93 citations · 751 across the 37 of their papers we have counts for
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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…
Quantum geometry of 3-dimensional lattices
Vladimir V. Bazhanov, Vladimir V. Mangazeev, Sergey M. Sergeev
We study geometric consistency relations between angles on 3-dimensional (3D) circular quadrilateral lattices -- lattices whose faces are planar quadrilaterals inscribable into a c…
Faddeev-Volkov solution of the Yang-Baxter Equation and Discrete Conformal Symmetry
Vladimir V. Bazhanov, Vladimir V. Mangazeev, Sergey M. Sergeev
The Faddeev-Volkov solution of the star-triangle relation is connected with the modular double of the quantum group U_q(sl_2). It defines an Ising-type lattice model with positive…
Analytic theory of the eight-vertex model
Vladimir V. Bazhanov, Vladimir V. Mangazeev
We observe that the exactly solved eight-vertex solid-on-solid model contains an hitherto unnoticed arbitrary field parameter, similar to the horizontal field in the six-vertex mod…
The eight-vertex model and Painleve VI
Vladimir V Bazhanov, Vladimir V Mangazeev
In this letter we establish a connection of Picard-type elliptic solutions of Painleve VI equation with the special solutions of the non-stationary Lame equation. The latter appear…
Eight-vertex model and non-stationary Lame equation
Vladimir V. Bazhanov, Vladimir V. Mangazeev
We study the ground state eigenvalues of Baxter's Q-operator for the eight-vertex model in a special case when it describes the off-critical deformation of the six-vertex…