Universal behavior of repulsive two-dimensional fermions in the vicinity of the quantum freezing point
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https://doi.org/10.1209/0295-5075/103/16002Metadata
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Babadi, Mehrtash, Brian Skinner, Michael M. Fogler, and Eugene Demler. 2013. “Universal Behavior of Repulsive Two-Dimensional Fermions in the Vicinity of the Quantum Freezing Point.” EPL (Europhysics Letters) 103 (1) (July 1): 16002. doi:10.1209/0295-5075/103/16002.Abstract
We show by a meta-analysis of the available Quantum Monte Carlo (QMC) results that two-dimensional fermions with repulsive interactions exhibit universal behavior in the strongly correlated regime, and that their freezing transition can be described using a quantum generalization of the classical Hansen-Verlet freezing criterion. We calculate the liquid-state energy and the freezing point of the 2D dipolar Fermi gas (2DDFG) using a variational method by taking ground-state wave functions of 2D electron gas (2DEG) as trial states. A comparison with the recent fixed-node diffusion Monte Carlo analysis of the 2DDFG shows that our simple variational technique captures more than 95% of the correlation energy, and predicts the freezing transition within the uncertainty bounds of QMC. Finally, we utilize the ground-state wave functions of 2DDFG as trial states and provide a variational account of the effects of finite 2D confinement width. Our results indicate significant beyond mean-field effects. We calculate the frequency of collective monopole oscillations of the quasi-2D dipolar gas as an experimental demonstration of correlation effects.Other Sources
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