Induced Magnetic Field in a Finite Fermion Density Maxwell QED${}_{2+1}$

Abstract

We are studying finite fermion density states in Maxwell QED${}_{2+1}$ with external magnetic field. It is shown that at any fermion density the energy of some magnetized states may be less than that of the state with the same density, but no magnetic field. Magnetized states are described by the effective Maxwell-Chern-Simons QED${}_{2+1}$ Lagrangian with gauge field mass proportional to the number of filled Landau levels.

9 pages, 3 LaTeX figures included; 1 figure changed

Cited by in corpus (4)

• Half-integer anomalous currents in 2D materials from a QFT viewpoint
• Striped anyonic fluids
• Magnetization and dynamically induced finite densities in three-dimensional Chern-Simons QED
• Magnetic Instability in a Parity Invariant 2D Fermion System