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Nano Letters
Volumn 6, Issue 12, 2006, Pages 2935-2938
Local electron heating in nanoscale conductors
Author keywords

[No Author keywords available]
Indexed keywords

ELECTRON HEATING; ELECTRON-PHONON SCATTERING; IONIC HEATING; NANOSCALE CONDUCTORS;
EID: 33846382383     PISSN: 15306984     EISSN: None     Source Type: Journal    
DOI: 10.1021/nl062316w     Document Type: Article
Times cited : (68)
References (29)
  • 1
    • 16244372190 scopus 로고    scopus 로고
    • Di Ventra, M, Evoy, S, Heflin, J. R, Eds, Kluwer Academics: Boston
    • Introduction to Nanoscale Science and Technology, Di Ventra, M., Evoy, S., Heflin, J. R., Eds.: Kluwer Academics: Boston, 2004.
    • (2004) Introduction to Nanoscale Science and Technology
  • 9
    • 33846363488 scopus 로고    scopus 로고
    • The linear relation between thermal conductivity and specific heat in metallic quantum point contacts has been verified experimentally in: Molekamp, L. W, Gravier, T, van Houten, H, Buijk, O. J. A, Mabesoone, M. A. A. Phys. Rev. Lett. 1992, 68, 3765
    • The linear relation between thermal conductivity and specific heat in metallic quantum point contacts has been verified experimentally in: Molekamp, L. W.; Gravier, T.; van Houten, H.; Buijk, O. J. A.: Mabesoone, M. A. A. Phys. Rev. Lett. 1992, 68, 3765.
  • 11
  • 17
    • 33846355952 scopus 로고    scopus 로고
    • Equation 5 can also be derived from first principles for the electron liquid applying a similar approach that was used to derive the quantum Navier-Stokes equations 3 see ref 11
    • Equation 5 can also be derived from first principles for the electron liquid applying a similar approach that was used to derive the quantum Navier-Stokes equations 3 (see ref 11).
  • 19
    • 33846383306 scopus 로고    scopus 로고
    • In eq 8 we are assuming that the temperature variations are small so that the density fluctuations due to temperature can be neglected
    • In eq 8 we are assuming that the temperature variations are small so that the density fluctuations due to temperature can be neglected.
  • 20
    • 33846353452 scopus 로고    scopus 로고
    • We assume that the system is in local thermal equilibrium; thus local thermodynamic quantities such as energy and entropy densities can be defined
    • We assume that the system is in local thermal equilibrium; thus local thermodynamic quantities such as energy and entropy densities can be defined.
  • 21
    • 33846361310 scopus 로고    scopus 로고
    • It is well-known that for a translationally invariant electron, liquid η(ω=0) diverges for small temperatures as 1/Te2, See: Abrikosov, A. A, Khalatnikov, I. M. Rep. Prog. Phys. 1959, 22, 330, The presence of the nanojunction breaks translational invariance thus putting an effective cut-off to this divergence. We can see this as follows. In an ideal electron liquid the divergence of η can be understood by bearing in mind that η is related via a Kramers-Kronig relation to the value of the shear modulus μ∞. We thus have μ∞, f dωη(ω)/π ∝ η(ω=0)/τ where τ is the quasi-particle lifetime, which in an ideal electron liquid diverges as 1/Te2 However, the constriction introduces another lifetime τc due to the elastic scattering with the junction 8 which cuts-off the divergence of η(ω=0) via the relation
    • c.
  • 25
    • 33846381583 scopus 로고    scopus 로고
    • θ(x) - 1 if x > 0, θ(0) = 1/2, and 0 otherwise.
    • θ(x) - 1 if x > 0, θ(0) = 1/2, and 0 otherwise.
  • 26
    • 33846380868 scopus 로고    scopus 로고
    • In this hydrodynamic picture, the Fermi velocity does not contribute to the fluid velocity, the former being an incoherent part of the electron motion.
    • In this hydrodynamic picture, the Fermi velocity does not contribute to the fluid velocity, the former being an "incoherent" part of the electron motion.
  • 27
    • 33846336024 scopus 로고    scopus 로고
    • 2(x) given in eq 11.
    • 2(x) given in eq 11.

* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.