No enhancement of the localization length for two interacting particles in a random potential
Rudolf A. R"omer, Michael Schreiber
Abstract
We study two interacting particles in a random potential chain by means of the transfer matrix method. The dependence of the two-particle localization length λ2 on disorder and interaction strength is investigated. Our results demonstrate that the recently proposed enhancement of λ2 as compared to the results for single particles is entirely due to the finite size of the systems considered. This is shown for a Hubbard-like onsite interaction and also a long-range interaction.
Create a lesson
Related papers
Low-temperature magnetism and spin dynamics in the disordered triangular-lattice Yb3+ compound LiCaYb5(BO3)6
Monika Jawale, Saikat Nandi, Prashanta K. Mukharjee et al.
Neural Renormalization Group Flow for Percolation
Anaclara Alvez, Luca Camagna, Sergio Chibbaro et al.
Dynamical phase selection controls compute scaling in looped transformers
Gunn Kim
Semi-localized ground state in a 1D system with long-range hopping
Murod S. Bahovadinov, Faridun N. Jalolov, Vladimir E. Kravtsov et al.
Defect states in three-dimensional diamond photonic band gap crystals
Julia Rocha, Bart A. van Tiggelen, Ad Lagendijk et al.
Disorder-induced conducting edges on Kagomé lattice
A. Chmeruk, D. Jones, L. Chioncel