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arXiv · 0805.1812

Two-particle states in the Hubbard model

Manuel Valiente·David Petrosyan
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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.

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Manuel Valiente, David Petrosyan. 2008-06-18. Two-particle states in the Hubbard model. https://doi.org/10.1088/0953-4075%2F41%2F16%2F161002

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