Periodic orbit effects on conductance peak heights in a chaotic quantum dot

We study the effects of shea-time classical dynamics on the distribution of Coulomb blockade peak heights in a chaotic quantum dot. The location of on e or both leads relative to the short unstable orbits, as well as relative to the symmetry lines, can have large effects on the moments and on the hea d and tail of the conductance distribution. We study these effects analytic ally as a function of the stability exponent of the orbits involved, and al so numerically using the stadium billiard as a model. The predicted behavio r is robust, depending only on the short-time behavior of the many-body qua ntum system, and consequently insensitive to moderate-sized perturbations a nd interactions.