Charge Condensation in QED${}_3$ with a Chern-Simons Term

Abstract

Introducing a chemical potential in the functional method, we construct the effective action of QED${}_3$ with a Chern-Simons term. We examine a possibility that charge condensation $⟨{\psi }^{†}\psi ⟩$ remains nonzero at the limit of the zero chemical potential. If it happens, spontaneous magnetization occurs due to the Gauss' law constraint which connects the charge condensation to the background magnetic field. It is found that the stable vacuum with nonzero charge condensation is realized only when fermion masses are sent to zero, keeping it lower than the chemical potential. This result suggests that the spontaneous magnetization is closely related to the fermion mass.

13 pages, phyzzx, 2 figures

References in corpus (6)

• Spontaneously Broken Lorentz Invariance in Three-Dimensional Gauge Theories
• First-order Phase Transition in Three-dimensional QED with Chern--Simons Term
• Dynamical Breakdown of Chirality and Parity in (2+1)-dimensional QED
• Spontaneous Chiral-Symmetry Breaking in Three-Dimensional QED with a Chern--Simons Term
• Spontaneous Breakdown of the Lorentz Invariance
• Spontaneous Magnetization in Lorentz Invariant Theories

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• Vacuum Stability for Dirac Fermions in Three Dimensions
• Dynamical Generation of Fermion Mass and Magnetic Field in Three-Dimensional QED with Chern-Simons Term
• Finite temperature fermion condensate, charge and current densities in a (2+1)-dimensional conical space
• Higher Derivative CP(N) Model and Quantization of the Induced Chern-Simons Term
• Phase Transition in Anyon Superconductivity at Finite Temperature
• Thermodynamic properties of spontaneous magnetization in Chern-Simons QED_3
• Magnetization and dynamically induced finite densities in three-dimensional Chern-Simons QED