Quantum critical dynamics of the two-dimensional Bose gas

Abstract

The dilute, two-dimensional Bose gas exhibits a novel regime of relaxational dynamics in the regime k_B T > |μ| where T is the absolute temperature and μis the chemical potential. This may also be interpreted as the quantum criticality of the zero density quantum critical point at μ=0. We present a theory for this dynamics, to leading order in 1/\ln (Λ/ (k_B T)), where Λis a high energy cutoff. Although pairwise interactions between the bosons are weak at low energy scales, the collective dynamics are strongly coupled even when \ln (Λ/T) is large. We argue that the strong-coupling effects can be isolated in an effective classical model, which is then solved numerically. Applications to experiments on the gap-closing transition of spin gap antiferromagnets in an applied field are presented.

9 pages, 10 figures

References in corpus (9)

• Critical Point of a Weakly Interacting Two-Dimensional Bose Gas
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• Finite Temperature Properties of Quantum Antiferromagnets in a Uniform Magnetic Field in One and Two Dimensions
• Universal relaxational dynamics near two-dimensional quantum-critical points
• Field-Induced Magnetic Ordering in the Quantum Spin System KCuCl${}_3$
• Frustration-Induced Two Dimensional Quantum Disordered Phase in Piperazinium Hexachlorodicuprate
• Competing orders in thermally fluctuating superconductors in two dimensions
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• Hall Conductivity near the z=2 Superconductor-Insulator Transition in 2D

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• Thermoelectric transport near pair breaking quantum phase transition out of d-wave superconductivity
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