Publication

Monte Carlo study of the critical properties of the three-dimensional 120 degrees model

2011
Conference Papers

Abstract

We report on large scale finite-temperature Monte Carlo simulations of the prototypical classical 120 degrees or e(g) model for orbital ordering on the simple cubic lattice in three dimensions. Our study reveals a continuous phase transition to an orbitally ordered phase with unusual critical properties compared to standard magnetism. While the correlation length exponent nu approximate to 0.665 is close to the 3D XY value, the exponent eta approximate to 0.15 differs substantially from O(N) values. Our results are corroborated by simulation results from a discrete e(g)-clock model that we have defined.

Official source

https://infoscience.epfl.ch/entities/publication/90047257-c284-4498-9145-efe1856094db

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2011
Conference Papers

Abstract

Official source

https://infoscience.epfl.ch/entities/publication/90047257-c284-4498-9145-efe1856094db

About this result

Related concepts (32)

Phase transition

In chemistry, thermodynamics, and other related fields, a phase transition (or phase change) is the physical process of transition between one state of a medium and another. Commonly the term is used to refer to changes among the basic states of matter: solid, liquid, and gas, and in rare cases, plasma. A phase of a thermodynamic system and the states of matter have uniform physical properties. During a phase transition of a given medium, certain properties of the medium change as a result of the change of external conditions, such as temperature or pressure.

Scale model

A scale model is a physical model which is geometrically similar to an object (known as the prototype). Scale models are generally smaller than large prototypes such as vehicles, buildings, or people; but may be larger than small prototypes such as anatomical structures or subatomic particles. Models built to the same scale as the prototype are called mockups. Scale models are used as tools in engineering design and testing, promotion and sales, filmmaking special effects, military strategy, and hobbies such as rail transport modeling, wargaming and racing; and as toys.

Magnetism

Magnetism is the class of physical attributes that occur through a magnetic field, which allows objects to attract or repel each other. Because both electric currents and magnetic moments of elementary particles give rise to a magnetic field, magnetism is one of two aspects of electromagnetism. The most familiar effects occur in ferromagnetic materials, which are strongly attracted by magnetic fields and can be magnetized to become permanent magnets, producing magnetic fields themselves.

Related publications (32)

Monte Carlo study of the critical properties of the three-dimensional 120 degrees model

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