Indian Journal of Science and Technology

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Conduction of Electrons in Quantum Wires of Circular Cross-Section


Affiliations
1 Department of Applied Sciences, The North Cap University, HUDA Sector 23-A, Gurgaon - 122017, Haryana, India
2 Indian Institute of Technology- Delhi, Hauz Khas, Delhi – 110016,New Delhi, India
3 School of Physics, Sambalpur University, Sambalpur – 768019,Odisha, India
4 National Institute of Technology, Durgapur - 713209, West Bengal, India
 

Objectives: Quantum wires are one-dimensional (1-D) material that exhibit length to width ratios of about 1000 or more. The properties of quantum wire are due to the electrons in them have quantized energy levels perpendicular to their lengths. Such quantum confinement effect exhibits discrete values of electrical conductance which are integral multiples of (e2/h). Methods/ Analysis: In this paper we present a quantum mechanical analysis of evaluation of the electron energy eigen states and their corresponding eigen functions in a quantum wire of circular cross-section. Findings: The energy eigen values of quantum wires of different radii are calculated. Applications: On the basis of our preliminary analysis it has been observed that quantum wires can also be used as electronic energy filters.

Keywords

Energy filters, Quantum confinement, Quantum wire.
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  • Conduction of Electrons in Quantum Wires of Circular Cross-Section

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Authors

Pranati Purohit
Department of Applied Sciences, The North Cap University, HUDA Sector 23-A, Gurgaon - 122017, Haryana, India
Dilip Kumar Roy
Indian Institute of Technology- Delhi, Hauz Khas, Delhi – 110016,New Delhi, India
Shankar Prasad Pati
School of Physics, Sambalpur University, Sambalpur – 768019,Odisha, India
Sukadev Sahoo
National Institute of Technology, Durgapur - 713209, West Bengal, India

Abstract


Objectives: Quantum wires are one-dimensional (1-D) material that exhibit length to width ratios of about 1000 or more. The properties of quantum wire are due to the electrons in them have quantized energy levels perpendicular to their lengths. Such quantum confinement effect exhibits discrete values of electrical conductance which are integral multiples of (e2/h). Methods/ Analysis: In this paper we present a quantum mechanical analysis of evaluation of the electron energy eigen states and their corresponding eigen functions in a quantum wire of circular cross-section. Findings: The energy eigen values of quantum wires of different radii are calculated. Applications: On the basis of our preliminary analysis it has been observed that quantum wires can also be used as electronic energy filters.

Keywords


Energy filters, Quantum confinement, Quantum wire.



DOI: https://doi.org/10.17485/ijst%2F2016%2Fv9i48%2F138364