@ARTICLE{ISI:000177911700117,
  author = {Cserti, J and Bodor, A and Koltai, J and Vattay, G},
  title = {Excitation spectra for Andreev billiards of box and disk geometries},
  journal = {Physical Review B},
  year = {2002},
  volume = {66},
  pages = {064528},
  number = {6},
  abstract = {We study Andreev billiards of box and disk geometries by matching
	the wave functions at the interface of the normal and the superconducting
	region using the exact solutions of the Bogoliubov-de Gennes equation.
	The mismatch in the Fermi wave numbers and the effective masses of
	the normal system and the superconductor, as well as the tunnel barrier
	at the interface are taken into account. A Weyl formula (for the
	smooth part of the counting function of the energy levels) is derived.
	The exact quantum mechanical calculations show equally spaced singularities
	in the density of states. Based on the Bohr-Sommerfeld quantization
	rule a semiclassical theory is proposed to understand these singularities.
	For disk geometries two kinds of states can be distinguished: states
	either contribute through whispering gallery modes or are Andreev
	states strongly coupled to the superconductor. Controlled by two
	relevant material parameters, three kinds of energy spectra exist
	in disk geometry. The first is dominated by Andreev reflections,
	the second, by normal reflections in an annular disk geometry. In
	the third case the coherence length is much larger than the radius
	of the superconducting region, and the spectrum is identical to that
	of a full disk geometry.},
  doi = {10.1103/PhysRevB.66.064528},
  issn = {1098-0121},
  keywords = {Transport ; Andreev reflection ; semiclassical},
  mount = {AUG 1},
  unique-id = {ISI:000177911700117},
  url = {http://prola.aps.org/pdf/PRB/v66/i6/e064528}
}