Aharonov-Bohm and Relativistic Corbino Effects in Graphene: A Comparative Study of Two Quantum Interference Phenomena

• Authors: A. Rycerz
• Languages of publication: EN

Abstracts

EN

This is an analytical study of magnetic fields effects on the conductance, the shot noise power, and the third charge-transfer cumulant for the Aharonov-Bohm rings and the Corbino disks in graphene. The two distinct physical mechanisms lead to very similar magnetotransport behaviors. Differences are unveiled when discussing the third-cumulant dependence on magnetic fields.

Keywords

EN

72.80.Vp; 73.43.Qt; 73.63.-b

Discipline

• 73.63.-b: Electronic transport in nanoscale materials and structures(see also 73.23.-b Electronic transport in mesoscopic systems)
• 72.80.Vp: Electronic transport in graphene
• 73.43.Qt: Magnetoresistance(see also 75.47.-m Magnetotransport phenomena; materials for magnetotransport in magnetic properties and materials)

• Journal: Acta Physica Polonica A
• Year: 2012
• Volume: 121
• Issue: 5-6
• Pages: 1242-1245

Dates

published

2012-05

Contributors

author

A. Rycerz

• Instytut Fizyki im. Mariana Smoluchowskiego, Uniwersytet Jagielloński, W.S. Reymonta 4, PL-30-059 Kraków, Poland

References

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• 14. Typically, Γp ≪ 1 as for graphene rings with irregular edges there are only evenascent modes present in each of the ring arms at zero and weak dopings, see Refs. [7, 8]
• 15. More generally, for centrosymmetric field $B = B(r)ê_z$, the parameter $ϕ= Φ_{12}/Φ_0$ in Eq. (7) is replaced by [10]: $ϕ' ≡ Φ_1/Φ_{AB} + 4π/Φ_0 ∫_{r_1}^{r_2} dr/r ∫_{r_1}^{r} dr'r'B (r)$, where $Φ_1$ is flux through the inner ring ($r<r_1$). In particular, if B(r)=0 for $r>r_1$, the Aharonov-Bohm-like oscillations occur when varying $Φ_1$

Identifiers

DOI

10.12693/APhysPolA.121.1242