Dimerization and Néel order in different quantum spin chains through a shared loop representation

DOI10.1007/s00023-020-00924-2zbMath1453.82003arXiv2002.02543OpenAlexW3099728020WikidataQ98239614 ScholiaQ98239614MaRDI QIDQ2195867

Hugo Duminil-Copin, Simone Warzel, Michael Aizenman

Publication date: 28 August 2020

Published in: Annales Henri Poincaré (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2002.02543

zbMATH Keywords

percolationphase transitiondimerizationantiferromagnetic chain

Mathematics Subject Classification ID

Interacting random processes; statistical mechanics type models; percolation theory (60K35) Phase transitions (general) in equilibrium statistical mechanics (82B26) Percolation (82B43) 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)

Related Items (3)

Heisenberg models and Schur-Weyl duality ⋮ Macroscopic loops in the Bose gas, spin \(O(N)\) and related models ⋮ Dimerization in quantum spin chains with \(O(n)\) symmetry

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