Bethe ansatz solvable multi-chain quantum systems

AA Zvyagin - Journal of Physics A: Mathematical and General, 2001 - iopscience.iop.org
In this article we review recent developments in the one-dimensional Bethe ansatz solvable
multi-chain quantum models. The algebraic version of the Bethe ansatz (the quantum …

[图书][B] Finite size effects in correlated electron models: exact results

A Zvyagin - 2005 - books.google.com
The book presents exact results for one-dimensional models (including quantum spin
models) of strongly correlated electrons in a comprehensive and concise manner. It …

Continuum limit of the integrable sl (2/1) 3–3 superspin chain

FHL Essler, H Frahm, H Saleur - Nuclear Physics B, 2005 - Elsevier
By a combination of analytical and numerical techniques, we analyze the continuum limit of
the integrable 3⊗ 3¯⊗ 3⊗ 3¯⋯ sl (2/1) superspin chain. We discover profoundly new …

Algebraic Bethe ansatz for the one-dimensional Hubbard model with open boundaries

XW Guan - Journal of Physics A: Mathematical and General, 2000 - iopscience.iop.org
Algebraic Bethe ansatz for the one-dimensional Hubbard model with open boundaries
Page 1 Journal of Physics A: Mathematical and General Algebraic Bethe ansatz for the one-dimensional …

Algebraic Bethe ansatz for the gl (1| 2) generalized model and Lieb–Wu equations

F Göhmann - Nuclear Physics B, 2002 - Elsevier
We solve the gl (1| 2) generalized model by means of the algebraic Bethe ansatz. The
resulting eigenvalue of the transfer matrix and the Bethe ansatz equations depend on three …

Integrable model of bosons in a four-well ring with anisotropic tunneling

AP Tonel, LH Ymai, A Foerster… - Journal of Physics A …, 2015 - iopscience.iop.org
We introduce an integrable, four-well ring model for bosons where the tunneling couplings
between nearest-neighbour wells are not restricted to be equal. We show how the model …

Universal R-matrix as integral operator

S Derkachov, D Karakhanyan, R Kirschner - Nuclear Physics B, 2001 - Elsevier
We derive the integral operator form for the general rational solution of the Yang–Baxter
equation with sℓ (2| 1) symmetry. Considering the defining relations for the kernel of the R …

Nested Bethe ansatz for Perk–Schultz model with open boundary conditions

GL Li, RH Yue, BY Hou - Nuclear Physics B, 2000 - Elsevier
By using the algebraic Bethe ansatz, we find the exact solution of Perk–Schultz model with
general open boundary conditions. The Bethe ansatz equation and the eigenvalue of the …

The algebraic Bethe ansatz for the Izergin–Korepin model with open boundary conditions

GL Li, KJ Shi, RH Yue - Nuclear Physics B, 2003 - Elsevier
We present the procedure of exactly solving the Izergin–Korepin model with open boundary
conditions by using the algebraic Bethe ansatz, which include constructing the multi-particle …

Heisenberg spin chains based on sℓ (2| 1) symmetry

S Derkachov, D Karakhanyan, R Kirschner - Nuclear Physics B, 2000 - Elsevier
We find the general rational solution of the Yang–Baxter equation with symmetry sℓ (2| 1).
The R-matrix obtained acts on the tensor product of arbitrary representations of the …