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Quantum chaotic features of the spin-orbit coupled excitons in disordered two-dimensional insulators
V A Stephanovich1, E V Kirichenko1, K Książek1
1Institute of Physics, <a href="https://ror.org/04gbpnx96">University of Opole</a>, Oleska 48, 45-052, Opole, Poland.
Physical Review. E
|September 19, 2024
Summary
We explore how disorder and spin-orbit coupling (SOC) affect exciton spectra in 2D semiconductors. Their combined effect can induce quantum chaotic features, controllable via SOC, Coulomb interaction, and fractional disorder.
Area of Science:
- Condensed matter physics
- Quantum mechanics
- Materials science
Background:
- Exciton spectra in 2D semiconductors are crucial for optoelectronic applications.
- Disorder and spin-orbit coupling (SOC) are known to influence electronic properties.
- Understanding their interplay is key to designing novel quantum devices.
Purpose of the Study:
- To investigate the synergistic effects of disorder and SOC on exciton spectra in 2D semiconductors.
- To explore the emergence of quantum chaotic features in these systems.
- To identify control mechanisms for these chaotic behaviors.
Main Methods:
- Phenomenological modeling of disorder using Riesz fractional derivatives in the Schrödinger equation.
- Analytical and numerical methods to solve the modified Schrödinger equation.
- Analysis of exciton energy levels and adjacent level distance distribution.
Main Results:
- The combined effect of fractional disorder and SOC significantly alters the exciton spectra compared to ordinary systems.
- Non-Poissonian statistics in adjacent level distances suggest the emergence of quantum chaos.
- The Lévy index μ characterizes the degree of fractional disorder.
Conclusions:
- Disorder and SOC synergy can induce and control quantum chaotic features in 2D semiconductor exciton spectra.
- Fractional calculus provides a novel approach to model disorder effects.
- Tunable quantum chaos opens possibilities for advanced quantum information technologies.
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