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Volumn 53, Issue 11, 1996, Pages 7035-7054

Semiclassical analysis of the quantum interference corrections to the conductance of mesoscopic systems

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EID: 0000512598     PISSN: 10980121     EISSN: 1550235X     Source Type: Journal    
DOI: 10.1103/PhysRevB.53.7035     Document Type: Article
Times cited : (46)

References (53)
  • 4
    • 35949013199 scopus 로고
    • the semiclassical argument is given in the Introduction
    • P. A. Lee, A. D. Stone and H. Fukuyama, Phys. Rev. B 35, 1039 (1987); the semiclassical argument is given in the Introduction.
    • (1987) Phys. Rev. B , vol.35 , pp. 1039
    • Lee, P.1    Stone, A.2    Fukuyama, H.3
  • 15
    • 0000416425 scopus 로고
    • K. B. Efetov, Phys. Rev. Lett. 74, 2299 (1995), and references therein.
    • (1995) Phys. Rev. Lett. , vol.74 , pp. 2299
    • Efetov, K.1
  • 24
    • 0038763234 scopus 로고
    • Some authors have gone as far as stating that WL is not a semiclassical phenomenon: see, e.g., M. B. Hastings, A. D. Stone and H. U. Baranger, Phys. Rev. B 50, 8230 (1994).
    • (1994) Phys. Rev. B , vol.50 , pp. 8230
    • Hastings, M.1    Stone, A.2    Baranger, H.3
  • 34
    • 0001124816 scopus 로고
    • For finite ω there are three modifications of this formula: (a) both terms are multiplied by (Formula presented); (b) the energy integration variable is shifted, so that &εtilde; +ℏω replaces ε in the Fermi functions [for example, the symmetric term has &εtilde; =0, i.e., ((Formula presented) (E-ℏω/2)-(Formula presented) (E+ℏω/2)]/ℏω replaces -(Formula presented)(E)); (c) an additional term, equal to the principal part of -(Formula presented) ∫(d&εtilde; /π)[tcos(&εtilde; /ℏ)/&εtilde; ]|P[(Formula presented) [E-(&εtilde; +ℏω)/2]-(Formula presented) [E +(&εtilde; +ℏω)/2]|P]/(&εtilde;
    • see, e.g., H. U. Baranger and A. D. Stone, Phys. Rev. B 40, 8169 (1989). For finite ω there are three modifications of this formula: (a) both terms are multiplied by (Formula presented); (b) the energy integration variable is shifted, so that &εtilde;+ℏω replaces ε in the Fermi functions [for example, the symmetric term has &εtilde;=0, i.e., ((Formula presented) (E-ℏω/2)-(Formula presented) (E+ℏω/2)]/ℏω replaces -(Formula presented)(E)); (c) an additional term, equal to the principal part of -(Formula presented) ∫(d&εtilde;/π)[tcos(&εtilde;/ℏ)/&εtilde;]|P[(Formula presented) [E-(&εtilde;+ℏω)/2]-(Formula presented) [E +(&εtilde;+ℏω)/2]|P]/(&εtilde;
    • (1989) Phys. Rev. B , vol.40 , pp. 8169
    • Baranger, H.1    Stone, A.2
  • 35
    • 36149041879 scopus 로고
    • +ℏω), appears (apart from these, there is always the term of F(E, t) which cancels with the diamagnetic term, and reads -(i/ℏω)∫(dε/2π)cos(εt/ℏ)[(Formula presented) (E-ε/2) -(Formula presented) (E+ε/2)]/ε). As long as the whole volume of the sample is integrated over, including possible edge states, there is no need to invoke additional non-Fermi-surface terms [cf., e.g., P. Streda, J. Phys. C 15, L717 (1982)].
    • (1982) J. Phys. C , vol.15 , pp. L717
    • Streda, P.1
  • 36
    • 0000427517 scopus 로고
    • Cf. I. B. Levinson Zh. Eksp. Teor, Fiz. 95, 2175 (1989) [Sov. Phys. JETP 68, 1257 (1989)];
    • (1989) Fiz. , vol.95 , pp. 2175
    • Levinson, I.1
  • 38
    • 0041053604 scopus 로고
    • G. Bergmann, Phys. Rep. 107, 1 (1984), and references therein.
    • (1984) Phys. Rep. , vol.107 , pp. 1
    • Bergmann, G.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.