Finite temperature fermionic condensate in a conical space with a circular boundary and magnetic flux

• Main Authors: Saharian, Aram A, de Mello, Eugênio R. Bezerra, Saharyan, Astghik A
• Format: Journal Article
• Language: English
• Published: 30-10-2019
• Subjects: Physics - High Energy Physics - Theory
• DOI: 10.48550/arxiv.1907.04196

Phys. Rev. D 100, 105014 (2019) We investigate the edge effects on the finite temperature fermionic
condensate (FC) for a massive fermionic field in a (2+1)-dimensional conical
spacetime with a magnetic flux located at the cone apex. The field obeys the
bag boundary condition on a circle concentric with the apex. The analysis is
presented for both the fields realizing two irreducible representations of the
Clifford algebra and for general case of the chemical potential. In both the
regions outside and inside the circular boundary, the FC is decomposed into the
boundary-free and boundary-induced contributions. They are periodic functions
of the magnetic flux with the period equal to the flux quantum and even
functions under the simultaneous change of the signs for the magentic flux and
the chemical potential. The dependence of the FC on the magnetic flux becomes
weaker with decreasing planar angle deficit. For points near the boundary, the
effects of finite temperature, of planar angle deficit and of magnetic flux are
weak. For a fixed distance from the boundary and at high temperatures the FC is
dominated by the Minkowskian part. The FC in parity and time-reversal symmetric
(2+1)-dimensional fermionic models is discussed and applications are given to
graphitic cones.