Conductance of a Two-Dimensional Electron Gas Due to Current-Carrying Wires
Abstract
In this study, we investigate the two-dimensional gas (2DEG) in a magnetic field due to two current-carrying wires and focus on energy dispersion of a single electron in the 2DEG and the conductance of 2DEG. We find that the directions of the currents in the nano wires result symmetric and asymmetric energy dispersion. The splitting of energies is only found for sufficiently large wave vector in the case of asymmetric energy dispersion. This behavior of energy dispersion can be understood by considering the effective potentials. The quantum conductance of the system is also investigated by varying the magnitude and direction of the currents. It is found that when the currents in the nano wires flow in the same direction, the quantum conductance is greater than that of the system where the currents flow in the opposite direction. Keywords : two-dimensional electron gases, nano wire, quantum conductanceReferences
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Pramjorn, N., Srikom, W., & Amthong, A. (2017). Current-carrying states in the presence of electric and step-like magnetic fields. Superlattices and Microstructures, 111, 241-247.
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Sultanov, Denis B., Vorob’ev, Alexander B., Buldygin, Anatoly F., & Toropov, Alexander I. (2019). Features of Magnetotransport and Microwave Response of Two Dimensional Electron Gas in Sign-Alternating Magnetic Field. In 2019 20th International Conference of Young Specialists on Micro/Nanotechnologies and Electron Devices (EDM). (pp. 11-14). Russia: Erlagol (Altai Republic).
Dorozhkin, S. I., Smet, J. H., Umansky, V., & Klitzing, K. von. (2005). Microwave photoresponse in the two-dimensional electron system caused by intra-Landau-level transitions. PhysRevB, 71, 201306.
Headland, M., & Seymour, P. W. (1975). Drift of a charged particle in a static magnetic field having a power law dependence. Aust. J. Phys, 28, 289.
Muller, J. E. (1992). Effect of a nonuniform magnetic field on a two-dimensional electron gas in the ballistic regime. Phys. Rev. Lett, 68, 385.
Nogaret, A, Bending, S J, & Henini, M. (2000). Resistance Resonance Effects through Magnetic Edge States. Phys. Rev. Lett, 84, 2231.
Peng, Y., Cullis, T., & Lnkson, B. (2008). Accurate electrical testing of individual gold nanowires by in situ scanning electron microscope nanomanipulators. Appl. Phys. Lett, 93, 183112.
Pramjorn, N., Srikom, W., & Amthong, A. (2017). Current-carrying states in the presence of electric and step-like magnetic fields. Superlattices and Microstructures, 111, 241-247.
Reijniers, J, & Peeters, F M. (2000). Snake orbits and related magnetic edge states. J. Phys.: Condens. Matter, 12, 9771.
Seymour, P. W. (1959). Drift of a Charged Particle in a Magnetic Field of Constant Gradient. Aust. J. Phys, 12, 309S.
Sultanov, Denis B., Vorob’ev, Alexander B., Buldygin, Anatoly F., & Toropov, Alexander I. (2019). Features of Magnetotransport and Microwave Response of Two Dimensional Electron Gas in Sign-Alternating Magnetic Field. In 2019 20th International Conference of Young Specialists on Micro/Nanotechnologies and Electron Devices (EDM). (pp. 11-14). Russia: Erlagol (Altai Republic).
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Published
2020-05-01
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