arXiv:2404.06929 · Nuclear Physics B

Exact solution of a two-parameter extended Bariev model

Mingchen Zheng, Xin Zhang, Junpeng Cao, Wen‐Li Yang, Yupeng Wang

Published Aug 7, 2024• 1 citation

Abstract

An exactly solvable strongly correlated electron model with two independent parameters is constructed in the frame of the quantum inverse scattering method, which can be seen as a generalization of the Bariev model. Through the Bethe ansatz method, a set of Bethe ansatz equations is derived. In the thermodynamic limit, to study the ground state of the model, we obtain the integral equations for the density of Bethe roots. Numerical validation is done to confirm the accuracy of our analytic results.

DOI: 10.1016/j.nuclphysb.2024.116652

Related papers

Exact solution of the Bariev model for correlated hopping with hard-core repulsion

Rui‐Hong Yue, P. Schlottmann

We present the exact solution of a generalized Bariev model for correlated hopping with a finite-range hard-core repulsion in one dimension. The Bethe ansatz equations and the thermodynamics are derived and analyzed for repulsive and attractive potential. The ground state, the low-energy excitations, the high-temperature limit, and the weak- and strong-coupling limits are discussed as functions of the range of the hard-core exclusion and the density of electrons.

Physical review. B, Condensed matterAug 19, 20028 citations

EXACT SOLUTION OF AN ELECTRONIC MODEL OF SUPERCONDUCTIVITY

Fabian H. L. Eßler, V. E. Korepin, Kareljan Schoutens

We study the exact solution of a superconducting model of strongly correlated electrons in 1+1 dimensions. We explain the method of solution and explicitly derive the fundamental Bethe equations that determine the physical properties of the model in the thermodynamic limit. We also give explicit expressions for the conserved quantum integrals of motion in the model and prove a lowest weight theorem for the Bethe Ansatz states.

arXiv:cond-mat/9211001International Journal of Modern Physics BOct 20, 199461 citations

Exact Solution of a New Class of Bariev Model

Like Cao, Ke San-Min, Rui‐Hong Yue

The exact solution of a new type of Bariev Hamiltonian constructed with particles which obeys generalized exchange statistics in one dimension is studied in the framework of coordinate Bethe ansatz method. The energy spectrum and the related Bethe ansatz equations are obtained.

Communications in Theoretical PhysicsMar 1, 20070 citations

Integrable lattice models for strongly correlated electrons

Eoin Quinn

This thesis is dedicated to the study of a new family of integrable lattice models for strongly correlated electrons, namely the Hubbard- Shastry models. The techniques of exactly solvable models, and in particular those of integrable systems, are used. The models are constructed through the quantum inverse scattering method and are studied in one dimension through their Bethe ansatz solution.

Jan 1, 20130 citations

Bethe ansatz solutions of the 1D extended Hubbard-model

Haiyang Hou, Pei Sun, Yi Qiao +3 more

Abstract We construct an integrable 1D extended Hubbard model within the framework of the quantum inverse scattering method. With the help of the nested algebraic Bethe ansatz method, the eigenvalue Hamiltonian problem is solved by a set of Bethe ansatz equations, whose solutions are supposed to give the correct energy spectrum.

Communications in Theoretical PhysicsFeb 22, 20241 citation

Solution of a one-dimensional boson - fermion model

Yupeng Wang, Fu‐Cho Pu

A one-dimensional boson - fermion model is considered. It is shown that the model is exactly solvable and the general Bethe eigenstates are constructed. On the basis of the Bethe ansatz equations, the ground state and the thermodynamics are also given in some closed integral equations.

Journal of Physics A Mathematical and GeneralSep 7, 19960 citations