Interference effects and magnetoresistance oscillations in normal-metal networks. 2. Periodicity of the probability distribution

Benoît Douçot , R. Rammal

We study the transmission properties of quasi one dimensional disordered systems in the présence of a magnetic field. For a single loop, the transmission coefficient as a function of the magnetic flux across the loop oscillates with the period h/e for a given realization of disorder and the period h/2 e for the whole probability distribution. For the series of identical connected loops (necklace geometry), we show that the probability distribution has the period h/e at weak disorder, and h/2 e at strong disorder. The case of a twochannel system (ladder geometry) is also investigated in the weak disorder limit, and the period h/e is shown to appear. Our results show that the Altshuler-Aronov-Spivak oscillations with the period h/2 e are recovered if the characteristic length scale associated with disorder (localization length) is less than the perimeter of the loops. The influence of the microscopic features of disorder is outlined and compared with the results of the first paper in this series (Ref. [1]).

Mots clés: localised electron states; magnetoresistance; metals; one dimensional conductivity

Domaines: Articles anciens

Benoît Douçot, R. Rammal. Interference effects and magnetoresistance oscillations in normal-metal networks. 2. Periodicity of the probability distribution. Journal de Physique, 1987, 48 (6), pp.941-956. ⟨10.1051/jphys:01987004806094100⟩. ⟨jpa-00210524⟩