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Volumn 70, Issue 16, 2004, Pages 1-12

Longitudinal conductance of mesoscopic Hall samples with arbitrary disorder and periodic modulations [66]

Author keywords

[No Author keywords available]

Indexed keywords

ARTICLE; CALCULATION; CONDUCTANCE; ELECTRON TRANSPORT; MAGNETIC FIELD; MOLECULAR INTERACTION; PROBABILITY;

EID: 11244349054     PISSN: 01631829     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevB.70.165318     Document Type: Article
Times cited : (3)

References (42)
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    • (1964) Sov. Phys. JETP , vol.19 , pp. 634
  • 16
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    • note
    • See, for instance, the nontrivial Chern numbers for the square lattice.
  • 18
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    • cond-mat/0401007 (unpublished)
    • Chenggang Zhou, Mona Berciu, and R. N. Bhatt, cond-mat/0401007 (unpublished).
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  • 19
    • 11944259692 scopus 로고    scopus 로고
    • private communication
    • e). The amplitude of the periodic potential's largest Fourier components is estimated to be of the order of 1 K, while the scattering rate from the zero field mobility is estimated to be ℏlτ-8 K [P. Chaikin (private communication)]. This shows that disorder is large compared to the small periodic modulation, although both are small enough that one can neglect Landau level (LL) mixing.
    • Chaikin, P.1
  • 20
    • 4243971222 scopus 로고
    • The Kubo formula and the Landauer formula have been found to be equivalent in the current context for longitudinal conductance, see Daniel S. Fisher and Patrick A. Lee, Phys. Rev. B 23, 6851 (1981).
    • (1981) Phys. Rev. B , vol.23 , pp. 6851
    • Fisher, D.S.1    Lee, P.A.2
  • 24
    • 0030234016 scopus 로고    scopus 로고
    • M. Stopa, Y. Aoyagi, Physica B 227, 61 (1996); M. Stopa, Phys. Rev. B 54, 13 767 (1996); M. Stopa, Phys. Rev. B 53, 9595 (1996).
    • (1996) Physica B , vol.227 , pp. 61
    • Stopa, M.1    Aoyagi, Y.2
  • 25
    • 0001443892 scopus 로고    scopus 로고
    • M. Stopa, Y. Aoyagi, Physica B 227, 61 (1996); M. Stopa, Phys. Rev. B 54, 13 767 (1996); M. Stopa, Phys. Rev. B 53, 9595 (1996).
    • (1996) Phys. Rev. B , vol.54 , pp. 13767
    • Stopa, M.1
  • 26
    • 0004396660 scopus 로고    scopus 로고
    • M. Stopa, Y. Aoyagi, Physica B 227, 61 (1996); M. Stopa, Phys. Rev. B 54, 13 767 (1996); M. Stopa, Phys. Rev. B 53, 9595 (1996).
    • (1996) Phys. Rev. B , vol.53 , pp. 9595
    • Stopa, M.1
  • 30
    • 12344271673 scopus 로고
    • Various equivalent forms of Kubo formula for conductivity exist, see for example, R. Kubo, J. Phys. Soc. Jpn. 12, 570 (1957); R. Kubo, M. Toda, and N. Hashitsume, Nonequilibrium Statistical Mechanics (Springer, New York, 1985), also Refs. 6 and 7. Reference 28 offers detailed derivation of different forms, and Ref. 19 proves that in a certain type of model (similar to ours), the Kubo and the Landauer formalisms are equivalent.
    • (1957) J. Phys. Soc. Jpn. , vol.12 , pp. 570
    • Kubo, R.1
  • 31
    • 12344271673 scopus 로고
    • Springer, New York
    • Various equivalent forms of Kubo formula for conductivity exist, see for example, R. Kubo, J. Phys. Soc. Jpn. 12, 570 (1957); R. Kubo, M. Toda, and N. Hashitsume, Nonequilibrium Statistical Mechanics (Springer, New York, 1985), also Refs. 6 and 7. Reference 28 offers detailed derivation of different forms, and Ref. 19 proves that in a certain type of model (similar to ours), the Kubo and the Landauer formalisms are equivalent.
    • (1985) Nonequilibrium Statistical Mechanics
    • Kubo, R.1    Toda, M.2    Hashitsume, N.3
  • 34
    • 11944273422 scopus 로고    scopus 로고
    • note
    • As we introduce the computational method, it will also become clear that in the Landauer formula, the conductance is not strongly dependent on the detailed dispersion relation of the leads.
  • 35
    • 11944254036 scopus 로고    scopus 로고
    • note
    • 2/h), i.e., each conduction channel may contribute a maximum of one unit conductance, since in this case there is no coupling between (and therefore scattering into) other channels. Each injected electron either comes out on the other side of the sample (if electron density and magnetic field B are such that the Fermi level is inside a subband) or is completely reflected back (if Fermi level is in one of the gaps of the Hofstadter butterfly).
  • 36
  • 37
    • 0034324569 scopus 로고    scopus 로고
    • Magnus Paulsson and Sven Stafström, Phys. Rev. B 64, 035416 (2001); J. Phys.: Condens. Matter 12, 9433 (2000).
    • (2000) J. Phys.: Condens. Matter , vol.12 , pp. 9433


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.