78 citations · 283 across the 11 of their papers we have counts for
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Gap Estimation by means of Hyperbolic Deformation
Hiroshi Ueda, Hiroki Nakano, Koichi Kusakabe +1
We present a way of numerical gap estimation applicable for one-dimensional infinite uniform quantum systems. Using the density matrix renormalization group method for a non-unifor…
Hyperbolic Deformation on Quantum Lattice Hamiltonians
Hiroshi Ueda, Tomotoshi Nishino
A group of non-uniform quantum lattice Hamiltonians in one dimension is introduced, which is related to the hyperbolic -dimensional space. The Hamiltonians contain only near…
Tricritical point of J1-J2 Ising model on hyperbolic lattice
R. Krcmar, T. Iharagi, A. Gendiar +1
A ferromagnetic-paramagnetic phase transition of the two-dimensional frustrated Ising model on a hyperbolic lattice is investigated by use of the corner transfer matrix renormaliza…
Ising model on hyperbolic lattice studied by corner transfer matrix renormalization group method
Roman Krcmar, Andrej Gendiar, Kouji Ueda +1
We study two-dimensional ferromagnetic Ising model on a series of regular lattices, which are represented as the tessellation of polygons with p>=5 sides, such as pentagons (p=5),…
Phase transition of clock models on hyperbolic lattice studied by corner transfer matrix renormalization group method
Andrej Gendiar, Roman Krcmar, Kouiji Ueda +1
Two-dimensional ferromagnetic N-state clock models are studied on a hyperbolic lattice represented by tessellation of pentagons. The lattice lies on the hyperbolic plane with a con…