Unconventional behavior of Dirac fermions in three-dimensional gauge theory

Abstract

We study the unconventional behavior of massless Dirac fermions due to interaction with a U(1) gauge field in two spatial dimensions. At zero chemical potential, the longitudinal and transverse components of gauge interaction are both long-ranged. There is no fermion velocity renormalization since the system respects Lorentz invariance. At finite chemical potential, the Lorentz invariance is explicitly broken by the finite Fermi surface. The longitudinal gauge interaction is statically screened and becomes unimportant, whereas the transverse gauge interaction remains long-ranged and leads to singular renormalization of fermion velocity. The anomalous dimension of fermion velocity is calculated by means of the renormalization group method. We then examine the influence of singular velocity renormalization on several physical quantities, and show that they exhibit different behavior at zero and finite chemical potential.

9 pages, 4 figures

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Cited by in corpus (9)

• Velocity renormalization of nodal quasiparticles in d-wave superconductors
• Condition for the emergence of a bulk Fermi arc in disordered Dirac-fermion systems
• Measurement of the electronic thermal conductance channels and heat capacity of graphene at low temperature
• Fermion-fermion interaction driven instability and criticality of quadratic band crossing systems with the breaking of time-reversal symmetry
• Effects of random potentials in three-dimensional quantum electrodynamics
• Infrared behavior of dynamical fermion mass generation in QED${}_3$
• Renormalization of fermion velocity in finite temperature QED_{3}
• Influence of Fermion Velocity Renormalization on Dynamical Mass Generation in QED${}_3$
• Critical fates induced by the interaction competition in three-dimensional tilted Dirac semimetals