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

2011/04/30 by Benjamin Obert, B. Obert, So Takei +3
Physics and Astronomy · #Critical point (mathematics) #Electron #Ground state #Quantum #Quantum and electron transport phenomena #Quantum critical point #Quantum fluctuation #Quantum many-body systems #Quantum phase transition #Renormalization group #Scaling #Superfluidity #Topological Materials and Phenomena #cond-mat.str-el

paper · pdf · doi:10.1002/andp.201100039

published as Ann. Phys. (Berlin), 523, 621 (2011) · 8 pages, 2 figures, typos corrected

openalex publication_date 2011/08/26 · arxiv created 2011/11/07 · arxiv updated 2011/11/08 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

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.

Citations

• How generic scale invariance influences quantum and classical phase transitions
• Fermi-liquid instabilities at magnetic quantum phase transitions
• Quantum critical phenomena
• Quantum Critical Scaling in Graphene
• Collective fields in the functional renormalization group for fermions, Ward identities, and the exact solution of the Tomonaga-Luttinger model
• The electronic properties of graphene
• Temperature dependence of antiferromagnetic order in the Hubbard model
• Quantum Phase Transitions ind-Wave Superconductors