4 papers
Computational complexity of spin-glass three-dimensional (3D) Ising model
Zhidong Zhang
In this work, the computational complexity of a spin-glass three-dimensional (3D) Ising model (for the lattice size N = lmn, where l, m, n are the numbers of lattice points along t…
Mapping between Spin-Glass Three-Dimensional (3D) Ising Model and Boolean Satisfiability Problem
Zhidong Zhang
The common feature for a nontrivial hard problem is the existence of nontrivial topological structures, non-planarity graphs, nonlocalities, or long-range spin entanglements in a m…
Topological Quantum Statistical Mechanics and Topological Quantum Field Theories
Zhidong Zhang
In this work, we first focus on the mathematical structure of the three-dimensional (3D) Ising model. In the Clifford algebraic representation, many internal factors exist in the t…
Exact solution of two-dimensional (2D) Ising model with a transverse field: a low-dimensional quantum spin system
Zhidong Zhang
The exact solution of ferromagnetic two-dimensional (2D) Ising model with a transverse field, which can be used to describe the critical phenomena in low-dimensional quantum spin s…