Classical orbit bifurcation and quantum interference in mesoscopic magnetoconductance

Abstract

We study the magnetoconductance of electrons through a mesoscopic channel with antidots. Through quantum interference effects, the conductance maxima as functions of the magnetic field strength and the antidot radius (regulated by the applied gate voltage) exhibit characteristic dislocations that have been observed experimentally. Using the semiclassical periodic orbit theory, we relate these dislocations directly to bifurcations of the leading classes of periodic orbits.

4 pages, including 5 figures. Revised version with clarified discussion and minor editorial changes

References in corpus (4)

• Symmetry Breaking and Bifurcations in the Periodic Orbit Theory: I: Elliptic Billiard
• Periodic orbits near bifurcations of codimension two: Classical mechanics, semiclassics, and Stokes transitions
• Quantum chaos with non-periodic, complex orbits in the Resonant Tunneling Diode
• Semiclassical Origin of Superdeformed Shell Structure in the Spheroidal Cavity Model

Cited by in corpus (4)

• Periodic-Orbit Bifurcations and Superdeformed Shell Structure
• Quantum Mechanical Approach to Bifurcation Point Detection in Hamiltonian Dynamical Systems
• Semiclassical description of shell effects in finite fermion systems
• Bifurcation cascades and self-similarity of periodic orbits with analytical scaling constants in Henon-Heiles type potentials