3 citations · 4 across the 7 of their papers we have counts for
8 papers
Inhomogeneous Ising Model on 2D kagomé Lattice: Fermionic field approach
Shahane A. Khachatryan, Zhidong Zhang, Ara G. Sedrakyan
We investigate the two-dimensional inhomogeneous Ising model (2DIM) on the kagom'e lattice by mapping it onto a particular non-symmetric eight-vertex model and constructing the cor…
Exact solution of a two-dimensional (2D) Ising model with the next nearest interactions
Zhidong Zhang
The exact solution of a two-dimensional (2D) Ising model with the next nearest interactions at zero magnetic field is derived. At first, the transfer matrices are analyzed in three…
Exact solution of three-dimensional (3D) spinless fermions
Zhidong Zhang
The three-dimensional (3D) Ising model is mapped into a 3D spinless fermionic model by the Jordan-Wigner transformation. The exact solution of the 3D model for spinless fermions is…
Universality of critical behaviors in the three-dimensional (3D) Ising magnets
Zhidong Zhang
This article gives a brief overview on recent advances in experiments of critical exponents in three groups of magnetic materials. Revisiting experimental data verifies that a univ…
Exact solution of the two-dimensional (2D) Ising model at an external magnetic field
Zhidong Zhang
The exact solution of the two-dimensional (2D) Ising model at an external magnetic field is derived by a modified Clifford algebraic approach. At first, the transfer matrices are a…
Mathematical basis, phase transitions and singularities of (3+1)-dimensional phi4 scalar field model
Zhidong Zhang
The lambda phi4 scalar field model can be applied to interpret pion-pion scattering and properties of hadrons. In this work, the mathematical basis, phase transitions and singulari…
Relationship between spin-glass three-dimensional (3D) Ising model and traveling salesman problems
Zhidong Zhang
In this work, the relationship between a spin-glass three-dimensional (3D) Ising model with the lattice size N = mnl and the traveling salesman problem (TSP) in a 3D lattice is stu…
Exact solution of the three-dimensional (3D) Z2 lattice gauge theory
Zhidong Zhang
In this work, the origin of nonlocal effects is inspected and the contributions of nontrivial topological structures to physical properties are investigated in details for both the…