Quantum deformations of the one-dimensional Hubbard model

N Beisert, P Koroteev - Journal of Physics A: Mathematical and …, 2008 - iopscience.iop.org
The centrally extended superalgebra was shown to play an important role for the integrable
structures of the one-dimensional Hubbard model and of the planar AdS/CFT …

The algebraic Bethe ansatz for rational braid-monoid lattice models

MJ Martins, PB Ramos - Nuclear Physics B, 1997 - Elsevier
In this paper we study isotropic integrable systems based on the braid-monoid algebra.
These systems constitute a large family of rational multistate vertex models and are realized …

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 …

Integrable open-boundary conditions for the q-deformed supersymmetric U model of strongly correlated electrons

AJ Bracken, XY Ge, YZ Zhang, HQ Zhou - Nuclear Physics B, 1998 - Elsevier
A general graded reflection equation algebra is proposed and the corresponding boundary
quantum inverse scattering method is formulated. The formalism is applicable to all …

Bond-located ordering in the one-dimensional Penson-Kolb-Hubbard model

GI Japaridze, E Müller-Hartmann - Journal of Physics …, 1997 - iopscience.iop.org
In this paper we study the ground-state phase diagram of the one-dimensional half-filled
repulsive (U> 0) Hubbard model supplemented with the pair-hop** interaction (W)(the …

Algebraic Bethe ansatz for gl (2, 1) invariant 36-vertex models

MP Pfannmüller, H Frahm - Nuclear Physics B, 1996 - Elsevier
Algebraic Bethe ansatz for gl(2, 1) invariant 36-vertex models Page 1 ELSEVIER Nuclear
Physics B 479 [FS] (1996) 575-593 NUCLEAR PHYSICS B [FS] Algebraic Bethe ansatz for gl(2 …

Multiple actions of the monodromy matrix in gl (2| 1)-invariant integrable models

A Hutsalyuk, A Liashyk, SZ Pakuliak, E Ragoucy… - … and Geometry: Methods …, 2016 - emis.de
Abstract We study $\mathfrak {gl}(2| 1) $ symmetric integrable models solvable by the nested
algebraic Bethe ansatz. Using explicit formulas for the Bethe vectors we derive the actions of …

One-parameter family of an integrable spl (2| 1) vertex model: Algebraic Bethe ansatz and ground state structure

PB Ramos, MJ Martins - Nuclear Physics B, 1996 - Elsevier
We formulate in terms of the quantum inverse scattering method the exact solution of a spl
(2| 1) invariant vertex model recently introduced in the literature. The corresponding transfer …

Integrable electron model with correlated hop** and quantum supersymmetry

MD Gould, KE Hibberd, JR Links, YZ Zhang - Physics Letters A, 1996 - Elsevier
We give the q-deformed analogue of a recently introduced electron model which
generalizes the Hubbard model with additional correlated hop** terms and electron pair …

Hubbard–Shastry lattice models

S Frolov, E Quinn - Journal of Physics A: Mathematical and …, 2012 - iopscience.iop.org
We consider two lattice models for strongly correlated electrons which are exactly solvable
in one dimension. Along with the Hubbard model and the $\mathfrak {su}(2| 2) $ spin chain …