Abstract
The Aharonov-Bohm effect allows one to demonstrate the physical meaningfulness of magnetic vector potential by passing the current in zero magnetic field regions. In the standard (a {\em two-slit-like}) setup a conducting ring is pierced by magnetic flux and the quantum interference for an electron passing simultaneously the two ring arms is observed. Here we show, by analyzing the transport via evanescent waves, that the ballistic Corbino disk in graphene subjected to a solenoid magnetic potential may exhibit the conductance oscillations of the Aharonov-Bohm kind although the current flows through a single conducting element only.
Highlights
Quantum transport through the Corbino disk in graphene has been addressed both theoretically [1,2,3,4,5,6,7] and experimentally [8,9,10,11,12] by numerous authors, as the egde-free geometry allows one to probe the mesoscopic aspects of graphene, such as transport via evanescent waves [13], even in nanometerscale devices
1 cosh2[ln(R2/R1)( j where d = π (R22 − R12)B is the flux piercing the disk with a uniform magnetic field B, and 0 = 2(h/e) ln(R2/R1) defines the conductance-oscillation period
Further analysis shows that the formula equivalent to Eq (1) can be derived if the carrier concentration is adjusted to any Landau level, En = sgn(n)vF 2|n|eB, with n = 0, ±1, ±2, . . . , and vF ≈ 106 m/s being the energy-independent Fermi velocity in graphene
Summary
Quantum transport through the Corbino disk in graphene has been addressed both theoretically [1,2,3,4,5,6,7] and experimentally [8,9,10,11,12] by numerous authors, as the egde-free geometry allows one to probe the mesoscopic aspects of graphene, such as transport via evanescent waves [13], even in nanometerscale devices. Conductance of ultraclean ballistic disks as a fuction of the carrier concentration [10] shows good agreement with the basic mode-matching analysis of Ref. Where d = π (R22 − R12)B is the flux piercing the disk with a uniform magnetic field B, and 0 = 2(h/e) ln(R2/R1) defines the conductance-oscillation period. Uniform magnetic fields, being most feasible to generate at micrometer scale, do not seem to provide a realistic opportunity to observe magnetoconductance oscillations in graphene-based Corbino disks. We focus on the case of a disk whose inner area is pierced by a long solenoid (see Fig. 1), generating the flux i Earlier, it was shown by Katsnelson [3,24] that for zero doping (EF = 0) the transmission probabilities are given
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