Zobrazeno 1 - 10
of 339
pro vyhledávání: '"A. Gendiar"'
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
Despite the constant evolution of similarity searching research, it continues to face the same challenges stemming from the complexity of the data, such as the curse of dimensionality and computationally expensive distance functions. Various machine
Externí odkaz:
http://arxiv.org/abs/2208.08910
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