152 citations · 787 across the 30 of their papers we have counts for
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Tensor Product Variational Formulation for Quantum Systems
Y. Nishio, N. Maeshima, A. Gendiar +1
We consider a variational problem for the two-dimensional (2D) Heisenberg and XY models, using a trial state which is constructed as a 2D product of local weights. Variational ener…
Stable Optimization of a Tensor Product Variational State
Andrej Gendiar, Nobuya Maeshima, Tomotoshi Nishino
We consider a variational problem for three-dimensional (3D) classical lattice models. We construct the trial state as a two-dimensional product of local variational weights that c…
Spinon excitation and Möbius boundary condition in S=1/2 antiferromagnetic Heisenberg spin ladder with zigzag structure
Kouichi Okunishi, Nobuya Maeshima
We investigate the low-lying excitation of the antiferromagnetic zigzag spin ladder with Möbius boundary condition. Using the Lanczos and Householder diagonalization methods, we ca…
Vertical Density Matrix Algorithm: A Higher-Dimensional Numerical Renormalization Scheme based on the Tensor Product State Ansatz
Nobuya Maeshima, Yasuhiro Hieida, Yasuhiro Akutsu +2
We present a new algorithm to calculate the thermodynamic quantities of three-dimensional (3D) classical statistical systems, based on the ideas of the tensor product state and the…
Two-Dimensional Tensor Product Variational Formulation
Tomotoshi Nishino, Yasuhiro Hieida, Kouichi Okunishi +3
We propose a numerical self-consistent method for 3D classical lattice models, which optimizes the variational state written as two-dimensional product of tensors. The variational…
Antiferromagnetic Zigzag Spin Chain in Magnetic Fields at Finite Temperatures
Nobuya Maeshima, Kouichi Okunishi
We study thermodynamic behaviors of the antiferromagnetic zigzag spin chain in magnetic fields, using the density-matrix renormalization group method for the quantum transfer matri…