Anomalous ordering in inhomogeneously strained materials

Charo del Genio, Kevin Bassler

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Abstract

We study a continuous quasi-two-dimensional order-disorder phase transition that occurs in a simple model of a material that is inhomogeneously strained due to the presence of dislocation lines. Performing Monte Carlo simulations of different system sizes and using finite size scaling, we measure critical exponents describing the transition of beta=0.18±0.02, gamma=1.0±0.1, and alpha=0.10±0.02. Comparable exponents have been reported in a variety of physical systems. These systems undergo a range of different types of phase transitions, including structural transitions, exciton percolation, and magnetic ordering. In particular, similar exponents have been found to describe the development of magnetic order at the onset of the pseudogap transition in high-temperature superconductors. Their common universal critical exponents suggest that the essential physics of the transition in all of these physical systems is the same as in our model. We argue that the nature of the transition in our model is related to surface transitions, although our model has no free surface.
Original languageEnglish
Article number031115
JournalPhysical Review E
Volume82
DOIs
Publication statusPublished - 10 Sep 2010

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Anomalous
exponents
Critical Exponents
Phase Transition
Exponent
Pseudogap
High-temperature Superconductors
Exciton
Finite-size Scaling
Dislocation
Model
Free Surface
Disorder
Monte Carlo Simulation
Physics
high temperature superconductors
Line
excitons
disorders
scaling

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Anomalous ordering in inhomogeneously strained materials. / del Genio, Charo; Bassler, Kevin.

In: Physical Review E, Vol. 82, 031115, 10.09.2010.

Research output: Contribution to journalArticle

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