Quantum phase transitions: The mean-field perspective
arXiv:1611.09655 · doi:10.1088/1361-6404/aa5c71
Abstract
To illustrate a simple mean-field-like approach for examining quantum phase transitions we consider the quantum Heisenberg antiferromagnet on a square lattice. The exchange couplings and are competing with each other. The ratio is the control parameter and its change drives the transition. We adopt a variational ansatz, calculate the ground-state energy as well as the order parameter and describe the quantum phase transition inherent in the model. This description corresponds completely to the standard Landau theory of phase transitions. We also discuss how to generalize such an approach for more complicated quantum spin models.
arXiv comment10 pages, 10 figures
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