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Updated: May 31, 2026
08:23
Finite Element Modelling of a Cellular Electric Microenvironment
Published on: May 18, 2021
Current density in generalized Fibonacci superlattices under a uniform electric field
P Panchadhyayee1, R Biswas, Arif Khan
1Prabhat Kumar College, Contai, Purba Medinipur, WB 721401, India. Department of Physics and Technophysics, Vidyasagar University, Midnapore 721102, India.
Summary
This study explores electrical conduction in GaAs-Al(y)Ga(1-y)As Fibonacci superlattices. Quasi-periodic structures show potential for precise electronic circuitry due to sharp negative differential conductivity peaks.
Area of Science:
- Condensed Matter Physics
- Materials Science
- Quantum Mechanics
Background:
- Superlattices, such as those made from Gallium Arsenide (GaAs) and Aluminum Gallium Arsenide (Al(y)Ga(1-y)As), are crucial in semiconductor device physics.
- Understanding electron transport in quasi-periodic structures is key to developing advanced electronic components.
Purpose of the Study:
- To investigate tunneling and electrical conduction in electrically biased GaAs-Al(y)Ga(1-y)As generalized Fibonacci superlattices.
- To analyze the behavior of current density in quasi-periodic multibarrier systems.
Main Methods:
- Utilizing transfer matrix formalism combined with an Airy function approach.
- Performing exact calculations of current density for quasi-periodic multibarrier systems.
Main Results:
- Demonstrated resonance-type peaks and negative differential conductivity (NDC) regimes.
- Observed that quasi-periodicity enhances the sharpness of NDC peaks compared to periodic superlattices.
- Identified potential applications in band-pass or band-eliminator circuitry with extremely low bandwidth.
Conclusions:
- GaAs-Al(y)Ga(1-y)As generalized Fibonacci superlattices exhibit unique electronic transport properties.
- The enhanced NDC peaks in quasi-periodic systems offer significant advantages for device applications.
- These findings suggest novel pathways for designing high-performance electronic circuits.
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