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

Physics – Condensed Matter – Strongly Correlated Electrons

Scientific paper

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8 pages, 2 figures, typos corrected

Scientific paper

10.1002/andp.201100039

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.

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