Nonlinear peltier effect and thermoconductance in nanowires

Physical Review B - Condensed Matter and Materials Physics

Volumn 60, Issue 16, 1999, Pages 11678-11682

  Bogachek, E N ^a   Scherbakov, A G ^a   Landman, Uzi ^a  

^a GEORGIA INSTITUTE OF TECHNOLOGY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 4243338290     PISSN: 10980121     EISSN: 1550235X     Source Type: Journal    
DOI: 10.1103/PhysRevB.60.11678     Document Type: Article

References (25)

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17. Effects of the cross-sectional shape of 3D quantum nanowires on the electric conductance have been discussed in E. N. Bogachek, A. G. Scherbakov, and U. Landman, Phys. Rev. B 56, 1065 (1997). In that study it has been shown that deviations from circular symmetry (e.g., elliptical cross-sections) can affect the positions and degeneracies of the transverse energy levels (conducting channels), with a consequent effect on the step structure of the quantized electric conductance; for classical point contacts area preserving changes of the cross-sectional shapes affect the conductance values through the Weyl corrections to the Sharvin (Ref. 2) conductance formula [see discussion following Eq. (5)] which depends only on the cross-sectional area. Consequently, such shape-effects may modify only the positions and heights of the steps in the quantized electronic and thermal conductances and similarly the peak positions of the Peltier coefficients, but otherwise they do not change the trends and conclusions discussed in this paper.
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24. From the definition in Eq. (6), (Formula presented) is given by the derivative of the heat current (Formula presented) with respect to (Formula presented) under the condition of vanishing electric current (Formula presented) Evaluation of (Formula presented) proceeds by first solving Eq. (1) for (Formula presented) with (Formula presented) and (Formula presented) and then using this value in subsequent calculation of the integrals in the expression for the derivative of (Formula presented) [see Eq. (2)] with respect to (Formula presented) in conjunction with the transmission probabilities [Eq. (12)].
25. Deviations from the Wiedemann-Franz law in two-dimensional semiconducting constrictions were discussed in Refs. 3 and 4.