145 citations · 1.4k across the 82 of their papers we have counts for
9 papers · 1 filter
Integrability and exact spectrum of a pairing model for nucleons
J. Links, H. -Q. Zhou, M. D. Gould +1
A pairing model for nucleons, introduced by Richardson in 1966, which describes proton-neutron pairing as well as proton-proton and neutron-neutron pairing, is re-examined in the c…
Elliptic Gaudin models and elliptic KZ Equations
Mark D. Gould, Yao-Zhong Zhang, Shao-You Zhao
The Gaudin models based on the face-type elliptic quantum groups and the Gaudin models are studied. The Gaudin model Hamiltonians are constructed and are diagonalized by usin…
Exact solution at integrable coupling of a model for the Josephson effect between small metallic grains
J. Links, H. -Q. Zhou, R. H. McKenzie +1
A model is introduced for two reduced BCS systems which are coupled through the transfer of Cooper pairs between the systems. The model may thus be used in the analysis of the Jose…
Twisted Parafermions
Xiang-Mao Ding, Mark. D. Gould, Yao-Zhong Zhang
A new type of nonlocal currents (quasi-particles), which we call twisted parafermions, and its corresponding twisted -algebra are found. The system consists of one spin-1 bosoni…
Twisted Current Algebra: Free Field Representation and Screening Currents
Xiang-Mao Ding, Mark D. Gould, Yao-Zhong Zhang
Motivated by applications of twisted current algebras in description of the entropy of black hole, we investigate the simplest twisted current algebra $sl(3,{\bf C})^{(2)}_…
Superconducting correlations in metallic nanoparticles: exact solution of the BCS model by the algebraic Bethe ansatz
H. -Q. Zhou, J. Links, R. H. McKenzie +1
Superconducting pairing of electrons in nanoscale metallic particles with discrete energy levels and a fixed number of electrons is described by the reduced BCS model Hamiltonian.…
On the Construction of Integrable Gaudin Models with Boundaries
Mark D. Gould, Wen-Li Yang, Yao-Zhong Zhang +1
We propose a general method for constructing boundary integrable Gaudin models associated with (twisted) affine algebras , where is a simple Lie…
Algebraic Bethe Ansatz for Integrable Extended Hubbard Models Arising from Supersymmetric Group Solutions
Anthony J. Bracken, Xiang-Yu Ge, Mark D. Gould +2
Integrable extended Hubbard models arising from symmetric group solutions are examined in the framework of the graded Quantum Inverse Scattering Method. The Bethe ansatz equations…
Integrable open boundary conditions for the Bariev model of three coupled XY spin chains
A. Foerster, M. D. Gould, X. -W. Guan +2
The integrable open-boundary conditions for the Bariev model of three coupled one-dimensional XY spin chains are studied in the framework of the boundary quantum inverse scattering…