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7 papers · 1 filter
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…