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Volumn 59, Issue 3, 1999, Pages 2079-2094

Thomas–fermi–dirac–von weizsäcker hydrodynamics in laterally modulated electronic systems

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Indexed keywords


EID: 0000849523     PISSN: 10980121     EISSN: 1550235X     Source Type: Journal    
DOI: 10.1103/PhysRevB.59.2079     Document Type: Article
Times cited : (43)

References (45)
  • 2
    • 85038318749 scopus 로고    scopus 로고
    • Physics and Technology of Submicron Structures, Vol. 83 of Springer Series in Solid-State Science, edited by H. Heinrich, G. Bauer, and F. Kuchar (Springer-Verlag, Berlin, 1988)
    • Physics and Technology of Submicron Structures, Vol. 83 of Springer Series in Solid-State Science, edited by H. Heinrich, G. Bauer, and F. Kuchar (Springer-Verlag, Berlin, 1988).
  • 4
    • 0004258034 scopus 로고
    • Academic Press, Boston W.P. Kirk
    • Nanostructures and Mesoscopic Systems, edited by W.P. Kirk and M.A. Reed (Academic Press, Boston, 1992).
    • (1992) Nanostructures and Mesoscopic Systems
  • 33
  • 37
    • 84918011580 scopus 로고
    • A. V. Chaplik, Zh. Éksp. Teor. Fiz. 60, 1845 (1971) [Sov. Phys. JETP 33, 947 (1971)];
    • (1971) Sov. Phys. JETP , vol.33 , pp. 947
    • Chaplik, A.V.1
  • 40
    • 85038298360 scopus 로고    scopus 로고
    • Since internal fields can do no net work on the system [see, for example, the discussion by P. C. Martin in Many-Body Physics, edited by C. De Witt and R. Balian (Gordon Breach, New York, 1968)], the power absorption remains unchanged if (Formula presented) in Eq. (44) is replaced by (Formula presented) where (Formula presented) is the total force appearing in the velocity equation. This equivalence was checked numerically. We stress that the use of (Formula presented) the sum of the external and induced electric fields, instead of (Formula presented) is justified when only electromagnetic fields determine the dynamics of the electrons, which is not the case within the TFDW description
    • Since internal fields can do no net work on the system [see, for example, the discussion by P. C. Martin in Many-Body Physics, edited by C. De Witt and R. Balian (Gordon Breach, New York, 1968)], the power absorption remains unchanged if (Formula presented) in Eq. (44) is replaced by (Formula presented) where (Formula presented) is the total force appearing in the velocity equation. This equivalence was checked numerically. We stress that the use of (Formula presented) the sum of the external and induced electric fields, instead of (Formula presented) is justified when only electromagnetic fields determine the dynamics of the electrons, which is not the case within the TFDW description.
  • 41
    • 85038282794 scopus 로고    scopus 로고
    • The mode is actually gapless at (Formula presented) for all (Formula presented) values (see the 1-2 branch in Fig. 1111). Figure 1212 shows the (Formula presented) dispersion for the limiting values of (Formula presented) and (Formula presented)
    • The mode is actually gapless at (Formula presented) for all (Formula presented) values (see the 1-2 branch in Fig. 1111). Figure 1212 shows the (Formula presented) dispersion for the limiting values of (Formula presented) and (Formula presented)
  • 42
    • 85038298755 scopus 로고    scopus 로고
    • For a single wire of width (Formula presented) the plasmon frequency behaves as 6811 (Formula presented) For a pair of such wires, the out-of-phase plasmon has a linear dispersion (Ref. 11). The (Formula presented) mode should behave in a similar way
    • For a single wire of width (Formula presented) the plasmon frequency behaves as6811 (Formula presented) For a pair of such wires, the out-of-phase plasmon has a linear dispersion (Ref. 11). The (Formula presented) mode should behave in a similar way.


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