Vortices in type-ll superconductors

Shmidt, Victoria; Mkrtchyan, G. S.

doi:10.3367/ufnr.0112.197403c.0459

Cited by 38 publications

(20 citation statements)

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“…This means that all forces acting on fluxons in a unit volume are mutually counterbalanced at such a critical current value. Thus, the force of interaction of fluxons with the transport critical current per unit volume, which is known to be equal to the Lorentz force f L in unit volume, is counterbalanced by the pinning force per unit volume f p [11]:…”

Section: Magnetic Pinning: Theoreticalmentioning

confidence: 99%

“…The magnetic moment M in this region, calculated taking into account the terms of the order of ln κ 2 /κ 2 (κ = λ/ξ 1), has the form [11] …”

Section: Magnetic Pinning: Theoreticalmentioning

confidence: 99%

“…In addition, we omitted in equation (11) the factor e d/2λ (order of unity, since d λ). Moreover, in (11) we have taken into account that not all ribbon precipitates are parallel to each other and to the magnetic field, as it was previously tacitly assumed. The factor γ < 1 in (11) accounts for the reduction of a fluxon interaction when a ribbon is slanted.…”

Section: Magnetic Pinning: Theoreticalmentioning

confidence: 99%

“…Substituting all found quantities in (11) and taking into account that the volume fraction of the precipitated phase equals ϕ = a · w · l · n, one finds…”

Section: Magnetic Pinning: Theoreticalmentioning

confidence: 99%

“…Since the field H is equal to zero both on the surface of the half-space and in all points infinitely far from the fluxon, that is all over the perimeter of the contour L, the circulation integral goes to zero [11,12]. Finally, we have…”

Section: Appendix a Calculation Of The Fluxon Magnetic Flux In The Vmentioning

confidence: 99%

See 4 more Smart Citations

Lasers—past, present, and future (Interviews with three Nobel laureates in 1982)

Bloembergen¹,

Schawlow²,

Townes³

1992

Sov. J. Quantum Electron.

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A theory of magnetic pinning due to randomly distributed pinning centres in the form of parallel ribbons is developed. The interaction between a vortex and pinning centres is studied with an account of the magnetic field gradient near the ribbon surface. The critical current density and the average bulk pinning force are determined as a function of the magnetic field and normal phase content. A comparison with experimental data confirms the qualitative reliability of the theoretical results.

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Section: Magnetic Pinning: Theoreticalmentioning

confidence: 99%

“…The magnetic moment M in this region, calculated taking into account the terms of the order of ln κ 2 /κ 2 (κ = λ/ξ 1), has the form [11] …”

Section: Magnetic Pinning: Theoreticalmentioning

confidence: 99%

Section: Magnetic Pinning: Theoreticalmentioning

confidence: 99%

“…Substituting all found quantities in (11) and taking into account that the volume fraction of the precipitated phase equals ϕ = a · w · l · n, one finds…”

Section: Magnetic Pinning: Theoreticalmentioning

confidence: 99%

Section: Appendix a Calculation Of The Fluxon Magnetic Flux In The Vmentioning

confidence: 99%

See 3 more Smart Citations

Lasers—past, present, and future (Interviews with three Nobel laureates in 1982)

Bloembergen¹,

Schawlow²,

Townes³

1992

Sov. J. Quantum Electron.

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Torque anisotropy due to crystal defect structure of the superconducting niobium single crystal

Ashimov

Batsankalashvili

Nedzelyak

et al. 1976

Phys. Stat. Sol. (a)

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A mechanical method is used to study the pinning force of Abrikosov's flux lines in cylindrical niobium single crystals at different values of the applied transverse magnetio field. It is shown that a specimen deformation by compression of 40% leads t o an increase of the flux line pinning. It is also shown that a force couple tearing flux lines of their pinning centres is especially large, when the direction of the magnetic field coincides with that of [lrO], and is relatively smaller when the field is directed along [Wl] or [112] in the (110) and (111) planes, respectively. Metallographic and electron microscopic analyses revert1 that the cell boundaries of the single crystal and the dislocations in their limits are mainly oriented along the given directions. MexamsecKo~ MeTonuKoZi m y~a n a c b c m a aa~pennermn [PnmKcoHnoB A6pmonpnnomemoro nonepewioro MarHmHoro ~O J I I I . rIIo~a3a~0, TO ne[PopMamk @JIIOKCOHAOB. IIo~a3aao TaHme, m o napa CHJI, c p~s a m q m [ P J I~K C O H~M c HX aoro no3111 cosnanaeT c HanpameHtreM [lIO] EI OTHocmenbPo Memum, KorAatr (111). MeTamorpa[Pmecmit tr ~~I~K T~~~~~M H K~O C K O~H~~C I E H $~ a~a n m~ BMR-BHJIH, ¶TO rpaHEimI MoaoKpHcTanmmecmx BJIOKOB, a B HX npenenax H nklc.noKa-COBa B UHJIHfInpH%XKElX MOHOKPUCTaJIJIaX H H O~H I I B 3aBHCHMOCTkl OT BeJIUWiHbI o6pasqa CWaTHeM BIIJIOTb A0 40% npHBOnHT K YBeJIvIgeEItrIo CA3IbI 3aHpeIIJIeRHII UCHl' pOB QaKpeITJIeHHII, IIBJIfieTCII oco6eaao 60~1bmo$i, KOrAa HiIIIpaBJIeHHe MamT-IIOJIe HaIIpaBJIeHO BZOJIb [001] H3IH [112], COOTBeTCTBeHHO B IIJIOCKOCTFIX (110) UHH, IIpeHMyIQeCTBe€IEO OpUeHTPipOBaEJd BAOJIb yKta3aZrRMX EanpaBJI€?RuB.

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Mixed state of hollow current‐carrying type II superconductor

Tekiel¹

1987

Physica Status Solidi (b)

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The mixed state of an ideal type II superconductor in the presence of a macroscopic electric current reveals features similar to the Meissner -0chsenfeld effect. Namely, for sufficiently small current intensity the current penetrates only up to finite distance from the sample surface (see /I/ and /2/). In other words, inside the sample r o t B = 0, where B is the magnetic induction obtained from the spatial averaging of the microscopic magnetic field over a volume with characteristic length much larger than h(magnetic field penetration depth).In theoretical papers /3/ and /4/ it has been stated that in the London case (B a Hc2, where Hc2 is the upper critical field) the current penetration depth is equal to 1. + -$The current penetration depth which is much larger than h has been obtained in /5 to 7/ using the thermodynamic approach. The aim of this note is to examine this approach to study the magnetic induction distribution in a hollow curr ent-carr ying cylindrical sample.Let u s assume a hollow cylindrical sample of type 11 super conductor. The sample is placed in a uniform magnetic field He directed parallel to the cylinder axis. The wire carrying the current I is placed on the axis. An electric current I is allowed to flow through the sample parallel to the axis. In such a situation the magnetic field intensity a t the boundary of our sample is given by the following expressions: 0 where HZ and H tively. W e introduce the frame of reference r , z , with z-axis parallel to the sample axis. R and r o are external and inner radii of the sample, respectively. are the z-and ' p -components of the magnetic field, respec-

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Vortices in type-ll superconductors

Cited by 38 publications

References 0 publications

Lasers—past, present, and future (Interviews with three Nobel laureates in 1982)

Lasers—past, present, and future (Interviews with three Nobel laureates in 1982)

Torque anisotropy due to crystal defect structure of the superconducting niobium single crystal

Mixed state of hollow current‐carrying type II superconductor

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