Giant Oscillations of Energy Levels in Mesoscopic Superconductors

Kopnin, N. B.; Mel’nikov, A. S.; Pozdnyakova, V. I.; Ryzhov, D. A.; Shereshevskii, I. A.; Vinokur, V. M.

doi:10.1103/physrevlett.95.197002

Cited by 29 publications

(38 citation statements)

References 17 publications

Supporting

Mentioning

Contrasting

Unclassified

Order By: Relevance

“…We assume the interchannel electron transfer to be the only normal scattering mechanism at the wire ends (in the opposite limit of the vanishing interchannel transfer, the current-phase relation should be similar to the one for a quantum box studied in Ref. [40]). Thus, we take [41].…”

mentioning

confidence: 97%

Double Path Interference and Magnetic Oscillations in Cooper Pair Transport through a Single Nanowire

Миронов¹,

Mel’nikov²,

Buzdin³

2015

Phys. Rev. Lett.

View full text Add to dashboard Cite

We show that the critical current of the Josephson junction consisting of superconducting electrodes coupled through a nanowire with two conductive channels can reveal the multiperiodic magnetic oscillations. The multiperiodicity originates from the quantum mechanical interference between the channels affected by both the strong spin-orbit coupling and the Zeeman interaction. This minimal two-channel model is shown to explain the complicated interference phenomena observed recently in Josephson transport through Bi nanowires.

show abstract

mentioning

confidence: 97%

Double Path Interference and Magnetic Oscillations in Cooper Pair Transport through a Single Nanowire

Миронов¹,

Mel’nikov²,

Buzdin³

2015

Phys. Rev. Lett.

View full text Add to dashboard Cite

show abstract

“…In particular, the interplay between the Andreev reflection at the core boundary and the normal scattering of quasiparticles at the sample surface results in an oscillatory behavior of the energy levels as functions of the Fermi momentum and the sample lateral size. 16 These conclusions have been recently confirmed also for a graphene channel in contact with a superconducting environment. 17 For a vortex in a mesoscopic sample, the amplitudes of level oscillations can well exceed the CdGM interlevel spacing.…”

Section: Introductionmentioning

confidence: 58%

“…The normal scattering is introduced by the potential V through the factors e i␣ which result in mesoscopic oscillations of the spectrum as functions of momentum and sample size. 16 We employ these equations to study the effects of surface imperfections further in Sec. IV.…”

Section: ͑10͒mentioning

confidence: 99%

“…͑15͒-͑17͒ were obtained in Ref. 16; we reproduce them here for the sake of completeness and convenience. The wave function is…”

Section: B Spectrum Of An Ideal Cylindermentioning

confidence: 99%

“…This contribution is finite even for very low temperatures and is determined by the number of crossings of the constant energy line ϳ T by the oscillating spectrum. Thus this number represents the number of conducting modes N ef f ͑R͒ ϳ N k z N , where N k z is the number of crossings, as a function of k z , of a spectral branch with a given angular momentum , and N is the number of the angular momentum branches that cross this line of energy ϳ T. For large number of modes, i.e., when the oscillation amplitude is larger than 0 we have 16 …”

Section: A Semiclassical Schemementioning

confidence: 99%

See 2 more Smart Citations

Enhanced vortex heat conductance in mesoscopic superconductors

et al. 2007

Self Cite

View full text Add to dashboard Cite

Electronic heat transport along the flux lines in a long ballistic mesoscopic superconductor cylinder with a radius of the order of several coherence lengths is investigated theoretically using both semiclassical approach and the full quantum-mechanical analysis of the Bogoliubov--de Gennes equations. The semiclassical approach is constructed analogously to the Landauer transport theory in mesoscopic conductors employing the idea that heat is carried by the quasiparticle modes propagating along the vortex core. We show that the vortex heat conductance in a mesoscopic sample is strongly enhanced as compared to its value for a bulk superconductor; it grows as the cylinder radius decreases. This unusual behavior results from a strongly increased number of single-particle transport modes due to giant mesoscopic oscillations of energy levels, which originate from the interplay between the Andreev reflection at the vortex core boundary and the normal reflection at the sample edge. We derive the exact quantum-mechanical expression for the heat conductance and solve the Bogoliubov--de Gennes equations numerically. The results of numerical computations confirm the qualitative Landauer-type picture and allow us to take into account the partial reflections of excitations. We analyze the effect of surface imperfections on the spectrum of core excitations. We show that the giant oscillations of core levels and thus the essential features of the heat transport characteristic to ideal mesoscopic samples hold for a broad class of surface imperfections as well.Comment: 12 pages, 7 figure

show abstract

Quantum states and vortex patterns in nanosuperconductors

2013

View full text Add to dashboard Cite

The quanum levels and corresponding vortex states in nanoscale superconductors are investigated within generalized Bogolubov-de Gennes theory. For symmetric (squareshaped) samples thermodynamically stable vortex phases form symmetry-consistent patterns and no transition to conventional Abrikosov-like vortex patterns occurs till T=0K for sizes not exceeding 25 nm. For vorticity L = 2 a giant vortex is stabilized at temperatures in the vicinity of T c , which transforms into a giant antivortex L = −2 and four normal vortices with lowering the temperature. On the other hand, the vortex pattern for vorticity L = 3 corresponds to an antivortex L = −1 and four normal vortices in the whole temperature domain.

show abstract

Giant Oscillations of Energy Levels in Mesoscopic Superconductors

Cited by 29 publications

References 17 publications

Double Path Interference and Magnetic Oscillations in Cooper Pair Transport through a Single Nanowire

Double Path Interference and Magnetic Oscillations in Cooper Pair Transport through a Single Nanowire

Enhanced vortex heat conductance in mesoscopic superconductors

Quantum states and vortex patterns in nanosuperconductors

Contact Info

Product

Resources

About