Superconductivity

Ketterson, J. B.; Song, S. N.

doi:10.1017/cbo9781139171090

Cited by 330 publications

(217 citation statements)

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“…The bibliography of works on the GL theory of the vortex matter is so extensive that there, no doubt, many important papers and even directions are missed in this brief outline. Some of them however can be found in books (Ketterson and Song, 1999;Kopnin, 2001;Larkin and Varlamov, 2005;Saint-James et al, 1969;Tinkham, 1996) and reviews (Blatter et al, 1994;Brandt, 1995;Giamarchi and Bhattacharya , 2002;Nattermann and Scheidl, 2000).…”

Section: Summary and Perspectivementioning

confidence: 99%

Ginzburg-Landau theory of type II superconductors in magnetic field

2010

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Thermodynamics of type II superconductors in electromagnetic field based on the GinzburgLandau theory is presented. The Abrikosov flux lattice solution is derived using an expansion in a parameter characterizing the "distance" to the superconductor -normal phase transition line. The expansion allows a systematic improvement of the solution. The phase diagram of the vortex matter in magnetic field is determined in detail. In the presence of significant thermal fluctuations on the mesoscopic scale (for example in high Tc materials) the vortex crystal melts into a vortex liquid. A quantitative theory of thermal fluctuations using the lowest Landau level approximation is given. It allows to determine the melting line and discontinuities at melt, as well as important characteristics of the vortex liquid state. In the presence of quenched disorder (pinning) the vortex matter acquires certain "glassy" properties. The irreversibility line and static properties of the vortex glass state are studied using the "replica" method. Most of the analytical methods are introduced and presented in some detail. Various quantitative and qualitative features are compared to experiments in type II superconductors, although the use of a rather universal Ginzburg -Landau theory is not restricted to superconductivity and can be applied with certain adjustments to other physical systems, for example rotating Bose -Einstein condensate.

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Section: Summary and Perspectivementioning

confidence: 99%

Ginzburg-Landau theory of type II superconductors in magnetic field

2010

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“…The current density is assumed homogeneous within each thin strip, although it may vary from strip to strip. The free energy of this system is the sum of the magnetostatic energy of the currents and the kinetic energy of the electrons [23], and can be written in the form…”

Section: A Applied Currents In the Quadrupole Wiresmentioning

confidence: 99%

Impact of the Meissner effect on magnetic microtraps for neutral atoms near superconducting thin films

et al. 2008

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We theoretically evaluate changes in the magnetic potential arising from the magnetic field near superconducting thin films. An example of an atom chip based on a three-wire configuration has been simulated in the superconducting and the normal conducting state. Inhomogeneous current densities within the superconducting wires were calculated using an energy-minimization routine based on the London theory. The Meissner effect causes changes to both trap position and oscillation frequencies at short distances from the superconducting surface. Superconducting wires produce much shallower micro traps than normal conducting wires. The results presented in this paper demonstrate the importance of taking the Meissner effect into account when designing and carrying out experiments on magnetically trapped neutral atoms near superconducting surfaces.

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“…A better physical picture of the BCS-BEC crossover can be given by calculating the average pair coherence length or the mean pair radius R rms . It is defined by the following relation [38],…”

Section: Bcs-bec Crossover In a D-wave Superconductormentioning

confidence: 99%

Electron pairing and evidence of a BCS–BEC crossover in d-wave superconductors

Das¹,

Khan²,

Basu³

2013

Physica B: Condensed Matter

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We have demonstrated that it is possible to access a crossover scenario starting with a weak coupling (BCS) d-wave superconductor to a strongly coupled Bose-Einstein condensate (BEC) phase as the exchange interaction is tuned in a two dimensional system described by a t-J-U model via numerically solving the Bogoliubov-de Gennes (BdG) equations. While in the extreme dilute limit, the electronic pairing phenomena is independent of the Coulomb repulsion, U , the superconductivity depends on U , and so does the crossover. Further, the effect of variation in the carrier density on the BCS-BEC crossover has also been investigated. The crossover picture is illustrated by computing the chemical potential, which when falls below the noninteracting band minimum, signals the onset of a phase with tightly bound, shorter pairs. As an evidence of the above feature, the Cooper pair radius is calculated which shows a significant shortening at the emergence of a BEC-like phase. Besides, in contrast to the previous work where a crossover was claimed only in the dilute limit, we have demonstrated it at large densities near half filling.

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Superconductivity

Cited by 330 publications

References 0 publications

Ginzburg-Landau theory of type II superconductors in magnetic field

Ginzburg-Landau theory of type II superconductors in magnetic field

Impact of the Meissner effect on magnetic microtraps for neutral atoms near superconducting thin films

Electron pairing and evidence of a BCS–BEC crossover in d-wave superconductors

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