Chaotic renormalization flow in the Potts model induced by long-range competition
K Jiang, J Qiao, Y Lan - Physical Review E, 2021 - APS
A proper description of spin glass remains a hard subject in theoretical physics and is
considered to be closely related to the emergence of chaos in the renormalization group …
considered to be closely related to the emergence of chaos in the renormalization group …
Multifractal spin-glass chaos projection and interrelation of multicultural music and brain signals
A complexity classification scheme is developed from the fractal spectra of spin-glass chaos
and demonstrated with multigeographic multicultural music and brain electroencephalogram …
and demonstrated with multigeographic multicultural music and brain electroencephalogram …
First-order to second-order phase transition changeover and latent heats of -state Potts models in =2,3 from a simple Migdal-Kadanoff adaptation
HY Devre, AN Berker - Physical Review E, 2022 - APS
The changeover from first-order to second-order phase transitions in q-state Potts models is
obtained at qc= 2 in spatial dimension d= 3 and essentially at qc= 4 in d= 2, using a …
obtained at qc= 2 in spatial dimension d= 3 and essentially at qc= 4 in d= 2, using a …
Phase transitions on random lattices: How random is topological disorder?
H Barghathi, T Vojta - Physical Review Letters, 2014 - APS
We study the effects of topological (connectivity) disorder on phase transitions. We identify a
broad class of random lattices whose disorder fluctuations decay much faster with …
broad class of random lattices whose disorder fluctuations decay much faster with …
Lower-critical spin-glass dimension from 23 sequenced hierarchical models
The lower-critical dimension for the existence of the Ising spin-glass phase is calculated,
numerically exactly, as d L= 2.520 for a family of hierarchical lattices, from an essentially …
numerically exactly, as d L= 2.520 for a family of hierarchical lattices, from an essentially …
Odd -state clock spin-glass models in three dimensions, asymmetric phase diagrams, and multiple algebraically ordered phases
Distinctive orderings and phase diagram structures are found, from renormalization-group
theory, for odd q-state clock spin-glass models in d= 3 dimensions. These models exhibit …
theory, for odd q-state clock spin-glass models in d= 3 dimensions. These models exhibit …
Renormalization-group theory of the Heisenberg model in d dimensions
E Tunca, AN Berker - Physica A: Statistical Mechanics and its Applications, 2022 - Elsevier
The classical Heisenberg model has been solved in spatial d dimensions, exactly in d= 1
and by the Migdal–Kadanoff approximation in d> 1, by using a Fourier–Legendre …
and by the Migdal–Kadanoff approximation in d> 1, by using a Fourier–Legendre …
Phase transitions of the variety of random-field Potts models
A Türkoğlu, AN Berker - Physica A: Statistical Mechanics and its …, 2021 - Elsevier
The phase transitions of random-field q-state Potts models in d= 3 dimensions are studied
by renormalization-group theory by exact solution of a hierarchical lattice and, equivalently …
by renormalization-group theory by exact solution of a hierarchical lattice and, equivalently …
Nematic ordering in the Heisenberg spin-glass system in three dimensions
E Tunca, AN Berker - Physical Review E, 2023 - APS
Nematic ordering, where the spins globally align along a spontaneously chosen axis
irrespective of direction, occurs in spin-glass systems of classical Heisenberg spins in d= 3 …
irrespective of direction, occurs in spin-glass systems of classical Heisenberg spins in d= 3 …