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Volumn 71, Issue 1, 2005, Pages

Spectral function of a Luttinger liquid coupled to phonons and angle-resolved photoemission measurements in the cuprate superconductors

Author keywords

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Indexed keywords

COPPER;

EID: 16844372349     PISSN: 10980121     EISSN: 1550235X     Source Type: Journal    
DOI: 10.1103/PhysRevB.71.014524     Document Type: Article
Times cited : (2)

References (52)
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    • note
    • In the present paper, we compare our results to ARPES measurements in the cuprates in the nodal direction k = (0;0)-(π,π). This is done without microscopic justification. However, it is worth mentioning that in Refs. 43 and 44, the band structure of a disordered array of stripes is computed, and is found to have a nodal component. This implies that the ID physics along the stripes is being mirrored in this direction. We also mention that, according to Ref. 45, effective ID physics can emerge in a 2D system with straight Fermi segments and strong interactions.
  • 16
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    • cond-mat/0106143 (unpublished)
    • For a recent review, see F. Marsiglio and J. P. Carbotte, cond-mat/0106143 (unpublished).
    • Marsiglio, F.1    Carbotte, J.P.2
  • 17
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    • note
    • c, is dramatic in the LL but not present in the Fermi liquid.
  • 18
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    • edited by J. T. Devreese, R. P. Evrard, and V. E. van Doren (Plenum, New York)
    • V. J. Emery, in Highly Conducting One-Dimensional Solids, edited by J. T. Devreese, R. P. Evrard, and V. E. van Doren (Plenum, New York, 1979), p. 247.
    • (1979) Highly Conducting One-Dimensional Solids , pp. 247
    • Emery, V.J.1
  • 24
    • 0039615259 scopus 로고    scopus 로고
    • For the spectral function in the absence of electron-phonon coupling, see A. Luther and I. Peschel, Phys. Rev. B 9, 2911 (1974); V. J. Emery, in Highly Conducting One-Dimensional Solids (Ref. 18); V. Meden and K. Schönhammer, Phys. Rev. B 46, 15753 (1992); J. Voit; ibid. 47, 6740 (1993); D. Orgad, Philos. Mag. B 81, 375 (2001); T. Giamarchi, Quantum Physics in One Dimension (Ref. 22).
    • (1974) Phys. Rev. B , vol.9 , pp. 2911
    • Luther, A.1    Peschel, I.2
  • 25
    • 0039615259 scopus 로고    scopus 로고
    • Ref. 18
    • For the spectral function in the absence of electron-phonon coupling, see A. Luther and I. Peschel, Phys. Rev. B 9, 2911 (1974); V. J. Emery, in Highly Conducting One-Dimensional Solids (Ref. 18); V. Meden and K. Schönhammer, Phys. Rev. B 46, 15753 (1992); J. Voit; ibid. 47, 6740 (1993); D. Orgad, Philos. Mag. B 81, 375 (2001); T. Giamarchi, Quantum Physics in One Dimension (Ref. 22).
    • Highly Conducting One-Dimensional Solids
    • Emery, V.J.1
  • 26
    • 0001381529 scopus 로고
    • For the spectral function in the absence of electron-phonon coupling, see A. Luther and I. Peschel, Phys. Rev. B 9, 2911 (1974); V. J. Emery, in Highly Conducting One-Dimensional Solids (Ref. 18); V. Meden and K. Schönhammer, Phys. Rev. B 46, 15753 (1992); J. Voit; ibid. 47, 6740 (1993); D. Orgad, Philos. Mag. B 81, 375 (2001); T. Giamarchi, Quantum Physics in One Dimension (Ref. 22).
    • (1992) Phys. Rev. B , vol.46 , pp. 15753
    • Meden, V.1    Schönhammer, K.2
  • 27
    • 6144248096 scopus 로고
    • For the spectral function in the absence of electron-phonon coupling, see A. Luther and I. Peschel, Phys. Rev. B 9, 2911 (1974); V. J. Emery, in Highly Conducting One-Dimensional Solids (Ref. 18); V. Meden and K. Schönhammer, Phys. Rev. B 46, 15753 (1992); J. Voit; ibid. 47, 6740 (1993); D. Orgad, Philos. Mag. B 81, 375 (2001); T. Giamarchi, Quantum Physics in One Dimension (Ref. 22).
    • (1993) Phys. Rev. B , vol.47 , pp. 6740
    • Voit, J.1
  • 28
    • 0039615259 scopus 로고    scopus 로고
    • For the spectral function in the absence of electron-phonon coupling, see A. Luther and I. Peschel, Phys. Rev. B 9, 2911 (1974); V. J. Emery, in Highly Conducting One-Dimensional Solids (Ref. 18); V. Meden and K. Schönhammer, Phys. Rev. B 46, 15753 (1992); J. Voit; ibid. 47, 6740 (1993); D. Orgad, Philos. Mag. B 81, 375 (2001); T. Giamarchi, Quantum Physics in One Dimension (Ref. 22).
    • (2001) Philos. Mag. B , vol.81 , pp. 375
    • Orgad, D.1
  • 29
    • 0039615259 scopus 로고    scopus 로고
    • Ref. 22
    • For the spectral function in the absence of electron-phonon coupling, see A. Luther and I. Peschel, Phys. Rev. B 9, 2911 (1974); V. J. Emery, in Highly Conducting One-Dimensional Solids (Ref. 18); V. Meden and K. Schönhammer, Phys. Rev. B 46, 15753 (1992); J. Voit; ibid. 47, 6740 (1993); D. Orgad, Philos. Mag. B 81, 375 (2001); T. Giamarchi, Quantum Physics in One Dimension (Ref. 22).
    • Quantum Physics in One Dimension
    • Giamarchi, T.1
  • 30
    • 16844375103 scopus 로고    scopus 로고
    • note
    • F is given by A(±k,E)+A(±k,-E).
  • 31
    • 16844375512 scopus 로고    scopus 로고
    • note
    • 0. The cut-off ā is also not considered a free parameter, since the spectral function is independent of its value so long as 1/ā≫|k̄|,|Ē|. For all plots, we used ā=0.05.
  • 33
    • 16844377434 scopus 로고    scopus 로고
    • cond-mat/0404154 (unpublished)
    • I. P. Bindloss, cond-mat/0404154 (unpublished).
    • Bindloss, I.P.1
  • 34
    • 16844376319 scopus 로고    scopus 로고
    • note
    • cΛ.
  • 38
    • 16844362640 scopus 로고    scopus 로고
    • note
    • c.
  • 40
    • 16844373456 scopus 로고    scopus 로고
    • note
    • For 2D or 3D systems that contain a kink due to el-ph coupling, the dispersion at high binding energies is seen to extrapolate to the origin in both theory (Ref. 37) and experiment. (Ref. 46).
  • 45
    • 16844367045 scopus 로고    scopus 로고
    • note
    • The single-particle density of states (momentum integrated spectral function) for a different model of a LL coupled to acoustic phonons was investigated in Ref. 47.
  • 52
    • 16844371288 scopus 로고    scopus 로고
    • cond-mat/0004007 (unpublished)
    • E. Papa and A. M. Tsvelik, cond-mat/0004007 (unpublished).
    • Papa, E.1    Tsvelik, A.M.2


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