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26 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…
Class-Specific Tests of Spatial Segregation Based on Nearest Neighbor Contingency Tables
Elvan Ceyhan
The spatial interaction between two or more classes (or species) has important consequences in many fields and might cause multivariate clustering patterns such as segregation or a…
Pseudo-Hermitian Representation of Quantum Mechanics
Ali Mostafazadeh
A diagonalizable non-Hermitian Hamiltonian having a real spectrum may be used to define a unitary quantum system, if one modifies the inner product of the Hilbert space properly. W…
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…
Frustrated Further-Neighbor Antiferromagnetic and Electron-Hopping Interactions in the d=3 tJ Model: Finite-Temperature Global Phase Diagrams from Renormalization-Group Theory
C. Nadir Kaplan, A. Nihat Berker, Michael Hinczewski
The renormalization-group theory of the d=3 tJ model is extended to further-neighbor antiferromagnetic or electron-hopping interactions, including the ranges of frustration. The gl…