PERSISTENT CURRENT FLUX CORRELATIONS CALCULATED BY QUANTUM CHAOLOGY

Citation
Mv. Berry et Jp. Keating, PERSISTENT CURRENT FLUX CORRELATIONS CALCULATED BY QUANTUM CHAOLOGY, Journal of physics. A, mathematical and general, 27(18), 1994, pp. 6167-6176
Citations number
10
Categorie Soggetti
Physics
ISSN journal
03054470
Volume
27
Issue
18
Year of publication
1994
Pages
6167 - 6176
Database
ISI
SICI code
0305-4470(1994)27:18<6167:PCFCCB>2.0.ZU;2-A
Abstract
We consider classically chaotic systems with the topology of a ring th readed by quantum flux phi. Using semiclassical asymptotics, we calcul ate the flux-averaged autocorrelation function C(phi) of slopes of the energy levels (persistent currents), normalized by the mean level spa cing, for flux values differing by phi. Our result furnishes the unifo rm approximation C(phi) approximate to - sin(2)(pi phi) - 1/w(2)/[sin (2)(pi phi) + 1/w(2)](2). Here w*, the RMS winding number of the clas sical periodic orbits whose period is connected by Heisenberg's relati on to the mean level spacing, is a (large) semiclassical parameter, of order 1/(h) over bar((D-1)/2) for a system with D freedoms.