Topological doping of correlated insulators

Synthetic Metals

Volumn 80, Issue 2, 1996, Pages 151-158

  Kivelson, S A ^a   Emery, V J ^b  

^a UNIVERSITY OF CALIFORNIA   (United States)

^b BROOKHAVEN NATIONAL LABORATORY   (United States)

Author keywords

Doping; Insulators

Indexed keywords

BAND STRUCTURE; CRYSTAL DEFECTS; DOPING (ADDITIVES); ELECTRONIC DENSITY OF STATES; FERMI SURFACE; HIGH TEMPERATURE SUPERCONDUCTORS; PHASE SEPARATION; POLYACETYLENES; SOLITONS; TOPOLOGY;

CHEMICAL POTENTIAL; CORRELATED INSULATOR; COULOMB FRUSTRATED ELECTRONIC TENDENCY; FERMI SURFACE INSTABILITY; TOPOLOGICAL DEFECTS; TOPOLOGICAL DOPING;

ELECTRIC INSULATORS;

EID: 0030166987     PISSN: 03796779     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0379-6779(96)03696-X     Document Type: Article

References (39)

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2. An illuminating example, in which this evolution can be studied in detail, is presented in V.J. Emery, Phys. Rev. Lett., 65 (1990) 1076, in which the properties of the one-dimensional large U copper-oxygen model are worked out as a function of doping concentration. Here, one can explicitly study the evolution from a doped insulator regime, in which the Drude weight is proportional to the density of holes relative to the half-filled band, to an overdoped regime, in which the Drude weight is proportional to the number of electrons.
3. For a comprehensive review, see: A.J. Heeger et al., Rev. Mod. Phys., 60 (1989) 781. Where statements are not otherwise attributed, they are discussed in this review with references to the original literature.
4. (3)( -3ω, ω, ω) explicitly for U=0 (i.e. taking into account only electron-phonon interactions in the adiabatic approximation) where the spectrum is that of a one-dimensional semiconductor. These calculations were found to agree surprisingly well with the later experimental measurements of S. Fan et al., Phys. Rev. Lett., 62 (1989) 1492, using a free electron laser. This suggests that the spin gap and charge gap are approximately equal in undoped polyacetylene.
5. (3)( -3ω, ω, ω) explicitly for U=0 (i.e. taking into account only electron-phonon interactions in the adiabatic approximation) where the spectrum is that of a one-dimensional semiconductor. These calculations were found to agree surprisingly well with the later experimental measurements of S. Fan et al., Phys. Rev. Lett., 62 (1989) 1492, using a free electron laser. This suggests that the spin gap and charge gap are approximately equal in undoped polyacetylene.
6. See, for example, the recent work of Miyamae et al., Bull. Chem. Soc. Jpn., 68 (1995) 1897. As in high-temperature superconductors, the Fermi energy is found to move rather little relative to the insulating gap features, but states move steadily into the gap upon doping. Unsurprisingly, no meaningful angle-resolved photoemission data exist for polyacetylene.
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16. More recent discussions of the theory of topological doping appear in a series of conference proceedings, especially: V.J. Emery and S.A. Kivelson, Physica C, 235-240 (1994) 189; V.J. Emery and S.A. Kivelson, Proc. 1st US-Polish Conf. High Temperature Superconductivity, Wroclaw, Poland, Sept. 1995, to be published.
17. More recent discussions of the theory of topological doping appear in a series of conference proceedings, especially: V.J. Emery and S.A. Kivelson, Physica C, 235-240 (1994) 189; V.J. Emery and S.A. Kivelson, Proc. 1st US-Polish Conf. High Temperature Superconductivity, Wroclaw, Poland, Sept. 1995, to be published.
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28. V.J. Emery, S.A. Kivelson and O. Zachar, unpublished results.
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34. B. Sternlieb and J. Tranquada, personal communication.
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39. This attractive interaction can also be viewed as a different realization of the physical ideas discussed in the context of the 'spin-bag' picture. See: J.R. Schrieffer, X.-G. Wen and S.-C. Zhang, Physica C, 162 (1989) 300 and Refs. therein.