Publication

Mean-Field calculations on the diluted dipolar magnet LiHo1−xYxF4

2009
Student Projects

Abstract

We define a new inhomogeneous mean-field algorithm to study the magnetic alloy LiHo1−xYxF4. The phase diagrams in the Hx-T, x-T and x-Hx planes are computed. The calculated critical temperature is overestimated by 27% and the critical field is underestimated by 29%. The later discrepancy is due to the hyperfine coupling which has been neglected in our model. The reasons for the temperature discrepancy are discussed. The critical exponents for the magnetic susceptibility are found to be mean-field ( = ′ = 1) for small dilution and seems to decrease at high dilution, although a more systematic work is required to establish it. Signs of a spin glass phase taking place for dilutions greater than x = 0.84 has been found and extensively discussed. Finally, an history dependant ordering is observed for x = 0.9 accordingly to recent neutron scattering experiments.

Official source

https://infoscience.epfl.ch/entities/publication/b3e22f8c-cebb-4821-bdfa-c2f2c5a104e9

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2009
Student Projects

Abstract

Official source

https://infoscience.epfl.ch/entities/publication/b3e22f8c-cebb-4821-bdfa-c2f2c5a104e9

About this result

Related concepts (32)

Critical point (thermodynamics)

In thermodynamics, a critical point (or critical state) is the end point of a phase equilibrium curve. One example is the liquid–vapor critical point, the end point of the pressure–temperature curve that designates conditions under which a liquid and its vapor can coexist. At higher temperatures, the gas cannot be liquefied by pressure alone. At the critical point, defined by a critical temperature Tc and a critical pressure pc, phase boundaries vanish.

Critical exponent

Critical exponents describe the behavior of physical quantities near continuous phase transitions. It is believed, though not proven, that they are universal, i.e. they do not depend on the details of the physical system, but only on some of its general features. For instance, for ferromagnetic systems, the critical exponents depend only on: the dimension of the system the range of the interaction the spin dimension These properties of critical exponents are supported by experimental data.

Critical phenomena

In physics, critical phenomena is the collective name associated with the physics of critical points. Most of them stem from the divergence of the correlation length, but also the dynamics slows down. Critical phenomena include scaling relations among different quantities, power-law divergences of some quantities (such as the magnetic susceptibility in the ferromagnetic phase transition) described by critical exponents, universality, fractal behaviour, and ergodicity breaking.

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Mean-Field calculations on the diluted dipolar magnet LiHo1−xYxF4

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