Staging transitions in multiple-quantum-well systems

A. H. MacDonald

doi:10.1103/PhysRevB.37.4792

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Staging transitions in multiple-quantum-well systems

A. H. MacDonald

National Research Council of Canada, Ottawa K1A 0R6, Canada

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Phys. Rev. B 37, 4792 – Published 15 March, 1988

DOI: https://doi.org/10.1103/PhysRevB.37.4792

Abstract

We suggest the possibility that staging transitions, similar to those in graphite intercalation compounds, might occur in a strong magnetic field for high-quality modulation-doped multiple-quantum-well systems with sufficiently low carrier density, ρ¯, and sufficiently short superlattice period, d. In a stage-n state electrons would occupy every nth quantum well. A simple model calculation suggests that n≥1 states have lower energy for $d^{3}$ ρ¯≲0.3.

References (20)

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P. Bak and M. H. Jensen, in Multicritical Phenomena, edited by R. Pyun and A. Skjeltorp (Plenum, New York, 1984).
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A. H. MacDonald, G. C. Aers and M. W. C. Dharma-wardana, Phys. Rev. B 31, 5529 (1985).
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[c1] M. S. Dresselhaus and G. Dresselhaus, Adv. Phys. 30, 139 (1980).

[c2] H. Zabel and P. C. Chow, Comments Condensed Matter Phys. 12, 225 (1986).

[c3] S. A. Safran, Phys. Rev. Lett. 44, 937 (1980).

[c4] P. Bak and M. H. Jensen, in Multicritical Phenomena, edited by R. Pyun and A. Skjeltorp (Plenum, New York, 1984).

[c5] G. Kirczenow, Phys. Rev. B 31, 5376 (1985).

[c6] D. Grecu, Phys. Rev. B 8, 1958 (1973).

[c7] A. L. Fetter, Ann. Phys. (NY) 88, 1 (1974).

[c8] S. Das Sarma and J. J. Quinn, Phys. Rev. B 25, 7603 (1982).

[c9] D. Olego, A. Pinczuk, A. C. Gossard and W. Wiegmann, Phys. Rev. B 25, 7867 (1982).

[c10] R. Sooryakumar, A. Pinczuk, A. Gossard and W. Wiegmann, Phys. Rev. B 31, 2578 (1985).

[c11] R. B. Laughlin, Phys. Rev. Lett. 50, 1395 (1983).

[c12] B. I. Halperin, Phys. Rev. Lett. 52, 1583 (1983).

[c13] D. Levesque, J. J. Weis and A. H. MacDonald, Phys. Rev. B 30, 1056 (1984).

[c14] A. H. MacDonald, G. C. Aers and M. W. C. Dharma-wardana, Phys. Rev. B 31, 5529 (1985).

[c15] P. K. Lam and S. M. Girvin, Phys. Rev. B 30, 473 (1984); ibid. 31, 613(E) (1985).

[c16] Lynn Bonsall and A. A. Maradudin, Phys. Rev. B 15, 1959 (1977).

[c17] A. K. Rajagopal and J. C. Kimball, Phys. Rev. B 15, 2819 (1977); A. Ishihara and T. Toyoda, Ann. Phys. (NY) 106, 394 (1977).

[c18] H. L. Störmer, A. Chang, D. S. Tsui, J. C. M. Huang, A. C. Gossard and W. Wiegmann, Phys. Rev. Lett. 50, 1953 (1983).

[c19] T. Haarasoja, H. L. Störmer, D. J. Bishop, V. Naryanamurti, A. C. Gossard and W. Wiegmann, Surf. Sci. 142, 294 (1984).

[c20] H. L Störmer, J. P. Eisenstein, A. C. Gossard, W. Wiegmann and K. Baldwin, Phys. Rev. Lett. 56, 85 (1986).

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Staging transitions in multiple-quantum-well systems

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