Magnetic-field effects on the correlation functions in the one-dimensional strongly correlated Hubbard model

Ogata, Masao; Sugiyama, Tadao; Shibata, Hiroyuki

doi:10.1103/physrevb.43.8401

Cited by 60 publications

(65 citation statements)

References 22 publications

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“…This formulation also allows one to derive analytical results. For instance, the static function ω(0 → j, σ) introduced by Ogata and Shiba [9] can be shown to have the asymptotic behavior ∝ j −5/8 cos( Finally, let us comment on the experimental implications of the present results. It would be most interesting to observe the shadow band in angular-resolved photoemission or inverse photoemission experiments on quasione dimensional conductors.…”

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confidence: 60%

“…Although the Hamiltonians of the two models are different, they share the remarkable property that in both cases the eigenstates can be factorized [8,9,10,11] as…”

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confidence: 99%

“…[13]. This wave-function has already been used by Ogata and Shiba [9] to calculate the momentum distribution function and by Penc, Mila and Shiba to calculate the local spectral function of the infinite U Hubbard model [13].…”

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confidence: 99%

“…This is very similar to the mechanism of the shadow bands proposed for the two dimensional model with strong antiferromagnetic fluctuations. This shadow band is responsible for the singularity at 3k F present in the momentum distribution function [9,18,19]. Finally, there is a Van Hove singularity at ±2t which gives rise to a clear peak for wave vectors close to the extrema of the bands ('f').…”

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Shadow Band in the One-Dimensional Infinite-UHubbard Model

et al. 1996

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We show that the factorized wave-function of Ogata and Shiba can be used to calculate the k dependent spectral functions of the one-dimensional, infinite U Hubbard model, and of some extensions to finite U . The resulting spectral function is remarkably rich: In addition to low energy features typical of Luttinger liquids, there is a well defined band, which we identify as the shadow band resulting from 2kF spin fluctuations. This band should be detectable experimentally because its intensity is comparable to that of the main band for a large range of momenta. 71.10.Fd, 78.20.Bh The calculation of the spectral functions of models of correlated electrons is one the most challenging and largely unsolved issues of condensed matter theory. Although a number of numerical techniques can be used, e.g. exact diagonalization of finite clusters [1] or quantum Monte Carlo simulations [2], exact results are available only in very special cases, mostly for one-dimensional spin models [3]. As far as one-dimensional electron models are concerned, most of the well established results have been obtained in the framework of the Luttinger liquid theory [4,5,6,7], which is believed to be the correct description of the low energy properties of a large class of Hamiltonians. However, an accurate determination of the dynamical properties for all frequencies is so far still lacking.In this paper we perform such a calculation for the following one-dimensional models:i) The Hubbard model defined by the Hamiltonianin the infinite U limit, which is also equivalent to the J → 0 limit of the standard t − J model; ii) An extension of the t − J model first proposed by Xiang and d'Ambrumenil

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confidence: 60%

“…Although the Hamiltonians of the two models are different, they share the remarkable property that in both cases the eigenstates can be factorized [8,9,10,11] as…”

mentioning

confidence: 99%

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confidence: 99%

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confidence: 99%

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Shadow Band in the One-Dimensional Infinite-UHubbard Model

et al. 1996

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“…There are many investigations where the low-energy conformal invariance was combined with the model exact Bethe-ansatz solution in the study of the asymptotics of correlation functions and related quantities [25][26][27][28][29][30][31][32][33][34].…”

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The low-energy limiting behavior of the pseudofermion dynamical theory

2006

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In this paper we show that the general finite-energy spectral-function expressions provided by the pseudofermion dynamical theory for the one-dimensional Hubbard model lead to the expected low-energy Tomonaga-Luttinger liquid correlation function expressions. Moreover, we use the former general expressions to derive correlation-function asymptotic expansions in space and time which go beyond those obtained by conformal-field theory and bosonization: we derive explicit expressions for the pre-factors of all terms of such expansions and find that they have an universal form, as the corresponding critical exponents. Our results refer to all finite values of the on-site repulsion U and to a chain of length L very large and with periodic boundary conditions for the above model, but are of general nature for many integrable interacting models. The studies of this paper clarify the relation of the low-energy Tomonaga-Luttinger liquid behavior to the scattering mechanisms which control the spectral properties at all energy scales and provide a broader understanding of the unusual properties of quasi-one-dimensional nanostructures, organic conductors, and optical lattices of ultracold fermionic atoms. Furthermore, our results reveal the microscopic mechanisms which are behind the similarities and differences of the low-energy and finite-energy spectral properties of the model metallic phase.

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