scholarly journals Fermionic current densities induced by magnetic flux in a conical space with a circular boundary

2010 ◽  
Vol 82 (8) ◽  
Author(s):  
E. R. Bezerra de Mello ◽  
V. B. Bezerra ◽  
A. A. Saharian ◽  
V. M. Bardeghyan
Keyword(s):  
Magnetic Flux ◽  
Circular Boundary ◽  
Current Densities

scholarly journals Induced vacuum bosonic current in a compactified cosmic string spacetime

2016 ◽  
Vol 41 ◽  
pp. 1660117 ◽  
Author(s):  
E. A. F. Bragança ◽  
H. F. Santana Mota ◽  
E. R. Bezerra de Mello
Keyword(s):  
Magnetic Flux ◽  
Cosmic String ◽  
Wave Functions ◽  
Complete Set ◽  
Current Densities

We analyze the bosonic current densities induced by a magnetic flux running along an idealized cosmic string considering that the coordinate along its axis is compactified. We also consider the presence of a magnetic flux enclosed by the compactificatified axis. To develop this analysis, we calculate the complete set of normalized bosonic wave functions obeying a quasiperiodicity condition along the compactified dimension. We show that in this context only the azimuthal and axial currents take place.

scholarly journals Fermionic Casimir densities in a conical space with a circular boundary and magnetic flux

2012 ◽  
Vol 85 (4) ◽  
Author(s):  
E. R. Bezerra de Mello ◽  
F. Moraes ◽  
A. A. Saharian
Keyword(s):  
Magnetic Flux ◽  
Circular Boundary

Calculation of magnetic flux profiles and deduction of critical current densities for type II superconductors

1991 ◽  
Vol 27 (2) ◽  
pp. 1379-1382 ◽  
Author(s):  
J.R. Cave ◽  
P.R. Critchlow ◽  
P. Lambert ◽  
B. Champagne
Keyword(s):  
Magnetic Flux ◽  
Critical Current ◽  
Type Ii ◽  
Type Ii Superconductors ◽  
Current Densities

FERMIONIC CONDENSATE AND INDUCED CURRENT IN A CONICAL SPACE WITH A CIRCULAR BOUNDARY AND MAGNETIC FLUX

2012 ◽  
Vol 14 ◽  
pp. 496-500
Author(s):  
A. A. SAHARIAN
Keyword(s):  
Boundary Condition ◽  
Magnetic Flux ◽  
Charge Density ◽  
Vacuum Expectation ◽  
Vacuum Expectation Value ◽  
Opening Angle ◽  
Finite Radius ◽  
Current Decay ◽  
Circular Boundary ◽  
Cone Apex

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.

Thickness and roughness dependence of magnetic flux penetration and critical current densities in YBa2Cu3O7−δ thin films

1996 ◽  
Vol 266 (3-4) ◽  
pp. 235-252 ◽  
Author(s):  
Ch. Jooss ◽  
A. Forkl ◽  
R. Warthmann ◽  
H.-U. Habermeier ◽  
B. Leibold ◽  
...  
Keyword(s):  
Thin Films ◽  
Magnetic Flux ◽  
Critical Current ◽  
Flux Penetration ◽  
Current Densities

Induced fermionic current by a magnetic flux in a cosmic string spacetime at finite temperature

2016 ◽  
Vol 31 (02n03) ◽  
pp. 1641021
Author(s):  
Eugênio R. Bezerra de Mello ◽  
Aram A. Saharian ◽  
Azadeh Mohammadi
Keyword(s):  
Magnetic Flux ◽  
Periodic Function ◽  
Cosmic String ◽  
Finite Temperature ◽  
Chemical Potential ◽  
Vacuum Expectation ◽  
Expectation Values ◽  
Quantum Flux ◽  
Current Densities ◽  
Azimuthal Current

Here we analyze the finite temperature expectation values of the charge and current densities for a massive fermionic quantum field with nonzero chemical potential [Formula: see text], induced by a magnetic flux running along the axis of an idealized cosmic string. These densities are decomposed into the vacuum expectation values and contributions coming from the particles and antiparticles. Specifically the charge density is an even periodic function of the magnetic flux with the period equal to the quantum flux and an odd function of the chemical potential. The only nonzero component of the current density corresponds to the azimuthal current and it is an odd periodic function of the magnetic flux and an even function of the chemical potential. Both analyzed are developed for the cases where [Formula: see text] is smaller than the mass of the field quanta [Formula: see text].

scholarly journals Induced fermionic current in AdS spacetime in the presence of a cosmic string and a compactified dimension

2020 ◽  
Vol 80 (10) ◽  
Author(s):  
S. Bellucci ◽  
W. Oliveira dos Santos ◽  
E. R. Bezerra de Mello
Keyword(s):  
Magnetic Flux ◽  
Cosmic String ◽  
Vacuum Expectation ◽  
Vacuum Expectation Value ◽  
Axial Current ◽  
De Sitter ◽  
Twisted Field ◽  
Compact Dimension ◽  
Ads Spacetime ◽  
Current Densities

AbstractIn this paper, we consider a massive charged fermionic quantum field and investigate the current densities induced by a magnetic flux running along the core of an idealized cosmic string in the background geometry of a 5-dimensional anti-de Sitter spacetime, assuming that an extra dimension is compactified. Along the compact dimension quasi-periodicity condition is imposed on the field with a general phase. Moreover, we admit the presence of a magnetic flux enclosed by the compactified axis. The latter gives rise to Ahanorov–Bohm-like effect on the vacuum expectation value of the currents. In this setup, only azimuthal and axial current densities take place. The former presents two contributions, with the first one due to the cosmic string in a 5-dimensional AdS spacetime without compact dimension, and the second one being induced by the compactification itself. The latter is an odd function of the magnetic flux along the cosmic string and an even function of the magnetic flux enclosed by the compactified axis with period equal to the quantum flux. As to the induced axial current, it is an even function of the magnetic flux along the string’s core and an odd function of the magnetic flux enclosed by the compactification perimeter. For untwisted and twisted field along compact dimension, the axial current vanishes. The massless field case is presented as well some asymptotic limits for the parameters of the model.

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

2019 ◽  
Vol 100 (10) ◽  
Author(s):  
Aram A. Saharian ◽  
Eugênio R. Bezerra de Mello ◽  
Astghik A. Saharyan
Keyword(s):  
Magnetic Flux ◽  
Finite Temperature ◽  
Circular Boundary
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