Fermi surface and dynamics of the<i>t</i>-<i>J</i>model at moderate doping

Stephan, W.; Horsch, Peter

doi:10.1103/physrevlett.66.2258

Cited by 190 publications

(127 citation statements)

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“…(4) [15]. In ARPES this should be seen as the reappearance of the 'shadow' QP band for k above the FS, in accordance with experiments [1] and some previous studies [15,7]. The effect is less pronounced at larger doping c h = 3/16, probably due to the reduction of the AFM correlation length.…”

supporting

confidence: 73%

“…1, presented at all available k, a coexistence of sharper features, associated with coherent QP peaks, and of a pronounced incoherent background, as already established in earlier studies [7]. The coherent peaks in Fig.…”

supporting

confidence: 60%

“…20%) within the interval 0.1 < T /t < 0.3, not inconsistent with the MFL form, leading toZ −1 ∼ ln(ω c /T ). Regarding the size ofZ (at low but finite T > 0) we note, that the value of the momentum distribution functionn ks is very close to the maximum for the t−J model, n ks ∼ (1 + c h )/2, for all |k| < k F [7]. Taking the FS volume according to Luttinger theorem and assuming that n ks falls monotonously with |k|, this implies the discontinuityZ = δn ks < 2c h /(1 + c h ).…”

mentioning

confidence: 99%

“…It is also important to note that due to projected fermion operators in the model the spectral function A(k, ω) is not normalized to unity [7], but rather to {c ks ,c † ks } = (1 + c h )/2. This has several consequences, e.g.…”

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confidence: 99%

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Spectral properties of the planar t-J model

Prelovšek

Jaklič

1997

Physica C: Superconductivity

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The single-particle spectral functions A(k, ω) and self-energies Σ(k, ω) are calculated within the t−J model using the finite-temperature Lanczos method for small systems. A remarkable asymmetry between the electron and hole part is found. The hole (photoemission) spectra are overdamped, with ImΣ ∝ ω in a wide energy range, consistent with the marginal Fermi liquid scenario, and in good agreement with experiments on cuprates. In contrast, the quasiparticles in the electron part of the spectrum show weak damping.PACS numbers: 71.27.+a, 79.60.-i, 71.20.-b The normal state of superconducting cuprates in many aspects contradicts the phenomenology of the normal Fermi liquid (FL). Anomalous frequency and temperature dependence of several response functions is generally attributed to electronic correlations, yet a proper description is missing so far. The angle resolved photoemission (ARPES) experiments [1-3] probe the one-particle spectral function A(k, ω). At intermediate doping they reveal for a wide class of cuprates a well defined large Fermi surface (FS) consistent with the Luttinger theorem and similar quasiparticle (QP) dispersion [2]. This seems to imply the validity of the concept of the usual metal with electronic-like FS. Such simple FL picture is in an apparent contradiction with magnetic and transport properties, e.g. electrical conductivity scales with hole concentration, closer to the picture of holes moving in the antiferromagnetic (AFM) background. Moreover, in ARPES the FL interpretation is spoiled by the overdamped character of QP peaks [3,2]. Although a large background makes fits of particular lineshapes non-unique [3,4], the QP inverse lifetime is found to be of the order of the QP energy, i.e. τ −1 ∝ ω for ω > T , leading to the concept of the marginal Fermi liquid (MFL) [5] with an anomalous single-particle and transport relaxation, in contrast to τ −1 ∝ ω 2 in the normal FL.It is unclear whether above features can be reproduced within generic models of strongly correlated systems, such as the Hubbard and the t − J model, in particular in the most challenging regime of intermediate doping. Spectral properties of these 2D models have been so far studied mainly via numerical techniques [6], e.g. exact diagonalization (ED) [7] and Quantum Monte Carlo (QMC) [8]. These studies, as well as some analytical approaches [9], established a reasonable consistency of the model QP dispersion with the experimental one, as well as the possibility of large FS, but have not been able to investigate closer the character of QP, being in the core of the anomalous low-energy properties.The aim of the present work is to employ the finitetemperature Lanczos method [10] to calculate A(k, ω) within the t − J model. This method has been already applied to other dynamic [11] and static [12] functions, yielding features consistent with the MFL concept and experiments on cuprates. Although calculations are still done in small systems, by using finite (but small) T > 0 smooth enough spectra are obtained not only to determ...

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supporting

confidence: 73%

supporting

confidence: 60%

mentioning

confidence: 99%

mentioning

confidence: 99%

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Spectral properties of the planar t-J model

Prelovšek

Jaklič

1997

Physica C: Superconductivity

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“…While for a moderate doping (paramagnetic state) the dispersion reflects the dominance of n.n. hopping, there exists large electronic FS which encloses a fraction of the Brillouin zone equal to the electron concentration n. 20 For the latter doping regime, the exact diagonalization results are well fitted by a simple tight-binding dispersion with some effective hopping amplitude t eff which scales with J ( for δ = 0.1 and J = 0.4t t eff = 0.24t 20 ). Hence, in the paramagnetic phase we can put ε k = −zt eff γ k .…”

Section: Dynamic Charge Susceptibilitymentioning

confidence: 93%

Charge dynamics and optical conductivity of thet−Jmodel

Jackeli

Плакида

1999

Phys. Rev. B

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The dynamic charge susceptibility and the optical conductivity are calculated in the planar t−J model within the memory function method, working directly in terms of Hubbard operators. The density fluctuation spectrum consists of a damped sound-like mode for small wave vectors and a broad high energy peak (∼ t) for large momenta. The study of the optical conductivity shows that electron scattering from spin fluctuations leads to the Drude-frequency dependent relaxation rate which exhibits a crossover from ω 3/2 behavior at low frequencies (ω < 2|µ|), to a linear ω-dependence for frequencies larger than 2|µ|. Due to the spin-polaron nature of charge carriers, extra absorptions arise starting at a frequency ω > ∼ J. The obtained results are in a good agreement with exact diagonalization studies.

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Spin‐wave renormalization by mobile holes in a two‐dimensional quantum antiferromagnet

Krier

Meissner

1993

Annalen der Physik

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The coupling of antiferromagnetic spin excitations and propagating holes has been studied theoretically on a square lattice in order to investigate the dependence of antiferromagnetic order on hole doping, being of relevance, eg.. for the Cu-3d9 system in antiferromagnetic Cu0,-planes of high-T, superconductors. An effective Hamiltonian has been used, which results from a 2D Hubbard model (hopping integral t ) with holes and with strong on-site Coulomb repulsion U. Bare antiferromagnetic excitations and holes with energies of the same order of magnitude t2/U are interacting via a coupling term being proportional to t and allowing holes to hop by emitting and absorbing spinwaves. In terms of a self-consistent one-loop approximation the renormalization of the spectral function both of holes and antiferromagnetic spin excitations are calculated.

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Fermi surface and dynamics of thet-Jmodel at moderate doping

Cited by 190 publications

References 29 publications

Spectral properties of the planar t-J model

Spectral properties of the planar t-J model

Charge dynamics and optical conductivity of thet−Jmodel

Spin‐wave renormalization by mobile holes in a two‐dimensional quantum antiferromagnet

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