Self-consistent analysis of single-particle excitations in a spin-density-wave antiferromagnet

Altmann, J.; Brenig, Wilhelm; Ap, Kampf; Müller‐Hartmann, E.

doi:10.1103/physrevb.52.7395

Cited by 16 publications

(19 citation statements)

References 22 publications

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“…Numerical results for the Hubbard model [11,12], show similar features, with a narrow band which is very flat between the (0, π) and (π/2, π, 2) points of the Brillouin Zone. This band is also reasonably described by a generalization of the Born approximation to the Hubbard model [13]. As for the t-J model, this picture suggest that numerical results are well described in terms of dressed holes which hop within a given sublattice.…”

supporting

confidence: 57%

Dynamics of holes and universality class of the antiferromagnetic transition in the two-dimensional Hubbard model

Guinea

Louis

Sancho

et al. 2000

Solid State Communications

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supporting

confidence: 57%

Dynamics of holes and universality class of the antiferromagnetic transition in the two-dimensional Hubbard model

Guinea

Louis

Sancho

et al. 2000

Solid State Communications

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“…(2.22) resembles the self-energy derived by the coupling of the moving hole to transverse spin-fluctuations, as derived using the spin-wave theory. 37 However, the longitudinal part is not included in the latter approach, and we find that it cannot be neglected in the relevant regime of parameters for high temperature superconductors. The self-energy in a magnetic system is calculated using the Weiss effective field (2.12) in the symmetrybroken magnetic state.…”

Section: Self-energy With Local Spin Fluctuationmentioning

confidence: 90%

Spectral and transport properties of doped Mott-Hubbard systems with incommensurate magnetic order

Fleck

Lichtenstein²,

Oleś³

et al. 1999

Phys. Rev. B

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We present spectral and optical properties of the Hubbard model on a two-dimensional square lattice using a generalization of dynamical mean-field theory to magnetic states in finite dimension. The self-energy includes the effect of spin fluctuations and screening of the Coulomb interaction due to particle-particle scattering. At half-filling the quasiparticles reduce the width of the Mott-Hubbard 'gap' and have dispersions and spectral weights that agree remarkably well with quantum Monte Carlo and exact diagonalization calculations. Away from half-filling we consider incommensurate magnetic order with a varying local spin direction, and derive the photoemission and optical spectra. The incommensurate magnetic order leads to a pseudogap which opens at the Fermi energy and coexists with a large Mott-Hubbard gap. The quasiparticle states survive in the doped systems, but their dispersion is modified with the doping and a rigid band picture does not apply. Spectral weight in the optical conductivity is transferred to lower energies and the Drude weight increases linearly with increasing doping. We show that incommensurate magnetic order leads also to mid-gap states in the optical spectra and to decreased scattering rates in the transport processes, in qualitative agreement with the experimental observations in doped systems. The gradual disappearence of the spiral magnetic order and the vanishing pseudogap with increasing temperature is found to be responsible for the linear resistivity. We discuss the possible reasons why these results may only partially explain the features observed in the optical spectra of high temperature superconductors.

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“…The iΓ term represents the fermionic quasi-particle damping which we assume for simplicity to be independent of momentum. The actual damping, indeed, should have some momentum dependence, particularly near the top of the valence band [29][30][31][32]. Out of the three terms in the numerator, the first two are the vertex functions for the interaction between light and fermions, while the third term is the product of the two vertices for the interaction between fermions and magnons.…”

Section: The Formalismmentioning

confidence: 99%

Resonant Raman scattering in antiferromagnets

Morr

Chubukov

1997

Phys. Rev. B

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Two-magnon Raman scattering provides important information about electronic correlations in the insulating parent compounds of high-Tc materials. Recent experiments have shown a strong dependence of the Raman signal in B1g geometry on the frequency of the incoming photon. We present an analytical and numerical study of the Raman intensity in the resonant regime. It has been previously argued by one of us (A.Ch) and D. Frenkel that the most relevant contribution to the Raman vertex at resonance is given by the triple resonance diagram. We derive an expression for the Raman intensity in which we simultaneously include the enhancement due to the triple resonance and a final state interaction. We compute the two-magnon peak height (TMPH) as a function of incident frequency and find two maxima at ω (1) res ≈ 2∆ + 3J and ω (2) res ≈ 2∆ + 8J. We argue that the high-frequency maximum is cut only by a quasiparticle damping, while the low-frequency maximum has a finite amplitude even in the absence of damping. We also obtain an evolution of the Raman profile from an asymmetric form around ω (1) res to a symmetric form around ω (2) res . We further show that the TMPH depends on the fermionic quasiparticle damping, the next-nearest neighbor hopping term t ′ and the corrections to the interaction vertex between light and the fermionic current. We discuss our results in the context of recent experiments by Blumberg et al. on Sr2CuO2Cl2 and Y Ba2Cu3O6.1 and Rübhausen et al. on P rBa2Cu3O7 and show that the triple resonance theory yields a qualitative and to some extent also quantitative understanding of the experimental data.

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Self-consistent analysis of single-particle excitations in a spin-density-wave antiferromagnet

Cited by 16 publications

References 22 publications

Dynamics of holes and universality class of the antiferromagnetic transition in the two-dimensional Hubbard model

Dynamics of holes and universality class of the antiferromagnetic transition in the two-dimensional Hubbard model

Spectral and transport properties of doped Mott-Hubbard systems with incommensurate magnetic order

Resonant Raman scattering in antiferromagnets

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