Dimensional crossover in quantum networks: from macroscopic to mesoscopic Physics

Abstract

We report on magnetoconductance measurements of metallic networks of various sizes ranging from 10 to $10^6$ plaquettes, with anisotropic aspect ratio. Both Altshuler-Aronov-Spivak (AAS) $h/2e$ periodic oscillations and Aharonov-Bohm (AB) $h/e$ periodic oscillations are observed for all networks. For large samples, the amplitude of both oscillations results from the incoherent superposition of contributions of phase coherent regions. When the transverse size becomes smaller than the phase coherent length $L_{\varphi }$, one enters a new regime which is phase coherent (mesoscopic) along one direction and macroscopic along the other, leading to a new size dependence of the quantum oscillations.

4 pages, to appear in Phys. Rev. Lett

References in corpus (3)

• Inelastic Scattering Time for Conductance Fluctuations
• Interaction-induced dephasing of Aharonov-Bohm oscillations
• Dephasing due to electron-electron interaction in a diffusive ring

Cited by in corpus (9)

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• Ergodic vs diffusive decoherence in mesoscopic devices
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• Möbius transformations and electronic transport properties of large disorderless networks
• Quantum interference in a macroscopic van der Waals conductor
• Al'tshuler-Aronov correction to the conductivity of a large metallic square network
• Pathways toward understanding Macroscopic Quantum Phenomena
• Four-terminal resistances in mesoscopic networks of metallic wires: Weak localisation and correlations