79 citations · 256 across the 19 of their papers we have counts for
19 papers
The free energy of the square lattice Ising model with interactions alternating in horizontal and vertical directions
Kazuhiko Minami
The free energy of the Ising model on the square lattice with alternating interactions in both horizontal and vertical directions is exactly derived. This model is distinct from th…
Conserved Charges of Series of Solvable Lattice Models
Kazuhiko Minami
An infinite number of solvable Hamiltonians, including the transverse Ising chain, the XY chain with an external field, the cluster model with next-nearest-neighbor x-x interaction…
The exact susceptibility of the spin-S transverse Ising chain with next-nearest-neighbor interactions
Kazuhiko Minami
The zero-field susceptibility of the spin-S transverse Ising chain with next-nearest-neighbor interactions is obtained exactly. The susceptibility is given in an explicit form for…
Onsager algebra and algebraic generalization of Jordan-Wigner transformation
Kazuhiko Minami
Recently, an algebraic generalization of the Jordan-Wigner transformation was introduced and applied to one- and two-dimensional systems. This transformation is composed of the int…
Geometric Criterion for Solvability of Lattice Spin Systems
Masahiro Ogura, Yukihisa Imamura, Naruhiko Kameyama +2
We present a simple criterion for solvability of lattice spin systems on the basis of the graph theory and the simplicial homology. The lattice systems satisfy algebras with graphi…
Exact solution of a cluster model with next-nearest-neighbor interaction
Yuji Yanagihara, Kazuhiko Minami
A one-dimensional cluster model with next-nearest-neighbor interactions and two additional composite interactions is solved; the free energy is obtained and a correlation function…