Driven and non-driven surface chaos in spin-glass sponges
A spin-glass system with a smooth or fractal outer surface is studied by renormalization-
group theory, in bulk spatial dimension d= 3. Independently varying the surface and bulk …
group theory, in bulk spatial dimension d= 3. Independently varying the surface and bulk …
Two-dimensional quantum-spin-1/2 XXZ magnet in zero magnetic field: Global thermodynamics from renormalisation group theory
OS Sarıyer - Philosophical Magazine, 2019 - Taylor & Francis
Phase diagram, critical properties and thermodynamic functions of the two-dimensional field-
free quantum-spin-1/2 XXZ model has been calculated globally using a numerical …
free quantum-spin-1/2 XXZ model has been calculated globally using a numerical …
Evolving pseudofractal networks
We present a family of scale-free network model consisting of cliques, which is established
by a simple recursive algorithm. We investigate the networks both analytically and …
by a simple recursive algorithm. We investigate the networks both analytically and …
Critical study of hierarchical lattice renormalization group in magnetic ordered and quenched disordered systems: Ising and Blume–Emery–Griffiths models
Renormalization group based on the Migdal–Kadanoff bond removal approach is often
considered a simple and valuable tool to understand the critical behavior of complicated …
considered a simple and valuable tool to understand the critical behavior of complicated …
Griffiths singularities and algebraic order in the exact solution of an Ising model on a fractal modular network
M Hinczewski - Physical Review E—Statistical, Nonlinear, and Soft …, 2007 - APS
We use an exact renormalization-group transformation to study the Ising model on a
complex network composed of tightly knit communities nested hierarchically with the fractal …
complex network composed of tightly knit communities nested hierarchically with the fractal …
Blume-Emery-Griffiths spin glass and inverted tricritical points
VO Özçelik, AN Berker - Physical Review E—Statistical, Nonlinear, and Soft …, 2008 - APS
The Blume-Emery-Griffiths spin glass is studied by renormalization-group theory in d= 3. The
boundary between the ferromagnetic and paramagnetic phases has first-order and two …
boundary between the ferromagnetic and paramagnetic phases has first-order and two …
Multicritical point relations in three dual pairs of hierarchical-lattice Ising spin glasses
M Hinczewski, AN Berker - Physical Review B—Condensed Matter and …, 2005 - APS
The Ising spin glasses are investigated on three dual pairs of hierarchical lattices, using
exact renormalization-group transformation of the quenched bond probability distribution …
exact renormalization-group transformation of the quenched bond probability distribution …
Finite-temperature phase diagram of nonmagnetic impurities in high-temperature superconductors using a model with quenched disorder
M Hinczewski, AN Berker - Physical Review B—Condensed Matter and …, 2008 - APS
We study a quenched disordered d= 3 t J Hamiltonian with static vacancies as a model of
nonmagnetic impurities in high-T c materials. Using a renormalization-group approach, we …
nonmagnetic impurities in high-T c materials. Using a renormalization-group approach, we …
Chaotic spin correlations in frustrated Ising hierarchical lattices
N Aral, AN Berker - Physical Review B—Condensed Matter and Materials …, 2009 - APS
Spin-spin correlations are calculated in frustrated hierarchical Ising models that exhibit
chaotic renormalization-group behavior. The spin-spin correlations, as a function of …
chaotic renormalization-group behavior. The spin-spin correlations, as a function of …
Reentrant and forward phase diagrams of the anisotropic three-dimensional Ising spin glass
The spatially uniaxially anisotropic d= 3 Ising spin glass is solved exactly on a hierarchical
lattice. Five different ordered phases, namely, ferromagnetic, columnar, layered …
lattice. Five different ordered phases, namely, ferromagnetic, columnar, layered …