2000/10/21 by Hui Hu, Jia-Lin Zhu, Jia‐Lin Zhu +2 · 2 citations
Chemistry · Engineering · Physics and Astronomy · #Advancements in Semiconductor Devices and Circuit Design #Aharonov–Bohm effect #Atomic physics #Biexciton #Chemistry #Condensed matter physics #Coulomb #Electron #Exciton #Hamiltonian (control theory) #Magnetic field #Physics #Quantum and electron transport phenomena #Quantum mechanics #Ring (chemistry) #Semiconductor Quantum Structures and Devices #cond-mat.mes-hall #cond-mat.mtrl-sci
paper · pdf · doi:10.1103/physrevb.63.195307
published as Phys. Rev. B 63, 195307 (2001) · 10 pages, 9 ps figures, submitted to Physcial Review B
arxiv created 2000/10/21 · openalex publication_date 2001/04/18 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
The magnetic field effects on excitons in an InAs nanoring are studied theoretically. By numerically diagonalizing the effective-mass Hamiltonian of the problem that can be separated into terms in center-of-mass and relative coordinates, we calculate the low-lying excitonic energy levels and oscillator strengths as a function of the ring width and the strength of an external magnetic field. It is shown that in the presence of Coulomb correlation, the so-called Aharonov-Bohm effect of excitons exists in a finite (but small) width nanoring. However, when the ring width becomes large, the non-simply-connected geometry of nanorings is destroyed, causing the suppression of the Aharonov-Bohm effect. The analytical results are obtained for a narrow-width nanoring in which the radial motion is the fastest one and adiabatically decoupled from the azimuthal motions. The conditional probability distribution calculated for the low-lying excitonic states allows identification of the presence of the Aharonov-Bohm effect. The linear optical susceptibility is also calculated as a function of the magnetic field, to be compared with the future measurements of optical emission experiments on InAs nanorings.