Low-energy Fock-space localization for attractive hard-core particles in disorder

DOI10.1007/s00023-017-0591-0zbMath1380.82026arXiv1703.02465OpenAlexW2995734134MaRDI QIDQ1675048

Simone Warzel, Vincent Beaud

Publication date: 26 October 2017

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

Full work available at URL: https://arxiv.org/abs/1703.02465

zbMATH Keywords

XXZ spin chainfractional momentsFock-Spacehard-core particles

Mathematics Subject Classification ID

Disordered systems (random Ising models, random Schrödinger operators, etc.) in equilibrium statistical mechanics (82B44) Statistical mechanics of random media, disordered materials (including liquid crystals and spin glasses) (82D30) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) Bergman spaces and Fock spaces (30H20)

Related Items (21)

Decay of complex-time determinantal and Pfaffian correlation functionals in lattices ⋮ Droplet states in quantum XXZ spin systems on general graphs ⋮ Manifestations of dynamical localization in the disordered XXZ spin chain ⋮ Slow propagation in some disordered quantum spin chains ⋮ Localization and IDS regularity in the disordered Hubbard model within Hartree-Fock theory ⋮ Lower bound to the entanglement entropy of the XXZ spin ring ⋮ On the localization regime of certain random operators within Hartree–Fock theory ⋮ On the regime of localized excitations for disordered oscillator systems ⋮ Dynamical evolution of entanglement in disordered oscillator systems ⋮ Entanglement entropy bounds for droplet states of the XXZ model on the strip ⋮ A Schrödinger operator approach to higher spin XXZ systems on general graphs ⋮ Aspects of the mathematical theory of disordered quantum spin chains ⋮ Localization in the disordered Holstein model ⋮ Many-body localization in the droplet spectrum of the random XXZ quantum spin chain ⋮ Entanglement entropy bounds in the higher spin XXZ chain ⋮ Towards localization in long-range continuous interactive Anderson models ⋮ Correlations in disordered quantum harmonic oscillator systems: The effects of excitations and quantum quenches ⋮ Interacting fermions with quasi-random disorder ⋮ Entanglement bounds in the XXZ quantum spin chain ⋮ Bounds on the entanglement entropy of droplet states in the XXZ spin chain ⋮ Vanishing of drude weight in interacting fermions on \(\mathbb{Z}^d\) with quasi-periodic disorder

Cites Work

• Unnamed Item
• Unnamed Item
• Entanglement dynamics of disordered quantum XY chains
• On many-body localization for quantum spin chains
• Decay of determinantal and Pfaffian correlation functionals in one-dimensional lattices
• Multi-scale analysis for random quantum systems with interaction
• Dynamical localization in disordered quantum spin systems
• Localization in interacting fermionic chains with quasi-random disorder
• Localization in the ground-state of the one-dimensional x-y model with a random transverse field
• Droplet excitations for the spin-\(1/2\) \(XXZ\) chain with kink boundary conditions
• Multi-particle Anderson localisation: Induction on the number of particles
• Localization bounds for multiparticle systems
• Anderson localisation for infinitely many interacting particles in Hartree-Fock theory
• Many-body localization in the droplet spectrum of the random XXZ quantum spin chain
• Metal--insulator transition in a weakly interacting many-electron system with localized single-particle states
• The Infinite XXZ Quantum Spin Chain Revisited: Structure of Low Lying Spectral Bands and Gaps
• Localization bounds for an electron gas
• Asymptotic localization in the Bose-Hubbard model
• LOCALIZATION AT WEAK DISORDER: SOME ELEMENTARY BOUNDS
• Local integrals of motion in many‐body localized systems
• Localization properties of the disordered XY spin chain
• Droplet states in the \(XXZ\) Heisenberg chain.

This page was built for publication: Low-energy Fock-space localization for attractive hard-core particles in disorder