90 citations · 507 across the 31 of their papers we have counts for
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Theorems on ground-state phase transitions in Kohn-Sham models given by the Coulomb density functional
Koichi Kusakabe, Isao Maruyama
Some theorems on derivatives of the Coulomb density functional with respect to the coupling constant are given. Consider an electron density given by a ground…
Uniform Matrix Product State in the Thermodynamic Limit
Hiroshi Ueda, Isao Maruyama, Kouichi Okunishi
We study a uniform matrix product state as a variational state for classical and quantum spin chains in the thermodynamic limit. Under a careful treatment of the translational symm…
Topological Invariants for Polyacetylene, Kagome and Pyrochlore lattices
Y. Hatsugai, I. Maruyama
Adiabatic invariants by quantized Berry phases are defined for gapped electronic systems in -dimensions (). This series includes Polyacetylene, Kagome and Pyrochlor…
Topological quantum phase transition in the BEC-BCS crossover phenomena
Mitsuhiro Arikawa, Isao Maruyama, Yasuhiro Hatsugai
A crossover between the Bose Einstein condensation (BEC) and BCS superconducting state is described topologically in the chiral symmetric fermion system with attractive interaction…
Continuous Matrix Product Ansatz for the One-Dimensional Bose Gas with Point Interaction
Isao Maruyama, Hosho Katsura
We study a matrix product representation of the Bethe ansatz state for the Lieb-Linger model describing the one-dimensional Bose gas with delta-function interaction. We first const…