+ Resolve Article
+ Follow Us
Follow on FacebookFollow on Facebook
Follow on TwitterFollow on Twitter

+ Translate
+ Subscribe to Site Feed
GeoScience Most Shared ContentMost Shared Content

Semiclassical gaps in the density of states of chaotic Andreev billiards

, : Semiclassical gaps in the density of states of chaotic Andreev billiards. Physical Review Letters 104(2): 027001-027001

The connection of a superconductor to a chaotic ballistic quantum dot leads to interesting phenomena, most notably the appearance of a hard gap in its excitation spectrum. Here we treat such an Andreev billiard semiclassically where the density of states is expressed in terms of the classical trajectories of electrons (and holes) that leave and return to the superconductor. We show how classical orbit correlations lead to the formation of the hard gap, as predicted by random matrix theory in the limit of negligible Ehrenfest time tau{E}, and how the influence of a finite tau{E} causes the gap to shrink. Furthermore, for intermediate tau{E} we predict a second gap below E=pi variant Planck's/2pi/2tau{E} which would presumably be the clearest signature yet of tau{E} effects.


PMID: 20366617

DOI: 10.1103/PhysRevLett.104.027001

Other references

Keleti, T., 1968: Effect of steric changes in the protein on the kinetics of enzymic reactions. II. Steady-state treatment of reactions with one substrate. Acta Biochimica et Biophysica; Academiae Scientiarum Hungaricae 3(3): 247-258

Obiekezie, A.I., 1986: Goussia ethmalotis n.sp. (Apicomplexa: Sporozoea), a coccidian parasite of the West African Shad, Ethmalosa fimbriata Bowditch 1825, (Pisces: Clupeidae). Goussia ethmalotis n.sp. is described from the liver of E. fimbriata caught in the Cross River Estuary, Nigeria. The oocysts are 30 to 37 micro m, regular, spherical and the oocyst residuum is absent. The sporocysts are 12 micro m (10-13 micro ) x...

Barrack, G., 1985: Etched cast restorations. Quintessence International 16(1): 27-34

Libich, M.; Gzik, W.; Niedzielska, H.; Chizyński, Z., 1972: Mass Shigella flexneri type 3a infections at the City Hospital in Lódź. Przeglad Epidemiologiczny 26(1): 61-66

Bass L.S.; Treat M.R.; O.M.C.; Trokel S.L., 1989: Comparison of pulsed thulium holmium chromium yag with continuous wave neodymium yag for ablation of colonic mucosa. Lasers in Surgery & Medicine 9(6): 631

Garbett, R.; Hardy, S.; Manley, K.; Titchen, A.; McCormack, B., 2007: Developing a qualitative approach to 360-degree feedback to aid understanding and development of clinical expertise. This paper presents one aspect of a 5-year multicentre action research study to develop an accreditation process for clinical nursing expertise. Part of the process consisted of the exploration, critique and refinement of qualitative 360-degree fe...

Peck, A.J., 1969: Entrapment, stability and persistence of air bubbles in soil water. Air bubbles (affecting hydraulic conductivity and moisture content at a given capillary potential) are unstable in saturated soils, as their pressure exceeds atmospheric pressure resulting in diffusive flux of dissolved air. Bubbles may be stable...

Beck; Muir D.; Jolly L., 1993: Outlook for world coal trade. With a look at potential Asian and European markets, and emission controls.

Martin, J.G.; Beaudet, J.M.; Dordick, J.S.; Linhardt, R.J., 2010: Artificial organelles: digital microfluidic platform for proteoglycan and glycoprotein biosynthesis. Thescientificworldjournal 10: 997-1000

Carrera, M.; Combalia, N.; Griñó, J.M.; Castelao, A.M., 1988: HLA-DR antigen expression on tubular and endothelial cells from fine-needle aspiration cytology. Transplantation Proceedings 20(4): 610-611