Nature of Phase Transitions in a Generalized Complex |psi|^4 Model

Details Nature of Phase Transitions in a Generalized Complex |psi|^4 Model Nature of Phase Transitions in a Generalized Complex |psi|^4 Model

2005-01-19

arxiv.org/abs/cond-mat/0501468v1

Physics

Condensed Matter

Statistical Mechanics

11 pages, RevTex, 33 postscript figures, author information under http://www.physik.uni-leipzig.de/index.php?id=22

Scientific paper

10.1103/PhysRevB.71.024512

We employ Monte Carlo simulations to study a generalized three-dimensional complex $psi|^4 theory of Ginzburg-Landau form and compare our numerical results with a recent quasi-analytical mean-field type approximation, which predicts first-order phase transitions in parts of the phase diagram. As we have shown earlier, this approximation does not apply to the standard formulation of the model. This motivated us to introduce a generalized Hamiltonian with an additional fugacity term controlling implicitly the vortex density. With this modification we find that the complex |psi|^4 theory can, in fact, be tuned to undergo strong first-order phase transitions. The standard model is confirmed to exhibit continuous transitions which can be characterized by XY model exponents, as expected by universality arguments. A few remarks on the two-dimensional case are also made.

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