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Volumn 62, Issue 1, 2003, Pages 76-82

Typical medium theory of Anderson localization: A local order parameter approach to strong-disorder effects

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EID: 0037388089     PISSN: 02955075     EISSN: None     Source Type: Journal    
DOI: 10.1209/epl/i2003-00364-5     Document Type: Article
Times cited : (184)

References (26)
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    • FINKEL'SHTEIN A. M., Zh. Eksp. Teor. Fiz., 84 (1983) 168. For a review see BELITZ D. and KIRKPATRICK T. R., Rev. Mod. Phys., 66 (1994) 261.
    • (1994) Rev. Mod. Phys. , vol.66 , pp. 261
    • Belitz, D.1    Kirkpatrick, T.R.2
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    • DOBROSAVLJEVIĆ V. and KOTLIAR G., Phys. Rev. Lett., 71 (1993) 3218; 78 (1997) 3943; Phys. Rev. B, 50 (1994) 1430.
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    • note
    • Ours is a diametrically opposite, but complementary approach to that of the weak-localization theories[4], which investigate the stability of the metallic phase with respect to weak impurity scattering. The self-consistent theory of localization of Vollhardt and Wölfle[10] has a similar character, since it essentially represents a resummation of the most singular contributions at weak disorder near two dimensions. On the other hand, some recent experiments[5] indicate[11] that the observed quantum critical behavior may be dominated by the physics of the insulator, thus favoring the local picture.
  • 21
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    • note
    • o ≈ 4[18], and ν ≈ 1.58[16], so that β ≈ μ, ≈ 1.58. The result β= μ= l + O (ε) is also found within the 2 + ε approach[12].
  • 23
    • 0013003858 scopus 로고    scopus 로고
    • note
    • Within a "mean-field"-like formulation such as ours, we do not expect the different symmetry classes (with respect to time-reversal or spin-rotation invariance) to result in different critical exponents. Although it is well known that these differences play a crucial role in the weak-localization regime[4], we note that a recent numerical work[20] finds very similar critical behaviors in three dimensions in all cases.
  • 26
    • 0012902881 scopus 로고    scopus 로고
    • note
    • c, where the conductivity assumes the Drude-Boltzmann form.


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.