.png){kind=icon}
.png){kind=icon}
Return
Finite-element modeling of fractional quantum transport and optical response in coupled quantum dot-ring nanostructures with donor impurities
.png){kind=icon}
PRE
AI
S
Z
M
DOI：10.1007/s10825-026-02533-4.png)
.png){kind=icon}
Original request for help.png){kind=icon}
Share.png){kind=icon}
Save
Abstract
En 中文
We develop a finite-element computational framework for modeling fractional quantum transport in semiconductor nanostructures using the fractional effective mass Schr & ouml;dinger equation. The method is applied to a singly ionized double donor (D-2(+) ) confined in a GaAs/AlGaAs coupled quantum dot-ring structure under Aharonov-Bohm flux, Rashba spin-orbit coupling, hydrostatic pressure, and external electric fields. The fractional kinetic operator (0 < alpha <= 2) is implemented via its Dirichlet integral representation within an adaptive finite-element scheme combined with shift-invert Lanczos eigensolvers. Numerical convergence is verified through mesh refinement and recovery of the classical limit as alpha -> 2. Simulations show that decreasing alpha enhances donor binding, increases bonding-antibonding splitting, strengthens localization, and suppresses ring-mediated tunneling. Fractional dispersion attenuates Aharonov-Bohm oscillations and modifies Rashba-induced spin splitting. Optical absorption calculated from the computed eigenstates exhibits redshifts and enhanced nonlinear response for reduced alpha. These results demonstrate the stable integration of nonlocal fractional operators in realistic nanoelectronic geometries and provide a computational tool for analyzing generalized quantum transport in confined semiconductor systems.
Keywords:
Fractional Schr & ouml
dinger equation
Fractional quantum transport
Donor impurities
Coupled quantum dot-ring nanostructures
Aharonov-Bohm effect
Rashba spin-orbit coupling
Hydrostatic pressure
Nonlinear optical response
Journal
IF:
2.5
Papers:
132
Citations:
2.9K
Organization
No organization information available
Cited Papers