Quantum tunneling in graphene Corbino disk in a solenoid magnetic potential with wedge disclination

TL;DR

This paper studies how wedge disclinations affect quantum tunneling, conductance, and Fano factor oscillations in a graphene Corbino disk under magnetic flux, revealing modifications in oscillation periods and amplitudes.

Contribution

It introduces the impact of wedge disclinations on quantum transport properties in graphene Corbino disks, including modifications to oscillation behaviors and resonance effects.

Findings

Disclinations alter transmission oscillation amplitudes.

Oscillation periods depend on the disclination index n.

Disclinations reduce conductance oscillation amplitudes.

Abstract

We investigate the wedge disclination effect on quantum tunneling of a Corbino disk in gapped-graphene of inner $R_1$ and outer $R_2$ radii in the presence of magnetic flux $\Phi_i$. We solve Dirac equation for different regions and obtain the solutions of energy spectrum in terms of Hankel functions. The asymptotic behaviors for large arguments allow us to determine the transmission, Fano factor and conductance. We establish the case where the crystal symmetry is modified locally by replacing a hexagon by pentagon, square, heptagon or octagon. We show that the wedge disclination $n$ modifies the amplitude of transmission oscillations. We find that the period of Fano factor oscillations is of the Aharonov-Bohm type, which strongly depends on $n$ where intense peaks are observed. As another result, $n$ changes the minimum and period of conductance oscillations of the Aharonov-Bohm type. We show that $n$ minimizes the effect of resonance and decreases the amplitude of conductance magnitude $\Delta G$ oscillations.