84 citations · 622 across the 37 of their papers we have counts for
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The spectrum properties of an integrable invariant vertex model
M. J. Martins
This paper is concerned with the study of properties of the exact solution of the fundamental integrable vertex model. The model -matrix and respective spin chain are pres…
Integrability of the spin-1/2 fermions with charge pairing and Hubbard interaction
M. J. Martins
In this paper we study the exact solution of a one-dimensional model of spin- electrons composed by a nearest-neighbor triplet pairing term and the on-site Hubbard int…
Integrability of the odd eight-vertex model with symmetric weights
M. J. Martins
In this paper we investigate the integrability properties of a two-state vertex model on the square lattice whose microstates at a vertex has always an odd number of incoming or ou…
The symmetric six-vertex model and the Segre cubic threefold
M. J. Martins
In this paper we investigate the mathematical properties of the integrability of the symmetric six-vertex model towards the view of Algebraic Geometry. We show that the algebraic v…
Integrable three-state vertex models with weights lying on genus five curves
M. J. Martins
We investigate the Yang-Baxter algebra for invariant three-state vertex models whose Boltzmann weights configurations break explicitly the parity-time reversal symm…
The Yang-Baxter equation for PT invariant nineteen vertex models
R. A. Pimenta, M. J. Martins
We study the solutions of the Yang-Baxter equation associated to nineteen vertex models invariant by the parity-time symmetry from the perspective of algebraic geometry. We determi…