ Phase transition for the interchange and quantum Heisenberg models on the Hamming graph ⋮ Bounded entanglement entropy in the quantum Ising model ⋮ Loop correlations in random wire models ⋮ The mean-field quantum Heisenberg ferromagnet via representation theory

Cites Work

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• Large cycles in random permutations related to the Heisenberg model
• Some remarks on the ground state of infinite systems in statistical mechanics
• Decay of transverse correlations in quantum Heisenberg models
• Cycle structure of the interchange process and representation theory
• Random loop representations for quantum spin systems

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