12 citations · 12 across the 1 of their papers we have counts for
3 papers
cond-mat.stat-mech2004★ 12 cited
Construction of a matrix product stationary state from solutions of finite size system
Yasuhiro Hieida, Tomohiro Sasamoto
Stationary states of stochastic models, which have states per site, in matrix product form are considered. First we give a necessary condition for the existence of a finite …
cond-mat.stat-mech1998
Universal Asymptotic Eigenvalue Distribution of Density Matrices and the Corner Transfer Matrices in the Thermodynamic Limit
Kouichi Okunishi, Yasuhiro Hieida, Yasuhiro Akutsu
We study the asymptotic behavior of the eigenvalue distribution of the Baxter's corner transfer matrix (CTM) and the density matrix (DM) in the White's density-matrix renormalizati…
cond-mat.stat-mech1998
Delta-Function Bose Gas Picture of S=1 Antiferromagnetic Quantum Spin Chains Near Critical Fields
Kouichi Okunishi, Yasuhiro Hieida, Yasuhiro Akutsu
We study the zero-temperature magnetization curve (M-H curve) of the S=1 bilinear-biquadratic spin chain, whose Hamiltonian is given by $H=\sum_{i} S_i S_{i+1}+β(S_iS_{i+1})^2 with…