scholarly journals Fermionic Condensate on Finite Radius Cones

Author(s):  
A. A. Hovhannisyan

The fermionic condensate is investigated for a field localized on a finite radius 2- dimensional cone in the presence of a magnetic flux threading the cone apex. On the edge of the cone a boundary condition is imposed that differs from the MIT bag boundary condition, most frequently used for the confinement of fermions. The fermionic condensate is decomposed into the boundary-free and edge-induced contributions. Both these parts are periodic functions of the magnetic flux with the period equal to the flux quantum.

2012 ◽  
Vol 14 ◽  
pp. 496-500
Author(s):  
A. A. SAHARIAN

The fermionic condensate and current density are investigated in a (2 + 1)-dimensional conical spacetime in the presence of a circular boundary and a magnetic flux. On the boundary the fermionic field obeys the MIT bag boundary condition. For irregular modes, we consider a special case of boundary conditions at the cone apex, when the MIT bag boundary condition is imposed at a finite radius, which is then taken to zero. The condensate and current are periodic functions of the magnetic flux with the period equal to the flux quantum. For both exterior and interior regions, the expectation values are decomposed into boundary-free and boundary-induced parts. In the case of a massless field the boundary-free part in the vacuum expectation value of the charge density vanishes, whereas the presence of the boundary induces nonzero charge density. At distances from the boundary larger than the Compton wavelength of the fermion particle, the condensate and current decay exponentially, with the decay rate depending on the opening angle of the cone.


2021 ◽  
Vol 1889 (2) ◽  
pp. 022076
Author(s):  
Mustakim Jumaev ◽  
Mirzo Sharipov ◽  
Mirzokhid Rizoqulov

2014 ◽  
Vol 490 ◽  
pp. 012218
Author(s):  
J Barba-Ortega ◽  
Miryam R Joya ◽  
Edson Sardella

2001 ◽  
Vol 11 (01) ◽  
pp. 257-305 ◽  
Author(s):  
PAUL BUNYK ◽  
KONSTANTIN LIKHAREV ◽  
DMITRY ZINOVIEV

Rapid Single-Flux-Quantum (RSFQ) logic, based on the representation of digital bits by single quanta of magnetic flux in superconducting loops, may combine several-hundred-GHz speed with extremely low power dissipation (close to 10-18 Joule/bit) and very simple fabrication technology. The drawbacks of this technology include the necessity of deep (liquid-helium-level) cooling of RSFQ circuits and the rudimentary level of the currently available fabrication and testing facilities. The objective of this paper is to review RSFQ device physics and also discuss in brief the prospects of future development of this technology in the light of the tradeoff between its advantages and handicaps.


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