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Thin Film of a Superfluid Fermi System in a Magnetic Field

100%
Harań G., Borkowski L.
Acta Physica Polonica A
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1991
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vol. 80
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issue 1
47-60
EN
We study the problem of a thin film of neutral fermions in the presence of a magnetic field and scattering on random, uncorrelated irregularities at the boundaries of the film. An attractive interaction of s-wave type is assumed. We solve the equation for the energy gap and demonstrate its dependence on both the field and the scattering strength. The phase diagram is found. There exists a critical point (T_{c}^{*}, H_{c}^{*}). For temperatures below T_{c}^{*} the phase transition is of the first order and of the second order above it. As expected, the surface scattering significantly reduces the values of the critical field and temperature T_{c}. The critical point changes its position with increasing scattering rate but is not removed from the phase diagram until superfluidity is destroyed.
2
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Conditions for the Cooper Pair Creation in 2- up to 3-Dimensional Fermi Liquids

100%
Gonczarek R., Mulak M.
Acta Physica Polonica A
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1994
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vol. 86
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issue 6
929-938
EN
We reconsider the Pfitzner and Wölfle results concerning the quasi-particle scattering amplitude in Fermi liquid and adopt them to the sufficiently low-temperature and flat-confined systems, where solely two types of quasi--particle interactions are permitted. We find relations between the pairing interaction and Landau parameters and establish plain criteria for the creation of singlet or triplet Cooper pairs. Moreover, we present methods allowing us to estimate values of interaction parameters and transition temperatures in flat-confined systems basing on their bulk parameters. The obtained results are in agreement with experimental data for helium-3 and its films and explain an absence of superconductivity in alkali metals.
3
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The Influence of Surface Roughness on Equilibrium States of Superfluid ^{3}He in Confined Geometry

63%
Gonczarek R., Krzyżanowski I.
Acta Physica Polonica A
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1991
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vol. 80
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issue 4
553-569
EN
The superfluid ^{3}He is considered in confined geometry for arbitrary thickness when surface roughness is taken into account. The equilibrium states, the critical size when the two-dimensional state is realized exclusively, and the critical thickness below which superfluidity is destroyed are defined, found and discussed with reference to the essential parameters of a system. Some particular cases are examined analytically. The examples of exact numerical solutions are presented.
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