Bethe Ansatz solution of a new class of Hubbard-type models
A. Osterloh, L. Amico, and U. Eckern
TL;DR
This paper introduces a new class of one-dimensional particles with generalized exchange statistics and solves a Hubbard-type model exactly using the Coordinate Bethe Ansatz, revealing a self-generated magnetic field effect.
Contribution
It presents an exact solution for a Hubbard-type model with particles exhibiting deformed exchange statistics, linking statistics deformation to a self-induced magnetic field.
Findings
Exact Bethe Ansatz solution obtained
Deformed statistics equivalent to self-generated magnetic field
Model extends understanding of Hubbard-type systems
Abstract
We define one-dimensional particles with generalized exchange statistics. The exact solution of a Hubbard-type Hamiltonian constructed with such particles is achieved using the Coordinate Bethe Ansatz. The chosen deformation of the statistics is equivalent to the presence of a magnetic field produced by the particles themselves, which is present also in a ``free gas'' of these particles.
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