No-go theorem for quantum structural phase transitions

DOI10.1088/0305-4470/28/18/029zbMath0871.46043OpenAlexW2056378170MaRDI QIDQ4335540

André F. Verbeure, Valentin A. Zagrebnov

Publication date: 30 September 1997

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

Full work available at URL: https://doi.org/10.1088/0305-4470/28/18/029

zbMATH Keywords

structural phase transitionsquantum fluctuationsquantum crystal with local double-well anharmonism

Mathematics Subject Classification ID

Statistical mechanics of crystals (82D25) Symmetry breaking in quantum theory (81R40) Phase transitions (general) in equilibrium statistical mechanics (82B26) Applications of functional analysis in statistical physics (46N55)

Related Items (13)

A QUANTUM CRYSTAL MODEL IN THE LIGHT-MASS LIMIT: GIBBS STATES ⋮ PHASE TRANSITIONS AND QUANTUM EFFECTS IN ANHARMONIC CRYSTALS ⋮ Random-field quantum spherical ferroelectric model ⋮ Operator reflection positivity inequalities and their applications to interacting quantum rotors ⋮ Small mass implies uniqueness of Gibbs states of a quantum crystal ⋮ PHASE TRANSITIONS AND QUANTUM STABILIZATION IN QUANTUM ANHARMONIC CRYSTALS ⋮ Bogolyubov inequality for the ground state and its application to interacting rotor systems ⋮ EUCLIDEAN GIBBS STATES OF QUANTUM LATTICE SYSTEMS ⋮ Euclidean Gibbs measures of interacting quantum anharmonic oscillators ⋮ Bogoliubov quasiaverages: spontaneous symmetry breaking and the algebra of fluctuations ⋮ Algebraic structure of quantum fluctations ⋮ Gibbs state uniqueness for an anharmonic quantum crystal with a non-polynomial double-well potential ⋮ Ground state Euclidean measures for quantum lattice systems on compact manifolds.

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