2004•Electronics and Communications in Japan (Part II Electronics)Requires access

Theoretical study on tunneling phenomena in asymmetrical rectangular double‐barrier structures with acceleration well

Hiroki Hamaguchi, Hiroaki Yamamoto, Norifumi Yamada

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Abstract

Abstract As a promising resonant tunneling structure for reduction of tunneling time, the “asymmetric rectangular double‐barrier structure with an acceleration well” is proposed. Analytical expressions are derived for the tunneling transmission coefficient of the electrons and for the resonant condition. Also, the condition for the shortest tunneling time is analytically studied by using the dwell time as the tunneling time. From the resonant condition, the width of each layer can be determined for a given resonant energy. The resultant dwell time is calculated and discussed in terms of both theoretical and numerical analysis. Although the model proposed in this research is an idealized one, the proposed structure and the obtained results are considered useful in the design of tunneling devices in the sense that the tunneling time can be controlled. © 2004 Wiley Periodicals, Inc. Electron Comm Jpn Pt 2, 87(3): 1–11, 2004; Published online in Wiley InterScience ( www.interscience.wiley.com ). DOI 10.1002/ecjb.10197

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Abstract As a promising resonant tunneling structure for reduction of tunneling time, the “asymmetric rectangular double‐barrier structure with an acceleration well” is proposed. Analytical expressions are derived for the tunneling transmission coefficient of the electrons and for the resonant condition. Also, the condition for the shortest tunneling time is analytically studied by using the dwell time as the tunneling time. From the resonant condition, the width of each layer can be determined for a given resonant energy. The resultant dwell time is calculated and discussed in terms of both theoretical and numerical analysis. Although the model proposed in this research is an idealized one, the proposed structure and the obtained results are considered useful in the design of tunneling devices in the sense that the tunneling time can be controlled. © 2004 Wiley Periodicals, Inc. Electron Comm Jpn Pt 2, 87(3): 1–11, 2004; Published online in Wiley InterScience ( www.interscience.wiley.com ). DOI 10.1002/ecjb.10197

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Available abstract

Abstract As a promising resonant tunneling structure for reduction of tunneling time, the “asymmetric rectangular double‐barrier structure with an acceleration well” is proposed. Analytical expressions are derived for the tunneling transmission coefficient of the electrons and for the resonant condition. Also, the condition for the shortest tunneling time is analytically studied by using the dwell time as the tunneling time. From the resonant condition, the width of each layer can be determined for a given resonant energy. The resultant dwell time is calculated and discussed in terms of both theoretical and numerical analysis. Although the model proposed in this research is an idealized one, the proposed structure and the obtained results are considered useful in the design of tunneling devices in the sense that the tunneling time can be controlled. © 2004 Wiley Periodicals, Inc. Electron Comm Jpn Pt 2, 87(3): 1–11, 2004; Published online in Wiley InterScience ( www.interscience.wiley.com ). DOI 10.1002/ecjb.10197

Key concepts: Quantum tunnelling, Dwell time, Transmission coefficient, Rectangular potential barrier, Electron, Acceleration, Condensed matter physics, Physics

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