Archive: 2008 - Moldavian Journal of the Physical Sciences

05 Jul 2008

2008
V. 7
3
(p.292 - 311)

The microscopic theory of the upper critical field Hc2 in two-band systems in the magnetic field directed parallel and perpendicular to the plane (ab). Application to MgB2

Authors:

Palistrant, Maria; Cebotari, Irina; Ursu, Vasile

Summary:

The microscopic superconductivity theory in 2 systems in the magnetic fields directed parallel and perpendicular to the plane (ab) is built. The two energy bands of different dimensions overlapping on the Fermi surface (two-dimensional σ - band and three- dimensional π -band) are taken into account. The theory is built taking into account the weak dispersion of the electron energy of σ -band in z direction. The systems of equations for the superconductive transition temperature c T and the upper critical field ()0 2 ab c H are obtained. The analytic solutions of the equations for ()0 2 ab c H are found in the two temperature areas: nearby the zero temperature 0 c TT

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<meta name="citation_title" content="The microscopic theory of the upper critical field Hc2 in two-band systems in the magnetic field directed parallel and perpendicular to the plane (ab). Application to MgB2">
<meta name="citation_author" content="Palistrant, Maria">
<meta name="citation_author" content="Cebotari, Irina">
<meta name="citation_author" content="Ursu, Vasile">
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dimensions overlapping on the Fermi surface (two-dimensional  σ - band and three-

dimensional π -band) are taken into account. The theory is built taking into account the weak 
dispersion of the electron energy of σ -band in z direction.  
The systems of equations for the superconductive transition temperature  c T  and the upper critical field 
()0
2
ab
c H  are obtained. The analytic solutions of the equations for 
()0
2

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c H  are found in the two temperature areas: nearby the zero temperature  0
c TT <<  and in the vicinity 
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cc TT T −<< . 
The temperature dependencies of the upper critical felds  2 || c H ab
 and  2 || c H c
 on the 

temperature are built, and the anisotropy coefficient  00
22 ||()/ || Hc c H ab H c γ =  is determined. It is 
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BibTeX

@article{ibn_3898,
author = {Palistrant, M.E. and Cebotari, I.D. and Ursu, V.A.},
title = {The microscopic theory of the upper critical field Hc2 in two-band systems in the magnetic field directed parallel and perpendicular to the plane (ab). Application to MgB2},
journal = {Moldavian Journal of the Physical Sciences},
year = {2008},
volume = {7 (3)},
pages = {292-311},
month = {Jul},
abstract = {(EN) The microscopic superconductivity theory in  2  systems in the magnetic fields directed parallel and perpendicular to the plane (ab) is built. The two energy bands of different 

dimensions overlapping on the Fermi surface (two-dimensional  σ - band and three-

dimensional π -band) are taken into account. The theory is built taking into account the weak 
dispersion of the electron energy of σ -band in z direction.  
The systems of equations for the superconductive transition temperature  c T  and the upper critical field 
()0
2
ab
c H  are obtained. The analytic solutions of the equations for 
()0
2

ab
c H  are found in the two temperature areas: nearby the zero temperature  0
c TT <<  and in the vicinity 
of the superconductive transition temperature  00
cc TT T −<< . 
The temperature dependencies of the upper critical felds  2 || c H ab
 and  2 || c H c
 on the 

temperature are built, and the anisotropy coefficient  00
22 ||()/ || Hc c H ab H c γ =  is determined. It is 
shown that the value of  2 || c H ab exceeds greatly the value of  0

2 || c H c  due to the system anisotropy (to small values of the average velocity of electrons in the crystallographic axis direction).  
 },
url = {https://ibn.idsi.md/vizualizare_articol/3898},
}

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dimensions overlapping on the Fermi surface (two-dimensional  σ - band and three-

dimensional π -band) are taken into account. The theory is built taking into account the weak 
dispersion of the electron energy of σ -band in z direction.  
The systems of equations for the superconductive transition temperature  c T  and the upper critical field 
()0
2
ab
c H  are obtained. The analytic solutions of the equations for 
()0
2

ab
c H  are found in the two temperature areas: nearby the zero temperature  0
c TT <<  and in the vicinity 
of the superconductive transition temperature  00
cc TT T −<< . 
The temperature dependencies of the upper critical felds  2 || c H ab
 and  2 || c H c
 on the 

temperature are built, and the anisotropy coefficient  00
22 ||()/ || Hc c H ab H c γ =  is determined. It is 
shown that the value of  2 || c H ab exceeds greatly the value of  0

2 || c H c  due to the system anisotropy (to small values of the average velocity of electrons in the crystallographic axis direction).  
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“ ... ”

SM ISO690:2012

PALISTRANT, Maria; CEBOTARI, Irina; URSU, Vasile. The microscopic theory of the upper critical field Hc2 in two-band systems in the magnetic field directed parallel and perpendicular to the plane (ab). Application to MgB2. In: Moldavian Journal of the Physical Sciences. 2008, nr. 3(7), pp. 292-311. ISSN 1810-648X.