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Volumn 66, Issue 20, 2002, Pages 2053151-20531517

Commensurate-incommensurate transitions of quantum hall stripe states in double quantum well systems

Author keywords

[No Author keywords available]

Indexed keywords

ARTICLE; DENSITY; ELECTRON; GAS; LIQUID; MAGNETIC FIELD; OSCILLATION; PHASE TRANSITION; QUANTUM MECHANICS;

EID: 0037113426     PISSN: 01631829     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (15)

References (31)
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    • edited by S. Das Sarma and A. Pinczuk (Wiley, New York)
    • See, for example, Perspectives in Quantum Hall Effects, edited by S. Das Sarma and A. Pinczuk (Wiley, New York, 1997); K. Moon, H. Mori, K. Yang, S. M. Girvin, A.H. MacDonald, L. Zheng, D. Yoshioka, and S. C. Zhang, Phys. Rev. B 51, 5138 (1995); K. Yang, K. Moon, L. Belkhir, H. Mori, S. M. Girvin, A. H. MacDonald, L. Zheng, and D. Yoshioka, ibid. 54, 11 644 (1996).
    • (1997) Perspectives in Quantum Hall Effects
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    • See, for example, Perspectives in Quantum Hall Effects, edited by S. Das Sarma and A. Pinczuk (Wiley, New York, 1997); K. Moon, H. Mori, K. Yang, S. M. Girvin, A.H. MacDonald, L. Zheng, D. Yoshioka, and S. C. Zhang, Phys. Rev. B 51, 5138 (1995); K. Yang, K. Moon, L. Belkhir, H. Mori, S. M. Girvin, A. H. MacDonald, L. Zheng, and D. Yoshioka, ibid. 54, 11 644 (1996).
    • (1995) Phys. Rev. B , vol.51 , pp. 5138
    • Moon, K.1    Mori, H.2    Yang, K.3    Girvin, S.M.4    MacDonald, A.H.5    Zheng, L.6    Yoshioka, D.7    Zhang, S.C.8
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    • See, for example, Perspectives in Quantum Hall Effects, edited by S. Das Sarma and A. Pinczuk (Wiley, New York, 1997); K. Moon, H. Mori, K. Yang, S. M. Girvin, A.H. MacDonald, L. Zheng, D. Yoshioka, and S. C. Zhang, Phys. Rev. B 51, 5138 (1995); K. Yang, K. Moon, L. Belkhir, H. Mori, S. M. Girvin, A. H. MacDonald, L. Zheng, and D. Yoshioka, ibid. 54, 11 644 (1996).
    • (1996) Phys. Rev. B , vol.54 , pp. 11644
    • Yang, K.1    Moon, K.2    Belkhir, L.3    Mori, H.4    Girvin, S.M.5    MacDonald, A.H.6    Zheng, L.7    Yoshioka, D.8
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    • The oscillations of the tunneling amplitude with the parallel magnetic field were also studied by J. Hu and A. H. MacDonald, Phys. Rev. B 46, 12 554 (1992); S. K. Lyo, in Infrared Applications of Semiconductors - Materials, Processing and Devices, edited by P. C. Andricacos, S. G. Corcoran, J. L. Delplancke, T. P. Moffat, and P. C. Searson, Mater. Res. Soc. Symposia Proceedings 450, p. 189 (Materials Research Society, Pittsburgh, 1997).
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    • The oscillations of the tunneling amplitude with the parallel magnetic field were also studied by J. Hu and A. H. MacDonald, Phys. Rev. B 46, 12 554 (1992); S. K. Lyo, in Infrared Applications of Semiconductors - Materials, Processing and Devices, edited by P. C. Andricacos, S. G. Corcoran, J. L. Delplancke, T. P. Moffat, and P. C. Searson, Mater. Res. Soc. Symposia Proceedings 450, p. 189 (Materials Research Society, Pittsburgh, 1997).
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    • note
    • Further evidence of this is found in the static Hartree-Fock solutions, which show a tendency to develop weak oscillations in the in-plane components.of the pseudospin just before the transition to the stripe phase, which we interpret as evidence of the SLS instability. These oscillations have only a very small effect on the energy.
  • 26
    • 33646604668 scopus 로고    scopus 로고
    • note
    • CL(q) is gapless. But since the CL is always unstable to the IL in this limit, such gaplessness is never observable in the CL state.
  • 27
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    • note
    • The one exception to this is the collective-mode dispersion for wave vectors parallel to the stripes in the CSP. Our TDHFA results indicate a quadratic collective-mode dispersion, whereas the effective theory constructed in Ref. 15 has a linear dispersion.
  • 29
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    • note
    • XR,L,R,L(k+G,k + G′, ω) where k is.a vector in the first Brillouin zone in the reciprocal lattice and G,G′ are reciprocal-lattice vectors. In computing the tunneling current in Fig. 3, we ignored the second term in Eq. (82) that can contribute to the current only at some discrete values of Q.


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