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Volumn 64, Issue 7, 2001, Pages

Pumped current and voltage for an adiabatic quantum pump

Author keywords

[No Author keywords available]

Indexed keywords

ARTICLE; CHAOTIC DYNAMICS; CONDUCTANCE; ELECTRIC POTENTIAL; ELECTRON TRANSPORT; QUANTUM CHEMISTRY; STATISTICAL ANALYSIS; THEORY;

EID: 0035881908     PISSN: 10980121     EISSN: 1550235X     Source Type: Journal    
DOI: 10.1103/PhysRevB.64.075304     Document Type: Article
Times cited : (64)

References (30)
  • 5
    • 85038915722 scopus 로고    scopus 로고
    • For reviews, see L.P. Kouwenhoven, C.M. Marcus, P.L. McEven, S. Tarucha, R.M. Westervelt, and N.S. Wingreen, in Mesoscopic Electron Transport, edited by L.L. Sohn, L.P. Kouwenhoven, and G. Schön (Kluwer, Dordrecht, 1997);
    • For reviews, see L.P. Kouwenhoven, C.M. Marcus, P.L. McEven, S. Tarucha, R.M. Westervelt, and N.S. Wingreen, in Mesoscopic Electron Transport, edited by L.L. Sohn, L.P. Kouwenhoven, and G. Schön (Kluwer, Dordrecht, 1997);
  • 16
    • 85038899966 scopus 로고    scopus 로고
    • A detailed exposition of the definitions of (electro)chemical potential, bias voltage, and self-consistent potential can be found in the work by M. Büttiker and T. Christen, in Quantum Transport in Semiconductor Submicron Structures, edited by B. Kramer, Vol. 326 of NATO Advanced Studies Institute (Kluwer, Dordrecht, 1996)
    • A detailed exposition of the definitions of (electro)chemical potential, bias voltage, and self-consistent potential can be found in the work by M. Büttiker and T. Christen, in Quantum Transport in Semiconductor Submicron Structures, edited by B. Kramer, Vol. 326 of NATO Advanced Studies Institute (Kluwer, Dordrecht, 1996).
  • 20
    • 85038892556 scopus 로고    scopus 로고
    • cond-mat/0103008 (unpublished). Even for single-channel point contacts, one has (Formula presented), and the quantitative effect of these corrections is small
    • Corrections to the self-consistent description are small as (Formula presented) where (Formula presented) is the total number of channels connecting the dot to the reservoirs, including spin degeneracy, see I.L. Aleiner, P.W. Brouwer, and L.I. Glazman, cond-mat/0103008 (unpublished). Even for single-channel point contacts, one has (Formula presented), and the quantitative effect of these corrections is small.
    • Aleiner, I.L.1    Brouwer, P.W.2    Glazman, L.I.3
  • 24
    • 36149017915 scopus 로고
    • The matrix (Formula presented) is the Wigner-Smith time-delay matrix, see E.P. Wigner, Phys. Rev. 98, 145 (1955); and
    • (1955) Phys. Rev. , vol.98 , pp. 145
    • Wigner, E.P.1
  • 26
    • 85038929794 scopus 로고    scopus 로고
    • The numerical method to generate random matrices according to the distribution (18) is outlined in J.N.H.J. Cremers and P.W. Brouwer (unpublished)
    • The numerical method to generate random matrices according to the distribution (18) is outlined in J.N.H.J. Cremers and P.W. Brouwer (unpublished).
  • 28
    • 85038917034 scopus 로고    scopus 로고
    • The tails of the distribution depend on the value of the capacitance C. In the non-interacting limit (Formula presented) and (Formula presented), they read (Formula presented) for (Formula presented) and (Formula presented) for (Formula presented)
    • The tails of the distribution depend on the value of the capacitance C. In the non-interacting limit (Formula presented) and (Formula presented), they read (Formula presented) for (Formula presented) and (Formula presented) for (Formula presented).
  • 30
    • 85038896666 scopus 로고    scopus 로고
    • For single-channel contacts (Formula presented) (Formula presented) is expressed in terms of the scattering matrix S as (Formula presented). Since (Formula presented) under reversal of a magnetic field B, this equation results in (Formula presented). There is no such magnetic field symmetry of the pumped voltage for (Formula presented)
    • For single-channel contacts (Formula presented) (Formula presented) is expressed in terms of the scattering matrix S as (Formula presented). Since (Formula presented) under reversal of a magnetic field B, this equation results in (Formula presented). There is no such magnetic field symmetry of the pumped voltage for (Formula presented).


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