Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Semiclassical Theory of Integrable and Rough Andreev Billiards   We study the effect on the density of states in mesoscopic ballistic
billiards to which a superconducting lead is attached. The expression for the
density of states is derived in the semiclassical S-matrix formalism shedding
insight into the origin of the differences between the semiclassical theory and
the corresponding result derived from random matrix models. Applications to a
square billiard geometry and billiards with boundary roughness are discussed.
The saturation of the quasiparticle excitation spectrum is related to the
classical dynamics of the billiard. The influence of weak magnetic fields on
the proximity effect in rough Andreev billiards is discussed and an analytical
formula is derived. The semiclassical theory provides an interpretation for the
suppression of the proximity effect in the presence of magnetic fields as a
coherence effect of time reversed trajectories, similar to the weak
localisation correction of the magneto-resistance in chaotic mesoscopic
systems. The semiclassical theory is shown to be in good agreement with quantum
mechanical calculations.

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The categories of this paper are: patt-sol
35
The categories of this paper are: mtrl-th
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The categories of this paper are: hep-lat
7
The categories of this paper are: hep-th
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The categories of this paper are: atom-ph
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The categories of this paper are: solv-int
37
The categories of this paper are: supr-con
6
The categories of this paper are: astro-ph
36
The categories of this paper are: cmp-lg
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The categories of this paper are: nucl-ex
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The categories of this paper are: nucl-th
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The categories of this paper are: adap-org
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The categories of this paper are: math-ph
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The categories of this paper are: acc-phys
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The categories of this paper are: comp-gas
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The categories of this paper are: hep-ex