469 citations · 3k across the 50 of their papers we have counts for
51 papers
Quantum Dilogarithms and New Integrable Lattice Models in Three Dimensions
Vladimir V. Bazhanov, Rinat M. Kashaev, Vladimir V. Mangazeev +1
In this paper we introduce a new class of integrable 3D lattice models, possessing continuous families of commuting layer-to-layer transfer matrices. Algebraically, this commutativ…
A distant descendant of the six-vertex model
Vladimir V. Bazhanov, Sergey M. Sergeev
In this paper we present a new solution of the star-triangle relation having positive Boltzmann weights. The solution defines an exactly solvable two-dimensional Ising-type (edge i…
Corner Transfer Matrix Approach to the Yang-Lee Singularity in the 2D Ising Model in a magnetic field
Vladimir V. Mangazeev, Bryte Hagan, Vladimir V. Bazhanov
We study the 2D Ising model in a complex magnetic field in the vicinity of the Yang-Lee edge singularity. By using Baxter's variational corner transfer matrix method combined with…
An Ising-type formulation of the six-vertex model
Vladimir V. Bazhanov, Sergey M. Sergeev
We show that the celebrated six-vertex model of statistical mechanics (along with its multistate generalizations) can be reformulated as an Ising-type model with only a two-spin in…
Some Algebraic Aspects of the Inhomogeneous Six-Vertex Model
Vladimir V. Bazhanov, Gleb A. Kotousov, Sergii M. Koval +1
The inhomogeneous six-vertex model is a 2 multiparametric integrable statistical system. In the scaling limit it is expected to cover different classes of critical behaviour whi…
Scaling limit of the invariant inhomogeneous six-vertex model
Vladimir V. Bazhanov, Gleb A. Kotousov, Sergii M. Koval +1
The work contains a detailed study of the scaling limit of a certain critical, integrable inhomogeneous six-vertex model subject to twisted boundary conditions. It is based on a nu…