<i>Superfluidity and Superconductivity</i>

Tilley, D. R.; Tilley, John J.; Zimmermann, W.

doi:10.1119/1.14980

Cited by 170 publications

(105 citation statements)

References 0 publications

Supporting

Mentioning

102

Contrasting

Unclassified

Order By: Relevance

“…[24]) that though superfluidity is a quantum effect, superfluid vortices behave like classical vortices. It is further claimed that the main difference between classical and quantum vortex motion is the quantization of superfluid circulation; it can however be easily deduced from the convergence theory for vortex approximations (see e.g.…”

Section: Superfluid Vortices and The Xy Modelmentioning

confidence: 99%

Vortex phase transitions in 21/2 dimensions

Chorin

1994

J Stat Phys

View full text Add to dashboard Cite

Section: Superfluid Vortices and The Xy Modelmentioning

confidence: 99%

Vortex phase transitions in 21/2 dimensions

Chorin

1994

J Stat Phys

View full text Add to dashboard Cite

“…This is physical mechanism of the renormalization of the order parameter (14,20) by the external pair potential. Small coherence length and strong fluctuations in this model shows similarity with superfluid He II [23]. Apparently due to the strong fluctuations such regime of superconductivity is possible in 3D systems only.…”

Section: Free Energy Functionalmentioning

confidence: 79%

BCS theory with the external pair potential

Grigorishin

2017

Physics Letters A

View full text Add to dashboard Cite

-b Metrolohichna str. Kiev-03680, Ukraine.We consider a hypothetical substance, where interaction between (within) structural elements of condensed matter (molecules, nanoparticles, clusters, layers, wires etc.) depends on state of Cooper pairs: an additional work must be made against this interaction to break a pair. Such a system can be described by BCS Hamiltonian with the external pair potential term. In this model the potential essentially renormalizes the order parameter: if the pairing lowers energy of the structure the energy gap is slightly enlarged at zero temperature and asymptotically tends to zero as temperature rises. Thus the critical temperature of such a superconductor is equal to infinity formally. For this case the effective Ginzburg-Landau theory is formulated, where the coherence length decreases as temperature rises, the GL parameter and the second critical field are increasing functions of temperature unlike the standard theory. If the pairing enlarges energy of the structure then suppression of superconductivity and the first order phase transition occur.

show abstract

“…The normal-to-superfluid 'lambda transition' at a temperature of about 2 K in liquid 4 He is another example of a symmetry-breaking phase transitions in a bosonic system [4]. But unlike the case of alkali metal vapours, this is a system with strong interparticle interactions that substantially change the picture.…”

Section: Liquid Helium-4mentioning

confidence: 99%

“…At larger values of |k| the graph curves downwards to a minimum; excitations near the minimum are called rotons. A useful description of 4 He is provided by the Ginzburg-Landau model [4], which may also be applied to other systems. The starting point is to consider the free energy, F say, as a function of the order parameter φ.…”

Section: Liquid Helium-4mentioning

confidence: 99%