Survival of ${\Phi }_0/2$ periodicity in presence of incoherence in asymmetric Aharonov-Bohm rings

Abstract

Magneto conductance oscillations periodic in flux with periodicity ${\Phi }_0$ and ${\Phi }_0/2$ are seen in asymmetric Aharonov-Bohm rings as a function of density of electrons or Fermi wave vector. Dephasing of these oscillations is incorporated using a simple approach of wave attenuation. In this work we study how the excitation of the ${\Phi }_0/2$ oscillations and the accompanying phase change of $\pi$ are affected by dephasing. Our results show that the ${\Phi }_0/2$ oscillations survive incoherence, i.e., dephasing, albeit with reduced visibility while incoherence is also unable to obliterate the phase change of $\pi$.

arXiv comment4 pages, 3 figures

References in corpus (8)

• Voltage-probe and imaginary potential models for dephasing in a chaotic quantum dot
• Observation of Quantum Asymmetry in an Aharonov-Bohm Ring
• Charge densities and charge noise in mesoscopic conductors
• Comparison between the two models of dephasing in mesoscopic systems
• Dephasing via stochastic absorption: A case study in Aharonov-Bohm oscillations
• Modelling of Stochastic Absorption in a Random Medium
• Dephasing in semiconductor-superconductor structures by coupling to a voltage probe
• Wave attenuation to clock sojourn times

Cited by in corpus (3)

• Magnetic Fields Effects on the Electronic Conduction Properties of Molecular Ring Structures
• Strain designed Josephson $\pi$ junction qubits with topological insulators
• A comparative study of two phenomenological models of dephasing in series and parallel resistors