Journal of Physical Studies 11(4), 377–389 (2007)
DOI: https://doi.org/10.30970/jps.11.377

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

N. D. Vlasii^{1,2}, Yu. A. Sitenko^{1,2}
^{1}Bogolyubov Institute for Theoretical Physics,
14-b, Metrolohichna St., Kyiv, UA–03680, Ukraine
^{2}Physics Department, Taras Shevchenko National University of Kyiv,
2, Glushkov Ave., Build. 1, Kyiv, UA–03022, Ukraine

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.

PACS number(s): 03.65.Ca, 11.10.Kk, 11.10.Wx, 11.15.Tk, 14.80.Hv