Casimir Effect for Fermion Condensate in Conical Rings

The fermion condensate (FC) is investigated for a (2+1)-dimensional massive fermionic field confined on truncated cone with an arbitrary planar angle deficit and threaded by magnetic flux. Different combinations of the boundary conditions are imposed edges cone. They include bag condition as special case. By using generalized Abel-Plana-type summation formula series over eigenvalues radial quantum number, edge-induced contributions in FC explicitly extracted. even periodic function flux period equal to quantum. Depending conditions, can be either positive or negative. For massless boundary-free conical geometry vanishes nonzero purely effects. This provides mechanism time-reversal symmetry breaking absence fields. Combining results fields corresponding two inequivalent irreducible representations Clifford algebra, parity symmetric models applications discussed graphitic cones.