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Volumn 20, Issue 10, 2006, Pages 1243-1260

A heuristic quantum theory of the integer quantum Hall effect

Author keywords

QHE breakdown; QHE nonlinear transport theory; Quantum Hall effects; Theory and modeling

Indexed keywords


EID: 33646046825     PISSN: 02179792     EISSN: None     Source Type: Journal    
DOI: 10.1142/S0217979206033784     Document Type: Article
Times cited : (12)

References (37)
  • 2
    • 0027542491 scopus 로고
    • Device-width dependence of plateau width in quantum Hall states
    • S. Kawaji, K. Hirakawa and M. Nagata, Device-width dependence of plateau width in quantum Hall states, Physica B 184, 17 (1993).
    • (1993) Physica B , vol.184 , pp. 17
    • Kawaji, S.1    Hirakawa, K.2    Nagata, M.3
  • 3
    • 0030286592 scopus 로고    scopus 로고
    • Breakdown of the integer quantum Hall effect at high currents in GaAs/AlGaAs heterostructures
    • S. Kawaji, Breakdown of the integer quantum Hall effect at high currents in GaAs/AlGaAs heterostructures, Semicond. Sci. Technol. 11, 1546 (1996).
    • (1996) Semicond. Sci. Technol. , vol.11 , pp. 1546
    • Kawaji, S.1
  • 4
    • 0032093805 scopus 로고    scopus 로고
    • Hall electric field-dependent broadening of extended state bands in Landau levels and breakdown of the quantum Hall effect
    • T. Shimada, T. Okamoto and S. Kawaji, Hall electric field-dependent broadening of extended state bands in Landau levels and breakdown of the quantum Hall effect, Physica B 249-251, 107 (1998).
    • (1998) Physica B , vol.249-251 , pp. 107
    • Shimada, T.1    Okamoto, T.2    Kawaji, S.3
  • 6
    • 4243600385 scopus 로고    scopus 로고
    • Fluctuations and evidence for charging in the quantum Hall effect
    • D. H. Cobden, C. H. W. Barnes and C. J. B. Ford, Fluctuations and evidence for charging in the quantum Hall effect, Phys. Rev. Lett. 82, 4695 (1999).
    • (1999) Phys. Rev. Lett. , vol.82 , pp. 4695
    • Cobden, D.H.1    Barnes, C.H.W.2    Ford, C.J.B.3
  • 7
    • 33646025786 scopus 로고    scopus 로고
    • note
    • The effective g-factor is empirically deduced. We assume a, constant g*, which explains the observed structures very well. Thus a dependency of g* on the magnetic field is not needed here.
  • 8
    • 37149037543 scopus 로고
    • Quantum transport in semiconductor nanostructures
    • C. W. J. Beenakker and H. van Houten, Quantum transport in semiconductor nanostructures, Solid State Physics 44, 1 (1991).
    • (1991) Solid State Physics , vol.44 , pp. 1
    • Beenakker, C.W.J.1    Van Houten, H.2
  • 11
    • 27744564309 scopus 로고    scopus 로고
    • Propagation in crossed magnetic and electric fields: The quantum source approach
    • eds. B. Gruber, G. Marmo and N. Yoshinaga (Kluwer, Dordrecht)
    • T. Kramer and C. Bracher, Propagation in crossed magnetic and electric fields: The quantum source approach, in Symmetries in Science XI, eds. B. Gruber, G. Marmo and N. Yoshinaga (Kluwer, Dordrecht, 2004), pp. 317-353. http://arxiv.org/abs/cond-mat/0309424.
    • (2004) Symmetries in Science XI , pp. 317-353
    • Kramer, T.1    Bracher, C.2
  • 14
    • 0000388544 scopus 로고
    • The Green function of the stationary Schrödinger equation for a particle in a uniform magnetic field
    • V. V. Dodonov, I. A. Malkin and V. Man'ko, The Green function of the stationary Schrödinger equation for a particle in a uniform magnetic field, Phys. Lett. A 51, 133 (1975).
    • (1975) Phys. Lett. A , vol.51 , pp. 133
    • Dodonov, V.V.1    Malkin, I.A.2    Man'ko, V.3
  • 15
    • 24244440841 scopus 로고
    • Absence of backscattering in the quantum Hall effect in multiprobe conductors
    • M. Büttiker, Absence of backscattering in the quantum Hall effect in multiprobe conductors, Phys. Rev. B 38, 9375 (1988).
    • (1988) Phys. Rev. B , vol.38 , pp. 9375
    • Büttiker, M.1
  • 17
    • 0344036148 scopus 로고    scopus 로고
    • Localization in the quantum Hall regime
    • B. Kramer, S. Kettermann and T. Ohtsuki, Localization in the quantum Hall regime, Physica E 20, 172 (2003).
    • (2003) Physica E , vol.20 , pp. 172
    • Kramer, B.1    Kettermann, S.2    Ohtsuki, T.3
  • 19
    • 0004114051 scopus 로고    scopus 로고
