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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…
cond-mat.stat-mech1998
Universality of the Tangential Shape Exponent at the Facet Edge of a Crystal
Y. Akutsu, N. Akutsu, T. Yamamoto
Below the roughening temperature, the equilibrium crystal shape (ECS) is composed of both facets and a smoothly curved surface. As for the ``normal'' profile (perpendicular to the…