Zobrazeno 1 - 10
of 151
pro vyhledávání: '"Gendiar, Andrej"'
We propose a vertex representation of the tensor network (TN) in the anti-de Sitter space (AdS$_{2+0}$) that we model on a subset of hyperbolic lattices. The tensors form a network of regular $p$-sided polygons ($p>4$) with the coordination number fo
Externí odkaz:
http://arxiv.org/abs/2406.03426
Autor:
Polackova, Maria, Gendiar, Andrej
Publikováno v:
Physica A 624 (2023) 128907
The two-dimensional $q$-state clock models exhibit the Berezinskii-Kosterlitz-Thouless (BKT) transition for $q\geq5$ since they are a subset of the isotropic XY model. We examine the $6$-state clock model with an anisotropic deformation. Selecting th
Externí odkaz:
http://arxiv.org/abs/2207.09132
Publikováno v:
Phys. Rev. E 105 (2022) 054112
We study classical Ising spin-$\frac{1}{2}$ models on the 2D square lattice with ferromagnetic or antiferromagnetic nearest-neighbor interactions, under the effect of a pure imaginary magnetic field. The complex Boltzmann weights of spin configuratio
Externí odkaz:
http://arxiv.org/abs/2112.09536
Publikováno v:
J. Phys. Soc. Jpn. 91, 034001 (2022)
A variant of energy scale deformation is considered for the S = 1/2 antiferromagnetic Heisenberg model on polyhedra. The deformation is induced by the perturbations to the uniform Hamiltonian, whose coefficients are determined by the bond coordinates
Externí odkaz:
http://arxiv.org/abs/2109.10565
Publikováno v:
Phys. Rev. E 105, 024124 (2022)
We generalize a tensor-network algorithm to study thermodynamic properties of self-similar spin lattices constructed on a square-lattice frame with two types of couplings, $J_{1}^{}$ and $J_{2}^{}$, chosen to transform a regular square lattice ($J_{1
Externí odkaz:
http://arxiv.org/abs/2107.11406
Thermodynamic properties of the four-dimensional cross-polytope model, the 16-cell model, which is an example of higher dimensional generalizations of the octahedron model, are studied on the square lattice. By means of the corner transfer matrix ren
Externí odkaz:
http://arxiv.org/abs/2008.09355
Autor:
Daniška, Michal, Gendiar, Andrej
Publikováno v:
Acta Physica Slovaca 68, 187-286 (2018)
The investigation of the behavior of both classical and quantum systems on non-Euclidean surfaces near the phase transition point represents an interesting research area of modern physics. In the case of classical spin systems, a generalization of th
Externí odkaz:
http://arxiv.org/abs/2003.11767
Publikováno v:
Acta Physica Slovaca 67, 85-206 (2017)
One of the challenging problems in the condensed matter physics is to understand the quantum many-body systems, especially, their physical mechanisms behind. Since there are only a few complete analytical solutions of these systems, several numerical
Externí odkaz:
http://arxiv.org/abs/2003.11244
Autor:
Gendiar, Andrej
Publikováno v:
Acta Physica Polonica A 137 (2020) 589
Magnetic properties of the transverse-field Ising model on curved (hyperbolic) lattices are studied by a tensor product variational formulation that we have generalized for this purpose. First, we identify the quantum phase transition for each hyperb
Externí odkaz:
http://arxiv.org/abs/2003.10717
Publikováno v:
Acta Physica Polonica A 137 (2020) 598
The Berezinskii-Kosterlitz-Thouless (BKT) transitions of the six-state clock model on the square lattice are investigated by means of the corner-transfer matrix renormalization group method. A classical analog of the entanglement entropy $S( L, T )$
Externí odkaz:
http://arxiv.org/abs/2003.10718