Localization in the ground-state of the one-dimensional x-y model with a random transverse field

DOI10.1007/BF02097047zbMath0691.60092OpenAlexW1646508746MaRDI QIDQ582723

J. Fernando Perez, Abel Klein

Publication date: 1990

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

Full work available at URL: https://doi.org/10.1007/bf02097047

zbMATH Keywords

exponential decayJordan-Wigner transformationspin-spin correlation functions

Mathematics Subject Classification ID

Interacting random processes; statistical mechanics type models; percolation theory (60K35) Classical equilibrium statistical mechanics (general) (82B05) Stochastic mechanics (including stochastic electrodynamics) (81P20)

Related Items (12)

A uniform area law for the entanglement of eigenstates in the disordered XY chain ⋮ On polynomial Lieb-Robinson bounds for the XY chain in a decaying random field ⋮ Decay of determinantal and Pfaffian correlation functionals in one-dimensional lattices ⋮ Manifestations of dynamical localization in the disordered XXZ spin chain ⋮ Low-energy Fock-space localization for attractive hard-core particles in disorder ⋮ On the localization regime of certain random operators within Hartree–Fock theory ⋮ Dynamical localization in disordered quantum spin systems ⋮ Aspects of the mathematical theory of disordered quantum spin chains ⋮ Localization in the ground state of a disordered array of quantum rotators ⋮ Ising model in a quasiperiodic transverse field, percolation, and contact processes in quasiperiodic environments ⋮ Localization in the ground state of an interacting quasi-periodic fermionic chain ⋮ Localization in the ground state of the Ising model with a random transverse field

Cites Work

• A new proof of localization in the Anderson tight binding model
• Constructive proof of localization in the Anderson tight binding model
• Sur le spectre des opérateurs aux différences finies aléatoires
• Anderson localization for Bernoulli and other singular potentials
• Two soluble models of an antiferromagnetic chain

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