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Volumn 37, Issue 10, 1996, Pages 5087-5110

Integrability and disorder in mesoscopic systems: Application to orbital magnetism

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Indexed keywords


EID: 0030502381     PISSN: 00222488     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.531677     Document Type: Article
Times cited : (19)

References (37)
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    • A. Schmid, Phys. Rev. Lett. 66, 80 (1991); F. von Oppen and E.K. Riedel, ibid. 66, 84 (1991); B.L. Altshuler, Y. Gefen, and Y. Imry, ibid. 66, 88 (1991).
    • (1991) Phys. Rev. Lett. , vol.66 , pp. 80
    • Schmid, A.1
  • 19
    • 5844374693 scopus 로고
    • A. Schmid, Phys. Rev. Lett. 66, 80 (1991); F. von Oppen and E.K. Riedel, ibid. 66, 84 (1991); B.L. Altshuler, Y. Gefen, and Y. Imry, ibid. 66, 88 (1991).
    • (1991) Phys. Rev. Lett. , vol.66 , pp. 84
    • Von Oppen, F.1    Riedel, E.K.2
  • 23
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    • Quantum chaos and statistical nuclear physics
    • edited by T.H. Seligman and H. Nishioka, Springer, Berlin
    • A.M. Ozorio de Almeida, in Quantum Chaos and Statistical Nuclear Physics, edited by T.H. Seligman and H. Nishioka, Lecture Notes in Physics 263 (Springer, Berlin 1986).
    • (1986) Lecture Notes in Physics , vol.263
    • Ozorio De Almeida, A.M.1
  • 26
    • 0001412759 scopus 로고
    • We do not aim to describe disorder within a microscopic model as for example that by Nixon and Davies (J.A. Nixon and J.H. Davies, Phys. Rev. B 41, 7929 (1990)), where calculations for realistic distributions of residual impurities in a semiconductor heterostructure are performed.
    • (1990) Phys. Rev. B , vol.41 , pp. 7929
    • Nixon, J.A.1    Davies, J.H.2
  • 27
    • 0038856167 scopus 로고    scopus 로고
    • preprint, Cond-Mat/9404077
    • Self-consistent calculations indicate that the characteristic scale ξ can be in the order of 100-200 nm, A.M. Zagoskin et al. (preprint, Cond-Mat/9404077).
    • Zagoskin, A.M.1
  • 29
    • 0011856141 scopus 로고
    • A mixed approach for the diffusive regime where the individual scattering is treated quantum mechanically and the propagation between collisions (with δ-like scatterers) in terms of semiclassical paths can be found in S. Chakravarty and A. Schmid, Phys. Rep. 140, 193 (1986).
    • (1986) Phys. Rep. , vol.140 , pp. 193
    • Chakravarty, S.1    Schmid, A.2
  • 30
    • 0000168231 scopus 로고
    • For diagrammatic approaches to disorder effects on the susceptibility of small magnetic particles see S. Oh, A. Yu. Zyuzin, and A. Serota, Phys. Rev. B 44, 8858 (1991); A. Raveh and B. Shapiro, Europhys. Lett. 19, 109 (1992); B.L. Altshuler, Y. Gefen, Y. Imry, and G. Montambaux, Phys. Rev. B 47, 10340 (1993).
    • (1991) Phys. Rev. B , vol.44 , pp. 8858
    • Oh, S.1    Zyuzin, A.Yu.2    Serota, A.3
  • 31
    • 84956210194 scopus 로고
    • For diagrammatic approaches to disorder effects on the susceptibility of small magnetic particles see S. Oh, A. Yu. Zyuzin, and A. Serota, Phys. Rev. B 44, 8858 (1991); A. Raveh and B. Shapiro, Europhys. Lett. 19, 109 (1992); B.L. Altshuler, Y. Gefen, Y. Imry, and G. Montambaux, Phys. Rev. B 47, 10340 (1993).
    • (1992) Europhys. Lett. , vol.19 , pp. 109
    • Raveh, A.1    Shapiro, B.2
  • 32
    • 0000168231 scopus 로고
    • For diagrammatic approaches to disorder effects on the susceptibility of small magnetic particles see S. Oh, A. Yu. Zyuzin, and A. Serota, Phys. Rev. B 44, 8858 (1991); A. Raveh and B. Shapiro, Europhys. Lett. 19, 109 (1992); B.L. Altshuler, Y. Gefen, Y. Imry, and G. Montambaux, Phys. Rev. B 47, 10340 (1993).
    • (1993) Phys. Rev. B , vol.47 , pp. 10340
    • Altshuler, B.L.1    Gefen, Y.2    Imry, Y.3    Montambaux, G.4
  • 34
    • 0039448919 scopus 로고    scopus 로고
    • note
    • α(r) are independent of V. This may lead to an overestimation of impurity effects for configurations with extreme values of V which are however of exponentially small number.
  • 35
    • 0040041057 scopus 로고    scopus 로고
    • note
    • A proper treatment of these non-diagonal terms in the clean limit is an outstanding problem in the context of semiclas-sical quantum transport.


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