Two-particle states in the Hubbard model
Quantum Physics
2008-08-19 v2 Mathematical Physics
math.MP
Abstract
We consider a pair of bosonic particles in a one-dimensional tight-binding periodic potential described by the Hubbard model with attractive or repulsive on-site interaction. We derive explicit analytic expressions for the two-particle states, which can be classified as (i) scattering states of asymptotically free particles and (ii) interaction-bound dimer states. Our results provide a very transparent framework to understand the properties of interacting pairs of particles in a lattice.
Cite
@article{arxiv.0805.1812,
title = {Two-particle states in the Hubbard model},
author = {Manuel Valiente and David Petrosyan},
journal= {arXiv preprint arXiv:0805.1812},
year = {2008}
}
Comments
3 pages, 1 figure