Polaronic anharmonicity in the Holstein-Hubbard model

Zhong, Jicun; Schüttler, Heinz-Bernd

doi:10.1103/physrevlett.69.1600

Cited by 96 publications

(83 citation statements)

References 59 publications

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“…The on-site phonon is usually interpreted as a vibration of the apical oxygen above a given Cu site [428]. However, it is also possible to interpret the electronic band as an 'effective Cu atom', incorporating the coupling to a symmetric superposition of the wave function on the four neighboring O's (a Zhang-Rice singlet [351]).…”

Section: Appendix B: τ (Xc) In the One Band Modelmentioning

confidence: 99%

“…This means that the coupling can be analyzed in terms of conventional polaronic effects [150]. In fact, the Holstein and Holstein-Hubbard models can also play a role [427][428][429][430]237,51,405], since the associated Umklapp scattering can also split the VHS degeneracy. Note that, while these modes are not condensed in the macroscopic LTO or LTT phases, they could play a role in a dynamic JT or local polaronic picture.…”

Section: Tilt-stretch Mode Couplingmentioning

confidence: 99%

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A survey of the Van Hove scenario for high-tc superconductivity with special emphasis on pseudogaps and striped phases

Markiewicz

1997

Journal of Physics and Chemistry of Solids

371

280

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The Van Hove singularity (VHS) provides a paradigm for the study of the role of peaks in the density of states (dos) on electronic properties. More importantly, it appears to play a major role in the physics of the high-Tc superconductors, particularly since recent photoemission studies have found that the VHS is close to the Fermi level in most of the high-Tc cuprates near the composition of optimum Tc. This paper offers a comprehensive survey of the VHS model, describing both theoretical properties and experimental evidence for the picture. Special topics discussed include a survey of the Fermi surfaces of the cuprates and related compounds, and an analysis of the reliability of the slave boson approach to correlation effects. While many properties of the cuprates can be qualitatively understood by a simple rigid-band-filling model, this is inadequate for more quantitative results, since correlation effects tend to pin the Fermi level near the VHS over an extended doping range, and can lead to a nanoscale phase separation. Furthermore, the peaks in the dos lead to competition from other instabilities, both magnetic and structural (related to charge density waves). A novel form of dynamic structural instability, involving dynamic VHS-Jahn-Teller effects has been predicted. Scattered through the literature, there is considerable experimental evidence for both nanoscale phase separation of holes, and for local, possibly dynamic, structural disorder. This review attempts to gather these results into a comprehensive database, to sort the results, and to see how they fit into the Van Hove scenario. Recent experiments on underdoped cuprates are found to provide a strong confirmation that the pseudogap is driven by a splitting of the VHS degeneracy.

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Section: Appendix B: τ (Xc) In the One Band Modelmentioning

confidence: 99%

Section: Tilt-stretch Mode Couplingmentioning

confidence: 99%

A survey of the Van Hove scenario for high-tc superconductivity with special emphasis on pseudogaps and striped phases

Markiewicz

1997

Journal of Physics and Chemistry of Solids

371

280

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“…From this point of view it is of interest to carry out exact diagonalizations of the HtJM on small clusters. Along this line, a number of ED studies have been performed treating the phonons in the static limit, i.e., classically, in the so-called adiabatic or frozen phonon approximation [42,31,43,44]. The stability of the ground state against static lattice distortions was investigated and the phase diagram of the 2D HtJM has been explored in the one-and two-hole sectors [31], as well as for the quarter-filled band case [44], where a polaronic superlattice was found to occur above a critical EP coupling strength.…”

Section: The Holstein T-j Modelmentioning

confidence: 99%

Optical absorption and single-particle excitations in the two-dimensional Holsteint−Jmodel

1998

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To discuss the interplay of electronic and lattice degrees of freedom in systems with strong Coulomb correlations we have performed an extensive numerical study of the two-dimensional Holstein t-J model. The model describes the interaction of holes, doped in a quantum antiferromagnet, with a dispersionsless optical phonon mode. We apply finite-lattice Lanczos diagonalization, combined with a well-controlled phonon Hilbert space truncation, to the Hamiltonian. The focus is on the dynamical properties. In particular we have evaluated the single-particle spectral function and the optical con-

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“…In the weak-coupling (adiabatic) limit, one expects (from scaling arguments) a quasi-free electron behaviour for D > 1, while in a 1D system the carrier state becomes polaronic at arbitrary small λ ("large" polaron). Previous exact diagonalization (ED) work has concentrated on the 1D case [8][9][10][11][12]21,[13][14][15][16][17], where, however, the calculations were limited to either very small clusters, rather weak EP coupling (λ < 1) or to the adiabatic limit (ω o = 0). On the other hand, the most interesting effects will be expected if the characteristic electronic and phononic energy scales are not well separated (λ ∼ 1; α ∼ 1).…”

Section: Introductionmentioning

confidence: 99%

Spectral properties of the 2D Holstein polaron

Fehske

Loos

Wellein

1997

Zeitschrift für Physik B Condensed Matter

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The two-dimensional Holstein model is studied by means of direct Lanczos diagonalization preserving the full dynamics and quantum nature of phonons. We present numerical exact results for the single-particle spectral function, the polaronic quasiparticle weight, and the optical conductivity. The polaron band dispersion is derived both from exact diagonalization of small lattices and analytic calculation of the polaron self-energy.

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Polaronic anharmonicity in the Holstein-Hubbard model

Cited by 96 publications

References 59 publications

A survey of the Van Hove scenario for high-tc superconductivity with special emphasis on pseudogaps and striped phases

A survey of the Van Hove scenario for high-tc superconductivity with special emphasis on pseudogaps and striped phases

Optical absorption and single-particle excitations in the two-dimensional Holsteint−Jmodel

Spectral properties of the 2D Holstein polaron

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