Rotating effects on the Hall conductivity in a quantum dot

2025/04/23 by Carlos Magno O. Pereira, Luís Fernando C. Pereira, Pereira, Carlos Magno O. +5
Physics and Astronomy · #FOS: Physical sciences #Mesoscale and Nanoscale Physics (cond-mat.mes-hall) #Quantum Physics (quant-ph) #Quantum and electron transport phenomena #Semiconductor Quantum Structures and Devices #Surface and Thin Film Phenomena

paper · pdf · doi:10.48550/arxiv.2504.16809

openalex publication_date 2025/04/23 · openalex created_date 2025/10/11 · openalex updated_date 2026/08/03

Abstract

We investigate the behavior of the quantized Hall conductivity in a two-dimensional quantum system under rotating effects, a uniform magnetic field, and an Aharonov-Bohm (AB) flux tube. By varying the angular velocity and the AB flux, we analyze their impact on the formation, shifting, and structure of quantized Hall plateaus. Our results reveal that rotation modifies the energy spectrum, leading to slight shifts in the plateau positions and variations in their widths. Additionally, we identify Aharonov-Bohm-type oscillations in σ_Hall, which become more pronounced for lower values of the cyclotron frequency ω_c, indicating enhanced quantum interference effects in the low-field regime. These oscillations are further modulated by Ω, affecting their periodicity and amplitude. The interplay between the confinement frequency ω₀, the cyclotron frequency ω_c, and the rotational effects plays a crucial role in determining the overall behavior of σ_Hall. Our findings provide insights into the interplay between rotation, magnetic field, and quantum interference effects, which are relevant for experimental investigations of quantum Hall systems in rotating systems.

Citations

• Rotating effects on the photoionization cross-section of a 2D quantum ring
• Optical and electronic properties of a two-dimensional quantum ring under rotating effects
• Conversion between electron spin and microscopic atomic rotation
• Study of electronic properties, Magnetization and persistent currents in a mesoscopic ring by controlled curvature
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• Topological mechanics of gyroscopic metamaterials
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• Rapidly Rotating Atomic Gases
• Rotating trapped Bose-Einstein condensates
• Effect of the surface curvature on the magnetic moment and persistent currents in two-dimensional quantum rings and dots
• Quantized Hall Conductance in a Two-Dimensional Periodic Potential
• Significance of Electromagnetic Potentials in the Quantum Theory

Related

• Effects of rotation on the thermodynamic properties of a quantum dot
• Semi-classical theory of Aharonov-Bohm oscillations under quantized Hall conditions
• A Quantum Spin Hall Round Disk as a Spin Rotator and Filter
• Aharonov-Bohm-Like Oscillations in Quantum Hall Corrals
• Exact treatment of rotation-induced modifications in two-dimensional quantum rings