We investigate the behavior of the quantized Hall conductivity in a
two-dimensional quantum system under rotating effects, a uniform magnetic
champ, 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 $\sigma_{\text{Hall}}$, which become more pronounced for lower
values of the cyclotron frequency $\omega_c$, indicating enhanced quantum
interference effects in the low-field regime. These oscillations are further
modulated by $\Omega$, affecting their periodicity and amplitude. The interplay
between the confinement frequency $\omega_0$, the cyclotron frequency
$\omega_c$, and the rotational effects plays a crucial role in determining the
overall behavior of $\sigma_{\text{Hall}}$. 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.

Cet article explore les excursions dans le temps et leurs implications.

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