Origin of Quasiperiodicity in Conductance Fluctuations of Soft-Walled Chaotic Quantum Dots

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Assuming that the quantum point contacts (QPCs) connecting the cavity to large reservoirs of source and drain have a transversal profile of harmonic potential that accommodates an extremely narrow Gaussian wave packet as the ground state, we deduce that quantum correction to the lowest mode transmission coefficient can be approximated as a summation over periodic orbits that are well coupled to both the entrance and exit openings. Energy averaging around the Fermi energy gives the damping factor so that only a few shortest periodic orbits contribute to conductance fluctuations. This confirms the experimental and self-consistent numerical results observed recently in quantum dots, that conductance fluctuations are dominated by a few discrete frequencies.

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