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3.4k citations

Showing 2015 · cond-mat.stat-mechShow all

6 papers · 2 filters

cond-mat.stat-mech2015★ 18 cited

Phase diagram of truncated tetrahedral model

Roman Krcmar, Andrej Gendiar, Tomotoshi Nishino

Phase diagram of a discrete counterpart of the classical Heisenberg model, the truncated tetrahedral model, is analyzed on the square lattice, when the interaction is ferromagnetic…

cond-mat.stat-mech2015★ 6 cited

Counter-Ions Near a Charged Wall: Exact Results for Disc and Planar Geometries

Ladislav Šamaj

Macromolecules, when immersed in a polar solvent like water, become charged by a fixed surface charge density which is compensated by ``counter-ions'' moving out of the surface. Su…

cond-mat.stat-mech2015★ 9 cited

Free Energy Analysis of Spin Models on Hyperbolic Lattice Geometries

Marcel Serina, Jozef Genzor, Yoju Lee +1

We investigate relations between spatial properties of the free energy and the radius of Gaussian curvature of the underlying curved lattice geometries. For this purpose we derive…

cond-mat.stat-mech2015★ 21 cited

Analysis of quantum spin models on hyperbolic lattices and Bethe lattice

Michal Daniska, Andrej Gendiar

The quantum XY, Heisenberg, and transverse field Ising models on hyperbolic lattices are studied by means of the Tensor Product Variational Formulation algorithm. The lattices are…

cond-mat.stat-mech2015★ 26 cited

Phase Transition of the Ising Model on Fractal Lattice

Jozef Genzor, Andrej Gendiar, Tomotoshi Nishino

Phase transition of the Ising model is investigated on a planar lattice that has a fractal structure. On the lattice, the number of bonds that cross the border of a finite area is…

cond-mat.stat-mech2015★ 9 cited

Tensor product variational formulation applied to pentagonal lattice

Michal Daniška, Andrej Gendiar

The uniform two-dimensional variational tensor product state is applied to the transverse-field Ising, XY, and Heisenberg models on a regular hyperbolic lattice surface. The lattic…