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Volumn 59, Issue 3, 1999, Pages 2120-2141

Electromagnetic response of a pinned wigner crystal

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Indexed keywords


EID: 0001019382     PISSN: 10980121     EISSN: 1550235X     Source Type: Journal    
DOI: 10.1103/PhysRevB.59.2120     Document Type: Article
Times cited : (62)

References (56)
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    • Wiley, New York S. Das Sarma
    • For a perspective on recent efforts of this sort, see H.A. Fertig, in Perspectives in Quantum Hall Effects, edited by S. Das Sarma and A. Pinczuk (Wiley, New York, 1997).
    • (1997) Perspectives in Quantum Hall Effects
    • Fertig, H.A.1
  • 19
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    • (private communication)
    • L.W. Engel (private communication).
    • Engel, L.W.1
  • 21
    • 85038296547 scopus 로고    scopus 로고
    • The microscopic model adopted in this work is qualitatively similar to that of Ref. 14. That work, however, focused on the value of the pinning frequency and did not directly compute the electromagnetic response of the WC. We believe a computation of this quantity within the model of Ref. 14 would lead to a sharp density response, as found in this work
    • The microscopic model adopted in this work is qualitatively similar to that of Ref. 14. That work, however, focused on the value of the pinning frequency and did not directly compute the electromagnetic response of the WC. We believe a computation of this quantity within the model of Ref. 14 would lead to a sharp density response, as found in this work.
  • 23
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    • W. Kohn, Phys. Rev. 123, 1242 (1961).
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    • Kohn, W.1
  • 25
    • 85038286267 scopus 로고    scopus 로고
    • Once we have projected into the lowest Landau level, there is no distinction between the cases when the charged particles in the WC are electrons and when they are holes. For clarity we refer to them throughout the text as electrons, even though in many experiments (particularly Refs. 15 and 16) the carriers are in fact holes
    • Once we have projected into the lowest Landau level, there is no distinction between the cases when the charged particles in the WC are electrons and when they are holes. For clarity we refer to them throughout the text as electrons, even though in many experiments (particularly Refs. 15 and 16) the carriers are in fact holes.
  • 28
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    • A similar model has been analyzed in the context of cyclotron resonance. See U. Merkt, Phys. Rev. Lett. 76, 1134 (1996).
    • (1996) Phys. Rev. Lett. , vol.76 , pp. 1134
    • Merkt, U.1
  • 30
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    • It should be noted that although pinning via charged impurities as discussed in Ref. 26 is inconsistent with experimentally measured pinning frequencies, it may well be true that this mechanism sets the energy scale for the static electric field threshold found in experiments. The possibility that nonlinear (Formula presented) characteristics and low-frequency ac response are dominated by different pinning mechanisms could explain the difficulties in reconciling the experimental measurements of these with a model that has a reasonable crystalline correlation length (Refs. 13 and 14
    • It should be noted that although pinning via charged impurities as discussed in Ref. 26 is inconsistent with experimentally measured pinning frequencies, it may well be true that this mechanism sets the energy scale for the static electric field threshold found in experiments. The possibility that nonlinear (Formula presented) characteristics and low-frequency ac response are dominated by different pinning mechanisms could explain the difficulties in reconciling the experimental measurements of these with a model that has a reasonable crystalline correlation length (Refs. 13 and 14).
  • 37
    • 85038303341 scopus 로고    scopus 로고
    • Note that this is where the approximation of ignoring overlaps between states localized at different sites is introduced
    • Note that this is where the approximation of ignoring overlaps between states localized at different sites is introduced.
  • 38
    • 85038303294 scopus 로고    scopus 로고
    • One may be more careful and directly compute (Formula presented) to account for spatial correlations between the current and induced electric field for a given disorder realization. However, for the very sharp responses we find at zero temperature, this difference is purely academic. At finite temperature where the response is broadened, this latter approach is preferable, although it is likely that the long-range nature of the Coulomb interaction will make the spatial variations in (Formula presented) quite weak
    • One may be more careful and directly compute (Formula presented) to account for spatial correlations between the current and induced electric field for a given disorder realization. However, for the very sharp responses we find at zero temperature, this difference is purely academic. At finite temperature where the response is broadened, this latter approach is preferable, although it is likely that the long-range nature of the Coulomb interaction will make the spatial variations in (Formula presented) quite weak.
  • 41
    • 85038342480 scopus 로고    scopus 로고
    • As usual, when representing spin waves in terms of bosonic degrees of freedom, one must keep in mind that the number of bosons per site is constrained to be no more than 1. Provided one is interested in states with very few spin waves (as is the case here), the constraint does not need to be enforced explicitly
    • As usual, when representing spin waves in terms of bosonic degrees of freedom, one must keep in mind that the number of bosons per site is constrained to be no more than 1. Provided one is interested in states with very few spin waves (as is the case here), the constraint does not need to be enforced explicitly.
  • 44
    • 85038274846 scopus 로고    scopus 로고
    • These properties are easily understood if one recognizes that the matrix is precisely the same as the one that must be diagonalized to express the pseudospin-wave creation and annihilation operators in terms of the site boson operators (Formula presented) (Formula presented)
    • These properties are easily understood if one recognizes that the matrix is precisely the same as the one that must be diagonalized to express the pseudospin-wave creation and annihilation operators in terms of the site boson operators (Formula presented) (Formula presented)
  • 47
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    • Phys. Rev. BR. Nötzel, et al., 47, 1299 (1993).
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    • Nötzel, R.1
  • 49
  • 51
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    • (unpublished)
    • C.C. Li (unpublished).
    • Li, C.C.1
  • 53
    • 85038277816 scopus 로고    scopus 로고
    • We expect for extremely large densities of pinned sites that one should observe a broadening of the absorption. However, the density required for this is too large to be of physical interest
    • We expect for extremely large densities of pinned sites that one should observe a broadening of the absorption. However, the density required for this is too large to be of physical interest.
  • 55
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    • Phys. Rev. BH.A. Fertig and R. Côté, 48, 2391 (1993).
    • (1993) , vol.48 , pp. 2391
    • Fertig, H.A.1    Côté, R.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.