Decay of transverse correlations in quantum Heisenberg models

DOI10.1063/1.4918675zbMath1317.82008arXiv1501.02109OpenAlexW2005808818WikidataQ62458366 ScholiaQ62458366MaRDI QIDQ5250085

Jakob E. Björnberg, Daniel Ueltschi

Publication date: 15 May 2015

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

Full work available at URL: https://arxiv.org/abs/1501.02109

zbMATH Keywords

quantum spin systemsexponential decaytransverse magnetic fieldquantum Heisenberg modelstransverse correlation

Mathematics Subject Classification ID

Dynamic lattice systems (kinetic Ising, etc.) and systems on graphs in time-dependent statistical mechanics (82C20) Percolation (82B43) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) Time-dependent percolation in statistical mechanics (82C43)

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The free energy in a class of quantum spin systems and interchange processes, Existence of Néel order in the \(S=1\) bilinear-biquadratic Heisenberg model via random loops, A direct proof of dimerization in a family of \(\mathrm{SU}(n)\)-invariant quantum spin chains, Dimerization and Néel order in different quantum spin chains through a shared loop representation, Critical temperature of Heisenberg models on regular trees, via random loops, Exponential decay of transverse correlations for \(O(N)\) spin systems and related models

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