Suppression of Weak Localization Due to Magnetic Flux in Few-Channel Ballistic Microstructures

Abstract

Using a random-matrix model for the Hamiltonian of a ballistic microstructure, which is chaotic in the classical limit, maximizing the coupling to the external leads, and employing Landauer's formula and Efetov's supersymmetry technique, we derive an expression for the magnetic-flux dependence of weak localization. This expression describes the crossover from orthogonal to unitary symmetry, depends only on the number of channels and on the magnetic flux through the structure, and is expected to apply universally.