SPIN AND ANGULAR MOMENTUM OF TWO-DIMENSIONAL RELATIVISTIC FERMI GAS WITH A MAGNETIC VORTEX

摘要

The influence of temperature on the induced quantum numbers in relativistic fermionic systems with topological defects is analyzed. We consider an ideal gas of two-dimensional Dirac electrons in the presence of a defect in the form of a point magnetic vortex with an arbitrary flux. The most general boundary conditions at the vortex point, providing for the self-adjointness of the Dirac hamiltonian, are employed. It is shown that spin and angular momentum are induced in the system, and we determine a dependence of thermal averages and correlations on the vortex flux and boundary condition.