63 citations · 444 across the 13 of their papers we have counts for
13 papers
On Properties of the Ising Model for Complex Energy/Temperature and Magnetic Field
Victor Matveev, Robert Shrock
We study some properties of the Ising model in the plane of the complex (energy/temperature)-dependent variable , where , for nonzero external magnetic field…
Complex-Temperature Phase Diagram of the 1D Clock Model and its Connection with Higher-Dimensional Models
Victor Matveev, Robert Shrock
We determine the exact complex-temperature (CT) phase diagram of the 1D clock model. This is of interest because it is the first exactly solved system with a CT phase boundar…
Some New Results on Complex-Temperature Singularities in Potts Models on the Square Lattice
Victor Matveev, Robert Shrock
We report some new results on the complex-temperature (CT) singularities of -state Potts models on the square lattice. We concentrate on the problematic region (wher…
Some New Results on Yang-Lee Zeros of the Ising Model Partition Function
Victor Matveev, Robert Shrock
We prove that for the Ising model on a lattice of dimensionality , the zeros of the partition function in the complex plane (where ) lie on the unit ci…
Complex-Temperature Properties of the 2D Ising Model for Nonzero Magnetic Field
Victor Matveev, Robert Shrock
We study the complex-temperature phase diagram of the square-lattice Ising model for nonzero external magnetic field , i.e. for , where . We also…
A Connection Between Complex-Temperature Properties of the 1D and 2D Spin Ising Model
Victor Matveev, Robert Shrock
Although the physical properties of the 2D and 1D Ising models are quite different, we point out an interesting connection between their complex-temperature phase diagrams. We carr…
Zeros of the Partition Function for Higher--Spin 2D Ising Models
Victor Matveev, Robert Shrock
We present calculations of the complex-temperature zeros of the partition functions for 2D Ising models on the square lattice with spin , 3/2, and 2. These give insight into c…
Complex-Temperature Properties of the Ising Model on 2D Heteropolygonal Lattices
Victor Matveev, Robert Shrock
Using exact results, we determine the complex-temperature phase diagrams of the 2D Ising model on three regular heteropolygonal lattices, (kagomé), $(…
Complex-Temperature Properties of the 2D Ising Model with
Victor Matveev, Robert Shrock
We study the complex-temperature properties of a rare example of a statistical mechanical model which is exactly solvable in an external symmetry-breaking field, namely, the Ising…
Complex-Temperature Singularities in the Ising Model. III. Honeycomb Lattice
Victor Matveev, Robert Shrock
We study complex-temperature properties of the uniform and staggered susceptibilities and of the Ising model on the honeycomb lattice. From an analysis of low-tempera…
Complex-Temperature Singularities in the Ising Model. II. Triangular Lattice
V. Matveev, R. Shrock
We investigate complex-temperature singularities in the Ising model on the triangular lattice. Extending an earlier analysis of the low-temperature series expansions for the (zero-…
Complex-Temperature Singularities of the Susceptibility in the Ising Model. I. Square Lattice
V. Matveev, R. Shrock
We investigate the complex-temperature singularities of the susceptibility of the 2D Ising model on a square lattice. From an analysis of low-temperature series expansions, we find…
Numerical Study of Periodic Instanton Configurations in Two-dimensional Abelian Higgs Theory
Victor V. Matveev
Numerical minimization of the Euclidean action of the two-dimensional Abelian Higgs model is used to construct periodic instantons, the euclidean field configurations with two turn…