Figure of Merit of One-dimensional Resonant Transmission Systems in the Quantum Regime

Mustafa Ali Ali Çipiloğlu; Sadi Turgut

doi:10.3390/mca14010013

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Article

1 April 2009

Figure of Merit of One-dimensional Resonant Transmission Systems in the Quantum Regime

and

Department of Physics, Celal Bayar University, 45037 Muradiye, Manisa, Turkey

Department of Physics, Middle East Technical University, 06531, Ankara, Turkey

Authors to whom correspondence should be addressed.

Math. Comput. Appl.2009, 14(1), 13-19;https://doi.org/10.3390/mca14010013

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Abstract

The figure of merit, ZT, for a one-dimensional conductor displaying a Lorentzian resonant transmission probability is calculated. The optimum working conditions for largest ZT values are determined. It is found that, the resonance energy has to be adjusted to be several resonance widths away from the Fermi level. Similarly it is better for the temperature to be equal to several resonance widths. The approximate relationships, which can be a fairly good guide for designing devices, between different parameters under optimum working conditions are given.

Keywords:

Figure of Merit; Thermoelectric Effects; Quantum Conductance; Ballistic Transport; Quantum Point Contacts

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