49 research outputs found
Reentrant phase transitions of higher-dimensional AdS black holes in dRGT massive gravity
We study the criticality and phase transition in the extended phase
space of anti-de Sitter (AdS) black holes in higher-dimensional de Rham,
Gabadadze and Tolley (dRGT) massive gravity, treating the cosmological constant
as pressure and the corresponding conjugate quantity is interpreted as
thermodynamic volume. Besides the usual small/large black hole phase
transitions, the interesting thermodynamic phenomena of reentrant phase
transitions (RPTs) are observed for black holes in all -dimensional
spacetime when the coupling coefficients of massive potential satisfy
some certain conditions.Comment: 14 pages, several references are added, v2: published in EPJ
Bethe Ansatz for the Spin-1 XXX Chain with Two Impurities
By using algebraic Bethe ansatz method, we give the Hamitonian of the spin-1
XXX chain associated with with two boundary impurities.Comment: 8 pages, latex, no figures, to be appeared in Commun. Theor. Phy
The Exact Solution of the SU(3) Hubbard Model
The Bethe ansatz equations of the 1-D SU(3) Hubbard model are systematically
derived by diagonalizing the inhomogeneous transfer matrix of the XXX model. We
first derive the scattering matrix of the SU(3) Hubbard model through the
coordinate Bethe ansatz method. Then, with the help quantum inverse scattering
method we solve the nested transfer matrix and give the eigenvalues, the
eigenvectors and the Bethe ansatz equations. Finally, we obtain the exactly
analytic solution for the ground state.Comment: 19 pages, latex, no figure
Analytic Bethe Ansatz for 1-D Hubbard model and twisted coupled XY model
We found the eigenvalues of the transfer matrices for the 1-D Hubbard model
and for the coupled XY model with twisted boundary condition by using the
analytic Bethe Ansatz method. Under a particular condition the two models have
the same Bethe Ansatz equations. We have also proved that the periodic 1-D
Hubbard model is exactly equal to the coupled XY model with nontrivial twisted
boundary condition at the level of hamiltonians and transfer matrices.Comment: 22 pages, latex, no figure
The Dynamical Yang-Baxter Relation and the Minimal Representation of the Elliptic Quantum Group
In this paper, we give the general forms of the minimal matrix (the
elements of the -matrix are numbers) associated with the Boltzmann
weights of the interaction-round-a-face (IRF) model and the minimal
representation of the series elliptic quantum group given by Felder
and Varchenko. The explicit dependence of elements of -matrices on spectral
parameter are given. They are of five different forms (A(1-4) and B). The
algebra for the coefficients (which do not depend on ) are given. The
algebra of form A is proved to be trivial, while that of form B obey
Yang-Baxter equation (YBE). We also give the PBW base and the centers for the
algebra of form B.Comment: 23 page