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Volumn 73, Issue 1, 1994, Pages 142-145

Mesoscopic transport through chaotic cavities: A random S-matrix theory approach

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EID: 3743108746     PISSN: 00319007     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevLett.73.142     Document Type: Article
Times cited : (364)

References (39)
  • 1
    • 84931522563 scopus 로고    scopus 로고
    • For reviews of mesoscopic physics see C. W. J. Beenakker and H. van Houten, in Solid State Physics, edited by H. Ehrenreich and D. Turnbull (Academic Press, New York, 1991), Vol. 44, pp. 1 228; Mesoscopic Phenomena in Solids, edited by B. L. Altshuler, P. A. Lee, and R. A. Webb (North Holland, New York, 1991).
  • 2
    • 84931522562 scopus 로고    scopus 로고
    • For a review see A. D. Stone, P. A. Mello, K. Muttalib, and J. L. Pichard, in Mesoscopic Phenomena in Solids, Ref. 1
  • 16
    • 84931522567 scopus 로고    scopus 로고
    • For reviews of chaos see M. C. Gutzwiller, Chaos in Classical and Quantum Mechanics (Springer Verlag, New York, 1991); Chaos and Quantum Physics, edited by M. J. Giannoni, A. Voros, and J. Zinn Justin (North Holland, New York, 1991).
  • 17
    • 84931522566 scopus 로고
    • See, e.g., C. M. Marcus et al., Surf. Sci. 305, 480 489 (1994); M. W. Keller et al., ; M. J. Berry et al., ibid. 305, 495 500 (1994); D. Weiss et al., ibid. 305, 408 418 (1994).
    • (1994) ibid. , vol.305 , pp. 501 506
  • 21
    • 84931522571 scopus 로고    scopus 로고
    • M. L. Mehta, Random Matrices (Academic, New York, 1991); C. E. Porter, Statistical Theories of Spectral Fluctuations (Academic, New York, 1965); L. K. Hua, Harmonic Analysis of Functions of Several Complex Variables in the Classical Domain, translated by L. Ebner and A. Koranyi (American Mathematical Society, Providence, RI, 1963).
  • 29
    • 84931522572 scopus 로고    scopus 로고
    • In Eq. ( ref{polarmu}) we have omitted phase factors which reflect the arbitrariness of the decomposition Eq. ( ref{polarS}) for the CUE case. None of the results reported here is affected; see, Ref. 17, for a full discussion. Also note that Πi runs from i=1 to 2 for the COE and i=1 to 4 for the CUE.
  • 30
    • 84931522569 scopus 로고    scopus 로고
    • The agreement is poorest in the COE N=3 case; further analysis is necessary to determine whether there is a systematic deviation near T=1.25.
  • 33
    • 84931522570 scopus 로고    scopus 로고
    • (to be published).
  • 39
    • 84931522573 scopus 로고    scopus 로고
    • We have considered structures with two equal size leads and < S > = 0. It is straightforward to consider leads of different size: suppose there are N1 (N2) propagating modes in lead 1 (2). Then, for example, for N1, N2 → ∞ with N1 / N2 equiv K, {< T >}COE - {< T >}CUE = -K/(1+K)2, var(T)COE = 2 var(T)CUE = 2 K2/(1+K)4, and we have universality classes labeled by K. The weak dependence on K limits the ``universality'' of our results.


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.