K. Nakamura et al., MAGNETOCONDUCTANCE IN OPEN BILLIARDS - COMPARISON BETWEEN CIRCLE AND STADIUM, Journal of physics. A, mathematical and general, 27(17), 1994, pp. 5889-5896
A comparative study is presented on quantum transports in weakly opene
d circle and stadium billiards in the perpendicular magnetic field B.
While in the circle the magnetoconductance g(B) shows grossly regular
oscillations, in the stadium it exhibits a transition from mild to vio
let undulations with increase of B. The rich fluctuation features of g
(B), characterized by gradients of the cusp-like central peaks in auto
correlation functions, are attributed to the stability and instability
of phase space in the underlying classical dynamics.