Uncovering the secrets of the 2D random-bond Blume–Capel model

A. Malakis, A. Nihat Berker, I. A. Hadjiagapiou, Nikolaos G. Fytas, T. Papakonstantinou

Research output: Contribution to journalArticle

2 Citations (Scopus)

Abstract

The effects of bond randomness on the ground-state structure, phase diagram and critical behavior of the square lattice ferromagnetic Blume–Capel (BC) model are discussed. The calculation of ground states at strong disorder and large values of the crystal field is carried out by mapping the system onto a network and we search for a minimum cut by a maximum flow method. At finite temperatures the system is studied by an efficient two-stage Wang–Landau (WL) method for several values of the crystal field, including both the first- and second-order phase transition regimes of the pure model. We attempt to explain the enhancement of ferromagnetic order and we discuss the critical behavior of the random-bond model. Our results provide evidence for a strong violation of universality along the second-order phase transition line of the random-bond version.
Original languageEnglish
Pages (from-to)2930–2933
JournalPhysica A: Statistical Mechanics and its Applications
Volume389
Issue number15
DOIs
Publication statusPublished - 1 Aug 2010

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Blume-Capel Model
Critical Behavior
Ground State
Crystal
Phase Transition
Minimum Cut
crystal field theory
Maximum Flow
Finite Temperature
Square Lattice
Randomness
Phase Diagram
Universality
Disorder
ground state
Enhancement
First-order
Line
phase diagrams
disorders

Bibliographical note

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Keywords

  • Random-bond Blume–Capel model

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Uncovering the secrets of the 2D random-bond Blume–Capel model. / Malakis, A.; Nihat Berker, A.; Hadjiagapiou, I. A.; Fytas, Nikolaos G.; Papakonstantinou, T.

In: Physica A: Statistical Mechanics and its Applications, Vol. 389, No. 15, 01.08.2010, p. 2930–2933.

Research output: Contribution to journalArticle

Malakis, A, Nihat Berker, A, Hadjiagapiou, IA, Fytas, NG & Papakonstantinou, T 2010, 'Uncovering the secrets of the 2D random-bond Blume–Capel model' Physica A: Statistical Mechanics and its Applications, vol. 389, no. 15, pp. 2930–2933. https://doi.org/10.1016/j.physa.2009.12.064
Malakis, A. ; Nihat Berker, A. ; Hadjiagapiou, I. A. ; Fytas, Nikolaos G. ; Papakonstantinou, T. / Uncovering the secrets of the 2D random-bond Blume–Capel model. In: Physica A: Statistical Mechanics and its Applications. 2010 ; Vol. 389, No. 15. pp. 2930–2933.
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