Interacting Electrons in a Random Medium: A Simple One-Dimensional Model

DOI10.1007/978-3-030-56409-4_5zbMath1483.81173arXiv1408.5839OpenAlexW1675960032MaRDI QIDQ3384287

Frédéric Klopp, Nikolaj A. Veniaminov

Publication date: 15 December 2021

Published in: Frontiers in Analysis and Probability (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1408.5839

zbMATH Keywords

thermodynamic limitrandom Schrödinger operatorsinteracting electrons

Mathematics Subject Classification ID

Interacting particle systems in time-dependent statistical mechanics (82C22) 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) Electromagnetic interaction; quantum electrodynamics (81V10) Fermionic systems in quantum theory (81V74)

Related Items (1)

Thermodynamic limit of the pieces' model

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Spectral statistics for random Schrödinger operators in the localized regime
• Multi-particle Anderson localisation: Induction on the number of particles
• Localization bounds for multiparticle systems
• On the basic states of one-dimensional disordered structures
• Local fluctuation of the spectrum of a multidimensional Anderson tight binding model
• The existence of the thermodynamic limit for the system of interacting quantum particles in random media
• Enhanced Wegner and Minami estimates and eigenvalue statistics of random Anderson models at spectral edges
• Existence of the thermodynamic limit for disordered quantum Coulomb systems
• A Wegner estimate for multi-particle random Hamiltonians
• An Invitation to Random Schroedinger operators
• Random Fragmentation and Coagulation Processes

This page was built for publication: Interacting Electrons in a Random Medium: A Simple One-Dimensional Model