Reflection Symmetric Ballistic Microstructures: Quantum Transport Properties
arXiv:cond-mat/9607155 · doi:10.1103/PhysRevB.54.R14297
Abstract
We show that reflection symmetry has a strong influence on quantum transport properties. Using a random S-matrix theory approach, we derive the weak-localization correction, the magnitude of the conductance fluctuations, and the distribution of the conductance for three classes of reflection symmetry relevant for experimental ballistic microstructures. The S-matrix ensembles used fall within the general classification scheme introduced by Dyson, but because the conductance couples blocks of the S-matrix of different parity, the resulting conductance properties are highly non-trivial.
4 pages, includes 3 postscript figs, uses revtex
References in corpus (5)
- Mesoscopic Transport Through Ballistic Cavities: A Random S-Matrix Theory Approach
- Universal Quantum Signatures of Chaos in Ballistic Transport
- Weak-Localization in Chaotic Versus Non-Chaotic Cavities: A Striking Difference in the Line Shape
- Experimental studies of Chaos and Localization in Quantum Wavefunctions
- On the Inequivalence of Weak-Localization and Coherent Backscattering
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