A Criterion for the Critical Number of Fermions and Chiral Symmetry Breaking in Anisotropic QED(2+1)

Details A Criterion for the Critical Number of Fermions and Chiral Symmetry Breaking in Anisotropic QED(2+1) A Criterion for the Critical Number of Fermions and Chiral Symmetry Breaking in Anisotropic QED(2+1)

2009-06-05

arxiv.org/abs/0906.1103v1

Phys. Rev. B 79, 214525 (2009)

Physics

Condensed Matter

Superconductivity

To appear in Physical Review B

Scientific paper

10.1103/PhysRevB.79.214525

By analyzing the strength of a photon-fermion coupling using basic scattering processes we calculate the effect of a velocity anisotropy on the critical number of fermions at which mass is dynamically generated in planar QED. This gives a quantitative criterion which can be used to locate a quantum critical point at which fermions are gapped and confined out of the physical spectrum in a phase diagram of various condensed matter systems. We also discuss the mechanism of relativity restoration within the symmetric, quantum-critical phase of the theory.

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