Anomalous criticality near semimetal-to-superfluid quantum phase transition in 
a two-dimensional Dirac cone model

Obert, B.; Takei, S.; Metzner, W.

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Anomalous criticality near semimetal-to-superfluid quantum phase transition in a two-dimensional Dirac cone model

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Metzner, W.
Department Quantum Many-Body Theory (Walter Metzner), Max Planck Institute for Solid State Research, Max Planck Society;

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Citation

Obert, B., Takei, S., & Metzner, W. (2011). Anomalous criticality near semimetal-to-superfluid quantum phase transition in a two-dimensional Dirac cone model. Annalen der Physik, 523(8-9 Sp. Iss. SI), 621-628.

Cite as: https://hdl.handle.net/21.11116/0000-000E-C0EB-0

Abstract

We analyze the scaling behavior at and near a quantum critical point separating a semimetallic from a superfluid phase. To this end we compute the renormalization group flow for a model of attractively interacting electrons with a linear dispersion around a single Dirac point. We study both ground state and finite temperature properties. In two dimensions, the electrons and the order parameter fluctuations exhibit power-law scaling with anomalous scaling dimensions. The quasi-particle weight and the Fermi velocity vanish at the quantum critical point. The order parameter correlation length turns out to be infinite everywhere in the semimetallic ground state. (C) 2011 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim