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19942026
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cond-mat.stat-mech2026

Renormalization group analysis of directed percolation process: Towards multiloop calculation of scaling functions

Michal Hnatič, Matej Kecer, Tomáš Lučivjanský +1

In this work, we employ a field-theoretic renormalization group approach to study a paradigmatic model of directed percolation. We focus on the perturbative calculation of the equa…

cond-mat.stat-mech2025★ 1 cited

Random cubic graph embedded in a hypercube: Entanglement spectrum and many-body localization

Frantisek Slanina

The schematic model of interacting spins is introduced, which combines the symmetry of hypercube with the simplicity of random regular graph with degree three, i.e. the random cubi…

cond-mat.stat-mech2025★ 1 cited

Jamming of active particles in narrow pores: Implications for ratchet effect and diffusion coefficient

Šimon Pajger, František Slanina

We study the behavior of colloidal active particles interacting via steric repulsion in various quasi-1D geometries. We mainly focus on active particles with high Péclet number. We…

cond-mat.stat-mech2025

1D fluids with repulsive nearest-neighbour interactions: Low-temperature anomalies

Igor Travěnec, Ladislav Šamaj

A limited number of 2D and 3D materials under a constant pressure contract in volume upon heating isobarically; this anomalous phenomenon is known as the negative thermal expansion…

cond-mat.stat-mech2025

Contact value theorem for electric double layers with modulated surface charge density

Ladislav Šamaj

The contact value theorem was originally derived for Coulomb fluids of mobile charged particles in thermal equilibrium, in the presence of interfaces carrying a {\em uniform} surfa…

cond-mat.stat-mech2023★ 4 cited

Anomalous Kinetics of a Multi-Species Reaction-Diffusion System: Effect of Random Velocity Fluctuations

Michal Hnatič, Matej Kecer, Tomáš Lučivjanský

Reaction-diffusion systems, which consist of the reacting particles subject to diffusion process, constitute one of the common examples of non-linear statistical systems. In low sp…

cond-mat.stat-mech2023

Effective interaction between guest charges immersed in 2D jellium

Ladislav Šamaj

The model under study is an infinite 2D jellium of pointlike particles with elementary charge , interacting via the logarithmic potential and in thermal equilibrium at the inver…

cond-mat.stat-mech2023

Two-species reaction-diffusion system in the presence of random velocity fluctuations

Michal Hnatič, Matej Kecer, Tomáš Lučivjanský

We study random velocity effects on a two-species reaction-diffusion system consisting of three reaction processes . Using the…

cond-mat.stat-mech2022★ 4 cited

Electric double layers with modulated surface charge density: Exact 2D results

Ladislav Šamaj

Electric double layers (EDL) with counterions only, say electrons with the elementary charge , in thermal equilibrium at the inverse temperature are considered. In particul…

cond-mat.stat-mech2022★ 4 cited

Anisotropic deformation of the 6-state clock model: Tricritical-point classification

Maria Polackova, Andrej Gendiar

The two-dimensional -state clock models exhibit the Berezinskii-Kosterlitz-Thouless (BKT) transition for since they are a subset of the isotropic XY model. We examine t…

cond-mat.stat-mech2022

Towards lattice-gas description of low-temperature properties above the Haldane and cluster-based Haldane ground states of a mixed spin-(1,1/2) Heisenberg octahedral chain

Katarina Karlova, Jozef Strecka, Johannes Richter

The rich ground-state phase diagram of the mixed spin-(1,1/2) Heisenberg octahedral chain was previously elaborated from effective mixed-spin Heisenberg chains, which were derived…

cond-mat.stat-mech2021★ 1 cited

XY model with competing higher-order interactions

Milan Žukovič, Georgii Kalagov

We study effects of competing pairwise higher-order interactions (HOI) with alternating signs and exponentially decreasing intensity on critical behavior of the XY model. It is fou…

cond-mat.stat-mech2021

Ising ferromagnets and antiferromagnets in an imaginary magnetic field

Roman Krčmár, Andrej Gendiar, Ladislav Šamaj

We study classical Ising spin- models on the 2D square lattice with ferromagnetic or antiferromagnetic nearest-neighbor interactions, under the effect of a pure imagin…

cond-mat.stat-mech2021★ 4 cited

J1-J2 fractal studied by multi-recursion tensor-network method

Jozef Genzor, Andrej Gendiar, Ying-Jer Kao

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}^{…

cond-mat.stat-mech2020★ 7 cited

Attraction of like-charged walls with counterions only: Exact results for the 2D cylinder geometry

Ladislav Šamaj

We study a 2D system of identical mobile particles on the surface of a cylinder of finite length and circumference , immersed in a medium of dielectric constant $\varepsilon…

cond-mat.stat-mech2020

Effect of Single-ion Anisotropy on Magnetocaloric Properties of Frustrated Spin- Ising Nanoclusters

Mariia Mohylna, Milan Žukovič

Effects of a single-ion anisotropy on magnetocaloric properties of selected spin- antiferromagnetic Ising clusters with frustration-inducing triangular geometry are studie…

cond-mat.stat-mech2020★ 5 cited

Absence of long-range order in a general spin- kagome lattice Ising antiferromagnet

M. Semjan, M. Žukovič

The possibility of the emergence of some kind of long-range ordering (LRO) due to the increase of multiplicity of the local degrees of freedom (spin value ) is studied in an Isi…

cond-mat.stat-mech2020★ 10 cited

New ordered phase in geometrically frustrated generalized model

M. Lach, M. Žukovič

Critical properties of a geometrically frustrated generalized model with antiferromagnetic (AFM) and third-order antinematic (AN3) couplings on a triangular lattice are studie…

cond-mat.stat-mech2020★ 8 cited

Entanglement-entropy study of phase transitions in six-state clock model

Roman Krčmár, Andrej Gendiar, Tomotoshi Nishino

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 gro…

cond-mat.stat-mech2020★ 2 cited

Area-Law Study of Quantum Spin System on Hyperbolic Lattice Geometries

Andrej Gendiar

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 pu…

cond-mat.stat-mech2020

Full nonuniversality of the symmetric 16-vertex model on the square lattice

Eva Pospíšilová, Roman Krčmár, Andrej Gendiar +1

We consider the symmetric two-state 16-vertex model on the square lattice whose vertex weights are invariant under any permutation of adjacent edge states. The vertex-weight parame…

cond-mat.stat-mech2020★ 10 cited

Absence of logarithmic divergence of the entanglement entropies at the phase transitions of a 2D classical hard rod model

Christophe Chatelain, Andrej Gendiar

Entanglement entropy is a powerful tool to detect continuous, discontinuous and even topological phase transitions in quantum as well as classical systems. In this work, von Neuman…

cond-mat.stat-mech2020★ 24 cited

Finite- scaling analysis of Berezinskii-Kosterlitz-Thouless phase transitions and entanglement spectrum for the six-state clock model

Hiroshi Ueda, Kouichi Okunishi, Kenji Harada +4

We investigate the Berezinskii-Kosterlitz-Thouless transitions for the square-lattice six-state clock model with the corner-transfer matrix renormalization group (CTMRG). Scaling a…

cond-mat.stat-mech2019★ 2 cited

Short-distance symmetry of pair correlations in two-dimensional jellium

Ladislav Šamaj

We consider the two-dimensional one-component plasma (jellium) of mobile pointlike particles with the same charge , interacting pairwisely by the logarithmic Coulomb potential a…