Generalized algebraic transformations and exactly solvable classical-quantum models

J Strečka - Physics Letters A, 2010 - Elsevier
The rigorous approach aimed at providing exact analytical results for hybrid classical-
quantum models is elaborated on the grounds of generalized algebraic mapping …

Vigorous thermal excitations in a double-tetrahedral chain of localized Ising spins and mobile electrons mimic a temperature-driven first-order phase transition

L Gálisová, J Strečka - Physical Review E, 2015 - APS
A hybrid spin-electron system defined on a one-dimensional double-tetrahedral chain, in
which the localized Ising spin regularly alternates with two mobile electrons delocalized over …

Transforming generalized Ising models into Boltzmann machines

N Yoshioka, Y Akagi, H Katsura - Physical Review E, 2019 - APS
We find an exact mapping from the generalized Ising models with many-spin interactions to
equivalent Boltzmann machines, ie, the models with only two-spin interactions between …

Direct algebraic mapping transformation for decorated spin models

O Rojas, SM De Souza - Journal of Physics A: Mathematical and …, 2011 - iopscience.iop.org
In this paper, we propose a general transformation for decorated spin models. The
advantage of this transformation is to perform a direct mapping of a decorated spin model …

Reentrant phase transitions of a coupled spin-electron model on doubly decorated planar lattices with two or three consecutive critical points

H Čenčariková, J Strečka, ML Lyra - Journal of Magnetism and Magnetic …, 2016 - Elsevier
The generalized decoration–iteration transformation is adapted for the exact study of a
coupled spin-electron model on 2D lattices in which localized Ising spins reside on nodal …

Geometrical frustration of an extended hubbard diamond chain in the quasiatomic limit

O Rojas, SM De Souza, NS Ananikian - Physical Review E—Statistical …, 2012 - APS
We study the geometrical frustration of an extended Hubbard model on a diamond chain,
where vertical lines correspond to the hopping and repulsive Coulomb interaction terms …

Enhanced magnetoelectric effect of the exactly solved spin-electron model on a doubly decorated square lattice in the vicinity of a continuous phase transition

H Čenčariková, J Strečka - Physical Review E, 2018 - APS
Magnetoelectric properties of a coupled spin-electron model on a doubly decorated square
lattice in an external electric field applied along the crystallographic axis [11] are rigorously …

[HTML][HTML] Band-filling driven crossover from ferro to antiferromagnetic order in Ising lattices decorated by quantum dimers

FF Doria, MSS Pereira, ML Lyra - Journal of magnetism and magnetic …, 2014 - Elsevier
We introduce an exactly solvable model of hybrid spin lattices having nodal Ising spins and
decorating quantum dimers with a varying band-filling. The kinetic energy of the decorating …

Effect of the on-site interaction on the magnetic properties of an exactly solvable spin–electron system

L Gálisová, J Strečka, A Tanaka… - Journal of Physics …, 2011 - iopscience.iop.org
A hybrid lattice-statistical model on doubly decorated planar lattices, which have localized
Ising spins at their nodal lattice sites and two itinerant electrons at each pair of decorating …

[HTML][HTML] Exact solution of a coupled spin–electron linear chain composed of localized Ising spins and mobile electrons

J Čisárová, J Strečka - Physics Letters A, 2014 - Elsevier
Exact solution of a coupled spin–electron linear chain composed of localized Ising spins and
mobile electrons is found. The investigated spin–electron model is exactly solvable by the …