scholarly journals Quantal Andreev billiards: Density of states oscillations and the spectrum-geometry relationship

2002 ◽  
Vol 65 (20) ◽  
Author(s):  
İnanç Adagideli ◽  
Paul M. Goldbart
Keyword(s):  
Density Of States ◽  
Andreev Billiards

scholarly journals Semiclassical Gaps in the Density of States of Chaotic Andreev Billiards

2010 ◽  
Vol 104 (2) ◽  
Author(s):  
Jack Kuipers ◽  
Daniel Waltner ◽  
Cyril Petitjean ◽  
Gregory Berkolaiko ◽  
Klaus Richter
Keyword(s):  
Density Of States ◽  
Andreev Billiards

scholarly journals Density of states of chaotic Andreev billiards

2011 ◽  
Vol 83 (19) ◽  
Author(s):  
Jack Kuipers ◽  
Thomas Engl ◽  
Gregory Berkolaiko ◽  
Cyril Petitjean ◽  
Daniel Waltner ◽  
...  
Keyword(s):  
Density Of States ◽  
Andreev Billiards

scholarly journals Logarithmic contribution to the density of states of rectangular Andreev billiards

2003 ◽  
Vol 67 (17) ◽  
Author(s):  
A. Kormányos ◽  
Z. Kaufmann ◽  
J. Cserti ◽  
C. J. Lambert
Keyword(s):  
Density Of States ◽  
Logarithmic Contribution ◽  
Andreev Billiards

scholarly journals Density of states and the energy gap in Andreev billiards

1998 ◽  
Vol 58 (9) ◽  
pp. 5783-5788 ◽  
Author(s):  
A. Lodder ◽  
Yu. V. Nazarov
Keyword(s):  
Density Of States ◽  
Energy Gap ◽  
Andreev Billiards

scholarly journals QUANTAL ANDREEV BILLIARDS: SEMICLASSICAL APPROACH TO MESOSCALE OSCILLATIONS IN THE DENSITY OF STATES

2002 ◽  
Vol 16 (10) ◽  
pp. 1381-1458 ◽  
Author(s):  
İNANÇ ADAGIDELI ◽  
PAUL M. GOLDBART
Keyword(s):  
Density Of States ◽  
Normal State ◽  
Level Density ◽  
Energy Eigenvalue ◽  
Short Wave ◽  
Spectral Geometry ◽  
Quasiclassical Approximation ◽  
Geometrical Shape ◽  
Quasiparticle Excitations ◽  
Andreev Billiards

Andreev billiards are finite, arbitrarily-shaped, normal-state regions, surrounded by superconductor. At energies below the superconducting gap, single-quasiparticle excitations are confined to the normal region and its vicinity, the essential mechanism for this confinement being Andreev reflection. This Paper develops and implements a theoretical framework for the investigation of the short-wave quantal properties of these single-quasiparticle excitations. The focus is primarily on the relationship between the quasiparticle energy eigenvalue spectrum and the geometrical shape of the normal-state region, i.e. the question of spectral geometry in the novel setting of excitations confined by a superconducting pair-potential. Among the central results of this investigation are two semiclassical trace formulas for the density of states. The first, a lower-resolution formula, corresponds to the well-known quasiclassical approximation, conventionally invoked in settings involving superconductivity. The second, a higher-resolution formula, allows the density of states to be expressed in terms of: (i) An explicit formula for the level density, valid in the short-wave limit, for billiards of arbitrary shape and dimensionality. This level density depends on the billiard shape only through the set of stationary-length chords of the billiard and the curvature of the boundary at the endpoints of these chords; and (ii) Higher-resolution corrections to the level density, expressed as a sum over periodic orbits that creep around the billiard boundary. Owing to the fact that these creeping orbits are much longer than the stationary chords, one can, inter alia, "hear" the stationary chords of Andreev billiards.

DENSITY OF STATES EFFECTS IN ALLOYS OF SmS WITH YS AND SmAs

1976 ◽  
Vol 37 (C4) ◽  
pp. C4-241-C4-248 ◽  
Author(s):  
S. VON MOLNAR ◽  
T. PENNEY ◽  
F. HOLTZBERG
Keyword(s):  
Density Of States

DISORDER INDUCED DENSITY OF STATES WITHIN THE BAND GAP

1981 ◽  
Vol 42 (C4) ◽  
pp. C4-59-C4-62
Author(s):  
H. Leschke ◽  
B. Kramer
Keyword(s):  
Band Gap ◽  
Density Of States
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