Casimir effect for fermion condensate in conical rings
- URL: http://arxiv.org/abs/2102.12155v2
- Date: Tue, 23 Mar 2021 11:48:20 GMT
- Title: Casimir effect for fermion condensate in conical rings
- Authors: A. A. Saharian, T. A. Petrosyan, A. A. Hovhannisyan
- Abstract summary: The fermion condensate (FC) is investigated for a massive fermionic field confined on a truncated cone with an arbitrary planar angle deficit and threaded by a magnetic flux.
Different combinations of the boundary conditions are imposed on the edges of the cone.
The FC is investigated in the parity and time-reversal symmetric fermionic models and applications are discussed for graphitic cones.
- Score: 0.0
- License: http://creativecommons.org/licenses/by/4.0/
- Abstract: The fermion condensate (FC) is investigated for a (2+1)-dimensional massive
fermionic field confined on a truncated cone with an arbitrary planar angle
deficit and threaded by a magnetic flux. Different combinations of the boundary
conditions are imposed on the edges of the cone. They include the bag boundary
condition as a special case. By using the generalized Abel-Plana-type summation
formula for the series over the eigenvalues of the radial quantum number, the
edge-induced contributions in the FC are explicitly extracted. The FC is an
even periodic function of the magnetic flux with the period equal to the flux
quantum. Depending on the boundary conditions, the condensate can be either
positive or negative. For a massless field the FC in the boundary-free conical
geometry vanishes and the nonzero contributions are purely edge-induced
effects. This provides a mechanism for time-reversal symmetry breaking in the
absence of magnetic fields. Combining the results for the fields corresponding
to two inequivalent irreducible representations of the Clifford algebra, the FC
is investigated in the parity and time-reversal symmetric fermionic models and
applications are discussed for graphitic cones.
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