429 citations
Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.
- Massachusetts Institute of TechnologyUS50 papers
- Koç UniversityTR46 papers
- Feza Gürsey InstituteTR30 papers
- Boğaziçi UniversityTR28 papers
- Middle East Technical UniversityTR25 papers
- University of CambridgeGB22 papers
- University of OxfordGB21 papers
- University of ManchesterGB20 papers
- Fermi National Accelerator LaboratoryUS19 papers
- Kansas State UniversityUS19 papers
- University of ChicagoUS19 papers
- Columbia UniversityUS18 papers
17 papers · 1 filter
Axial, Planar-Diagonal, Body-Diagonal Fields on the Cubic-Spin Spin Glass in d=3: A Plethora of Ordered Phases under Finite Fields
E. Can Artun, Deniz Sarman, A. Nihat Berker
A nematic phase, previously seen in the d=3 classical Heisenberg spin-glass system, occurs in the n-component cubic-spin spin-glass system, between the low-temperature spin-glass p…
Nematic Phase of the n-Component Cubic-Spin Spin Glass in d=3: Liquid-Crystal Phase in a Dirty Magnet
E. Can Artun, Deniz Sarman, A. Nihat Berker
A nematic phase, previously seen in the d=3 classical Heisenberg spin-glass system, occurs in the n-component cubic-spin spin-glass system, between the low-temperature spin-glass p…
Reentrant Ferromagnetic Ordering of the Random-Field Heisenberg Model in d>2 Dimensions: Fourier-Legendre Renormalization-Group Theory
Alpar Türkoğlu, A. Nihat Berker
The random-magnetic-field classical Heisenberg model is solved in spatial dimensions d>=2 using the recently developed Fourier-Legendre renormalization-group theory for sterad…
Driven and Non-Driven Surface Chaos in Spin-Glass Sponges
Yiğit Ertaç Pektaş, E. Can Artun, A. Nihat Berker
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 ran…
Nematic Ordering in the Heisenberg Spin-Glass System in d=3 Dimensions
Egemen Tunca, A. Nihat Berker
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. In…
Multifractal Spin-Glass Chaos Projection and Interrelation of Multicultural Music and Brain Signals
E. Can Artun, Ibrahim Kecoglu, Alpar Turkoglu +1
A complexity classification scheme is developed from the fractal spectra of spin-glass chaos and demonstrated with multigeographic multicultural music and brain electroencephalogra…
Infinitely Robust Order and Local Order-Parameter Tulips in Apollonian Networks with Quenched Disorder
C. Nadir Kaplan, Michael Hinczewski, A. Nihat Berker
For a variety of quenched random spin systems on an Apollonian network, including ferromagnetic and antiferromagnetic bond percolation and the Ising spin glass, we find the persist…
Quenched-Vacancy Induced Spin-Glass Order
Gül Gülpınar, A. Nihat Berker
The ferromagnetic phase of an Ising model in d=3, with any amount of quenched antiferromagnetic bond randomness, is shown to undergo a transition to a spin-glass phase under suffic…
Chaotic Spin Correlations in Frustrated Ising Hierarchical Lattices
Neşe Aral, A. Nihat Berker
Spin-spin correlations are calculated in frustrated hierarchical Ising models that exhibit chaotic renormalization-group behavior. The spin-spin correlations, as a function of dist…
Strong Violation of Critical Phenomena Universality: Wang-Landau Study of the 2d Blume-Capel Model under Bond Randomness
A. Malakis, A. Nihat Berker, I. A. Hadjiagapiou +1
We study the pure and random-bond versions of the square lattice ferromagnetic Blume-Capel model, in both the first-order and second-order phase transition regimes of the pure mode…
The Blume-Emery-Griffiths Spin Glass and Inverted Tricritical Points
V. Ongun Özçelik, A. Nihat Berker
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 types…
Multicritical points for the spin glass models on hierarchical lattices
Masayuki Ohzeki, Hidetoshi Nishimori, A. Nihat Berker
The locations of multicritical points on many hierarchical lattices are numerically investigated by the renormalization group analysis. The results are compared with an analytical…
Reentrant and Forward Phase Diagrams of the Anisotropic Three-Dimensional Ising Spin Glass
Can Güven, A. Nihat Berker, Michael Hinczewski +1
The spatially uniaxially anisotropic d=3 Ising spin glass is solved exactly on a hierarchical lattice. Five different ordered phases, namely ferromagnetic, columnar, layered, antif…
Quantum-Mechanically Induced Asymmetry in the Phase Diagrams of Spin-Glass Systems
C. Nadir Kaplan, A. Nihat Berker
The spin-1/2 quantum Heisenberg model is studied in all spatial dimensions d by renormalization-group theory. Strongly asymmetric phase diagrams in temperature and antiferromagneti…
Field-Driven Hysteresis of the d=3 Ising Spin Glass: Hard-Spin Mean-Field Theory
Burcu Yücesoy, A. Nihat Berker
Hysteresis loops are obtained in the Ising spin-glass phase in d=3, using frustration-conserving hard-spin mean-field theory. The system is driven by a time-dependent random magnet…
Griffiths singularities and algebraic order in the exact solution of an Ising model on a fractal modular network
Michael Hinczewski
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 scali…
Multicritical Point Relations in Three Dual Pairs of Hierarchical-Lattice Ising Spin-Glasses
Michael Hinczewski, A. Nihat Berker
The Ising spin-glasses are investigated on three dual pairs of hierarchical lattices, using exact renormalization-group transformation of the quenched bond probability distribution…