Electronic transport through ballistic chaotic cavities: reflection symmetry, direct processes, and symmetry breaking

Abstract

We extend previous studies on transport through ballistic chaotic cavities with spatial left-right (LR) reflection symmetry to include the presence of direct processes. We first analyze fully LR-symmetric systems in the presence of direct processes and compare the distribution w(T) of the transmission coefficient T with that for an asymmetric cavity with the same "optical" S matrix. We then study the problem of "external mixing" of the symmetry caused by an asymmetric coupling of the cavity to the outside. We first consider the case where symmetry breaking arises because two symmetrically positioned waveguides are coupled to the cavity by means of asymmetric tunnel barriers. Although this system is asymmetric with respect to the LR operation, it has a striking memory of the symmetry of the cavity it was constructed from. Secondly, we break LR symmetry in the absence of direct proceses by asymmetrically positioning the two waveguides and compare the results with those for the completely asymmetric case.

15 pages, 8 Postscript figures, submitted to Phys. Rev. B

References in corpus (4)

• Distributions of the Conductance and its Parametric Derivatives in Quantum Dots
• Interference Phenomena in Electronic Transport Through Chaotic Cavities: An Information-Theoretic Approach
• Experimental investigation of universal parametric correlators using a vibrating plate
• Mode Fluctuation Distribution for Spectra of Superconducting Microwave Billiards

Cited by in corpus (9)

• Universal transport properties of open microwave cavities with and without time-reversal symmetry
• Semiclassical transport in nearly symmetric quantum dots I: symmetry-breaking in the dot
• Transport in chaotic quantum dots: effects of spatial symmetries which interchange the leads
• Shot Noise in Ballistic Quantum Dots with a Mixed Classical Phase Space
• Semiclassical transport in nearly symmetric quantum dots II: symmetry-breaking due to asymmetric leads
• Equivalence between the mobility edge of electronic transport on disorderless networks and the onset of chaos via intermittency in deterministic maps
• Effect of the spatial reflection symmetry on the distribution of the parametric conductance derivative in ballistic chaotic cavities
• Statistical fluctuations of the parametric derivative of the transmission and reflection coefficients in absorbing chaotic cavities
• Scattering of Elastic Waves in a Quasi-one-dimensional Cavity: Theory and Experiment