91 citations · 674 across the 41 of their papers we have counts for
4 papers · 1 filter
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…
Transverse Field Ising Model Under Hyperbolic Deformation
Hiroshi Ueda, Andrej Gendiar, Valentin Zauner +2
Ground state of the one-dimensional transverse field Ising model is investigated under the hyperbolic deformation, where the energy scale of j-th bond is proportional to the functi…
Scaling Relation for Excitation Energy Under Hyperbolic Deformation
Hiroshi Ueda, Hiroki Nakano, Koichi Kusakabe +1
We introduce a one-parameter deformation for one-dimensional (1D) quantum lattice models, the hyperbolic deformation, where the scale of the local energy is proportional to cosh la…
Phase Transition of the Ising model on a Hyperbolic Lattice
Takatsugu Iharagi, Andrej Gendiar, Hiroshi Ueda +1
The matrix product structure is considered on a regular lattice in the hyperbolic plane. The phase transition of the Ising model is observed on the hyperbolic lattice by m…