The phase transition of the quantum Ising model is sharp
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Publication:842326
DOI10.1007/s10955-009-9788-zzbMath1186.82022arXiv0901.0328OpenAlexW1994838328MaRDI QIDQ842326
Geoffrey R. Grimmett, Jakob E. Björnberg
Publication date: 22 September 2009
Published in: Journal of Statistical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0901.0328
phase transitiondifferential inequalityIsing modelquantumrandom-clussterrandom-parity representation
Phase transitions (general) in equilibrium statistical mechanics (82B26) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20)
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Quantum Griffiths inequalities, The free energy in a class of quantum spin systems and interchange processes, Critical value of the quantum Ising model on star-like graphs, Infrared bound and mean-field behaviour in the quantum Ising model, Conformal invariance in the FK-representation of the quantum Ising model and convergence of the interface to the \(\mathrm{SLE}_{16/3}\), Localization for the Ising model in a transverse field with generic aperiodic disorder, Universality for the random-cluster model on isoradial graphs, Fermionic observables in the transverse Ising chain, Random current representation for transverse field Ising model, Bounded entanglement entropy in the quantum Ising model, Decay of transverse correlations in quantum Heisenberg models, Vanishing critical magnetization in the quantum Ising model
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