Exact solution of the one-dimensional spin- $\frac{\mathsf 3}{\mathsf 2}$ Ising model in magnetic field
نویسندگان
چکیده
منابع مشابه
Spin dynamics of a one - dimensional spin - 1 2 fully anisotropic Ising - like antiferromagnet in a transverse magnetic field
We consider the one-dimensional Ising-like fully anisotropic S= 1 2 Heisenberg antiferromagnetic Hamiltonian and study the dynamics of domain wall excita-tions in the presence of transverse magnetic field h x. We obtain dynamical spin correlation functions along the magnetic field S xx (q, ω) and perpendicular to it S yy (q, ω). It is shown that the line shapes of S xx (q, ω) and S yy (q, ω) ar...
متن کاملExact solution of the spin - 1 / 2 Ising model on the Shastry - Sutherland ( orthogonal - dimer ) lattice ⋆
A star-triangle mapping transformation is used to establish an exact correspondence between the spin-1/2 Ising model on the Shastry-Sutherland (orthogonal-dimer) lattice and respectively, the spin-1/2 Ising model on a bathroom tile (4-8) lattice. Exact results for the critical temperature and spontaneous magnetization are obtained and compared with corresponding results on the regular Ising lat...
متن کاملExact Solution of a Triangular Ising Model in a Nonzero Magnetic Field 1
One outstanding unsolved problem in statistical mechanics is the closedform computation of the free energy of the two-dimensional Ising model in a nonzero magnetic field. In 1976 Verhagen (1~ considered one particular triangular Ising model, and obtained its solution along a certain trajectory in the parameter space. This solution, which was obtained through the consideration of a stochastic cr...
متن کاملAn Exact Solution to a Three Dimensional Ising Model
A high temperature expansion is employed to map some complex anisotropic nonhermitian three dimensional Ising models with algebraic long range interactions into a solvable two dimensional variant. Some solutions are presented. This framework further allows for some very simple general observations. It will be seen that the absence of a “phase interference” effect plays an important role in high...
متن کاملExact solution of the mixed spin-1/2 and spin-S Ising-Heisenberg diamond chain
The geometric frustration in a class of the mixed spin-1/2 and spin-S Ising-Heisenberg diamond chains is investigated by combining three exact analytical techniques: Kambe projection method, decoration-iteration transformation and transfer-matrix method. The ground state, the magnetization process and the specific heat as a function of the external magnetic field are particularly examined for d...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: The European Physical Journal B
سال: 2006
ISSN: 1434-6028,1434-6036
DOI: 10.1140/epjb/e2006-00177-x