Existence of Néel order in the \(S=1\) bilinear-biquadratic Heisenberg model via random loops

DOI10.1007/S00220-016-2656-1zbMath1351.82022arXiv1507.04942OpenAlexW3101069209WikidataQ59474149 ScholiaQ59474149MaRDI QIDQ328180

Benjamin Lees

Publication date: 20 October 2016

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

Full work available at URL: https://arxiv.org/abs/1507.04942

zbMATH Keywords

Heisenberg modelNéel orderrandom loop model

Mathematics Subject Classification ID

Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) Quantum stochastic calculus (81S25)

Related Items (4)

The free energy in a class of quantum spin systems and interchange processes ⋮ A direct proof of dimerization in a family of \(\mathrm{SU}(n)\)-invariant quantum spin chains ⋮ Dimerization in quantum spin chains with \(O(n)\) symmetry ⋮ Site-monotonicity properties for reflection positive measures with applications to quantum spin systems

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