Eigenfunctions in a two-particle Anderson tight binding model

Abstract

We establish the phenomenon of Anderson localisation for a quantum two-particle system on a d-dimensional lattice with short-range interaction and in presence of an IID external potential with sufficiently regular marginal distribution.

References in corpus (2)

• Finite-Volume Fractional-Moment Criteria for Anderson Localization
• Wegner bounds for a two-particle tight binding model

Cited by in corpus (15)

• On Many-Body Localization for Quantum Spin Chains
• Localization Bounds for Multiparticle Systems
• Dynamical Localization in Disordered Quantum Spin Systems
• Multi-Particle Anderson Localisation: Induction on the Number of Particles
• Disorder-assisted error correction in Majorana chains
• The bootstrap multiscale analysis for the multi-particle Anderson model
• Quantum harmonic oscillator systems with disorder
• Multiparticle localization for disordered systems on continuous space via the fractional moment method
• A uniform area law for the entanglement of eigenstates in the disordered XY chain
• On two-particle Anderson localization at low energies
• Characterization of the metal-insulator transport transition for the two-particle Anderson model
• Localization and IDS Regularity in the Disordered Hubbard Model within Hartree-Fock Theory
• An eigensystem approach to Anderson localization for multi-particle systems
• Decay of Complex-time Determinantal and Pfaffian\ Correlation Functionals in Lattices
• Scaling Theory of Few-Particle Delocalization