    • D. Yoshioka (ed.), Springer-Verlag, Berlin
    • D. Yoshioka (ed.), The Quantum Hall Effect (Springer-Verlag, Berlin, 2002).
    • (2002) The Quantum Hall Effect
  • 20
    • 0003414482 scopus 로고
    • R. E. Prange and S. M. Girvin (eds.), Springer-Verlag, Berlin
    • R. E. Prange and S. M. Girvin (eds.), The Quantum Hall Effect (Springer-Verlag, Berlin, 1987).
    • (1987) The Quantum Hall Effect
  • 21
    • 0021487030 scopus 로고
    • Magnetization of a two-dimensional electron gas
    • D. Shoenberg, Magnetization of a two-dimensional electron gas, J. Low Temp. Phys. 56, 417 (1984).
    • (1984) J. Low Temp. Phys. , vol.56 , pp. 417
    • Shoenberg, D.1
  • 22
    • 0000146779 scopus 로고    scopus 로고
    • Single-electron transistor as an electrometer measuring chemical potential variations
    • Y. Y. Wei, J. Weis, K. v. Klitzing and K. Eberl, Single-electron transistor as an electrometer measuring chemical potential variations, Appl. Phys. Lett. 71, 2514 (1997).
    • (1997) Appl. Phys. Lett. , vol.71 , pp. 2514
    • Wei, Y.Y.1    Weis, J.2    Klitzing, K.V.3    Eberl, K.4
  • 23
    • 0033742839 scopus 로고    scopus 로고
    • A low-temperature scanning force microscope for investigating buried two-dimensional electron systems under quantum Hall conditions
    • P. Weitz, E. Ahlswede, J. Weis, K. v. Klitzing and K. Eberl, A low-temperature scanning force microscope for investigating buried two-dimensional electron systems under quantum Hall conditions, Appl. Surf. Sci. 157, 349 (2000).
    • (2000) Appl. Surf. Sci. , vol.157 , pp. 349
    • Weitz, P.1    Ahlswede, E.2    Weis, J.3    Klitzing, K.V.4    Eberl, K.5
  • 25
    • 0035933991 scopus 로고    scopus 로고
    • Ab initio simulation of charged slabs at constant chemical potential
    • A. Y. Lozovoi, A. Alavi, J. Kohanoff and R. M. Lynden-Bell Ab initio simulation of charged slabs at constant chemical potential, J. Chem. Phys. 115, 1661 (2001).
    • (2001) J. Chem. Phys. , vol.115 , pp. 1661
    • Lozovoi, A.Y.1    Alavi, A.2    Kohanoff, J.3    Lynden-Bell, R.M.4
  • 26
    • 0344495399 scopus 로고    scopus 로고
    • The role of MBE in recent quantum Hall effect physics discovery
    • L. Pfeiffer and K. W. West, The role of MBE in recent quantum Hall effect physics discovery, Physica E 20, 57 (2003).
    • (2003) Physica E , vol.20 , pp. 57
    • Pfeiffer, L.1    West, K.W.2
  • 28
    • 25144501105 scopus 로고    scopus 로고
    • A simple method for simulating scanning tunneling images
    • B. Donner, M. Kleber, C. Bracher and H. J. Kreuzer, A simple method for simulating scanning tunneling images, Amer. J. Phys. 73, 690 (2005).
    • (2005) Amer. J. Phys. , vol.73 , pp. 690
    • Donner, B.1    Kleber, M.2    Bracher, C.3    Kreuzer, H.J.4
  • 29
    • 0002360072 scopus 로고
    • Fermi pseudopotential in arbitrary dimensions
    • K. Wódkiewicz, Fermi pseudopotential in arbitrary dimensions, Phys. Rev. A 43, 68 (1991).
    • (1991) Phys. Rev. A , vol.43 , pp. 68
    • Wódkiewicz, K.1
  • 31
    • 33749473931 scopus 로고
    • Electrostatics of edge channels
    • Erratum: ibidem, p. 15 606
    • D. B. Chklovskii, B. I. Shklovskii and L. I. Glazman, Electrostatics of edge channels, Phys. Rev. B 46, 4026 (1992). Erratum: ibidem, p. 15 606.
    • (1992) Phys. Rev. B , vol.46 , pp. 4026
    • Chklovskii, D.B.1    Shklovskii, B.I.2    Glazman, L.I.3
  • 33
    • 0001443498 scopus 로고
    • On a new action of the magnet on electric currents
    • E. H. Hall, On a new action of the magnet on electric currents, Amer. J. Math. 2, 287 (1879).
    • (1879) Amer. J. Math. , vol.2 , pp. 287
    • Hall, E.H.1
  • 35
    • 35949024284 scopus 로고
    • Localization and scaling in the quantum Hall regime
    • H. P. Wei, D. C. Tsui and A. M. M. Pruisken, Localization and scaling in the quantum Hall regime, Phys. Rev. B 33, 1488 (1985).
    • (1985) Phys. Rev. B , vol.33 , pp. 1488
    • Wei, H.P.1    Tsui, D.C.2    Pruisken, A.M.M.3
  • 36
    • 0002011318 scopus 로고
    • The quantized Hall effect
    • April
    • B. I. Halperin, The quantized Hall effect, Sci. Am. 254, 40 (April 1986).
    • (1986) Sci. Am. , vol.254 , pp. 40
    • Halperin, B.I.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.