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The interpretation of the k dependent spectral functions of the one-dimensional, infinite U Hubbard model obtained by using the factorized wave-function of Ogata and Shiba is revisited. The well defined feature which appears in addition to…

强关联电子 · 物理学 2009-10-30 Frederic Mila , Karlo Penc

We evaluate the spectral function of interacting fermions in one dimension. Contrary to the Tomonaga-Luttinger model, our treatment accounts for the nonlinearity of the free fermion spectrum. In a striking departure from the Luttinger…

介观与纳米尺度物理 · 物理学 2007-10-02 M. Khodas , M. Pustilnik , A. Kamenev , L. I. Glazman

The one electron spectral functions for the Luttinger model are discussed for large but finite systems. The methods presented allow a simple interpretation of the results. For finite range interactions interesting nonunivesal spectral…

凝聚态物理 · 物理学 2009-10-22 K. Schönhammer , V. Meden

We show that the spectral function for single-particle excitations in a two-dimensional Fermi liquid has Lorentzian shape in the low energy limit. Landau quasi-particles have a uniquely defined spectral weight and a decay rate which is much…

强关联电子 · 物理学 2009-10-30 Christoph J. Halboth , Walter Metzner

By exactly analyzing the spin-1/2 Luttinger liquid (LL) and numerically solving a model of a mobile impurity electron in the LL, we obtain the one-electron spectral function $A(p,\omega)$ in a one-dimensional (1D) metal in an entire range…

强关联电子 · 物理学 2014-05-21 Hideaki Maebashi , Yasutami Takada

It is shown that the energy $(\varepsilon)$ and momentum $(k)$ dependences of the electron self-energy function $ \Sigma (k, \varepsilon + i0) \equiv \Sigma^{R}(k, \varepsilon) $ are, $ {\rm Im} \Sigma^{R} (k, \varepsilon) =…

凝聚态物理 · 物理学 2009-10-22 Hidetoshi Fukuyama , Masao Ogata

We present an extension of the Tomonaga-Luttinger model in which left and right-moving particles have different Fermi velocities. We derive expressions for one-particle Green's functions, momentum-distributions, density of states, charge…

强关联电子 · 物理学 2016-08-16 Victoria I. Fernández , Aníbal Iucci , Carlos M. Naón

Using a recently developed perturbative approach, which considers Hubbard operators as fundamental excitations, we have performed electronic self-energy and spectral function calculations for the $t-J$ model on the square lattice. We have…

强关联电子 · 物理学 2009-11-11 M. Bejas , A. Greco , A. Foussats

We find Marginal Fermi Liquid (MFL) like behavior in the Hubbard model on a square lattice for a range of hole doping and on-site interaction parameter U. Thereby we use a self-consistent projection operator method. It enables us to compute…

强关联电子 · 物理学 2009-11-11 Y. Kakehashi , P. Fulde

We compute the finite-temperature single-particle spectral function of a one-dimensional Luttinger liquid coupled to an optical phonon band. The calculation is performed exactly for the case in which electron-phonon coupling is purely…

强关联电子 · 物理学 2007-05-23 Ian P. Bindloss , Steven A. Kivelson

The critical behavior of one-dimensional interacting Fermi systems is expected to display universality features, called Luttinger liquid behavior. Critical exponents and certain thermodynamic quantities are expected to be related among each…

数学物理 · 物理学 2015-06-15 Giuseppe Benfatto , Pierluigi Falco , Vieri Mastropietro

This pre-print deals with the one dimensional Hubbard model, as described by the Pseudofermion Dynamical Theory (PDT), with the purpose of (1) deriving a novel expression for the one electron spectral function for all values of the on-site…

强关联电子 · 物理学 2023-11-30 D. Bozi

We present a study of the one-particle spectral properties for a variety of models of Luttinger liquids with open boundaries. We first consider the Tomonaga-Luttinger model using bosonization. For weak interactions the boundary exponent of…

强关联电子 · 物理学 2015-06-24 V. Meden , W. Metzner , U. Schollwoeck , O. Schneider , T. Stauber , K. Schoenhammer

We calculate one-particle spectra for a variety of models of Luttinger liquids with open boundary conditions. For the repulsive Hubbard model the spectral weight close to the boundary is enhanced in a large energy range around the chemical…

强关联电子 · 物理学 2009-10-31 K. Schoenhammer , V. Meden , W. Metzner , U. Schollwoeck , O. Gunnarsson

The Luttinger Theorem, which relates the electron density to the volume of the Fermi surface in an itinerant electron system, is taken to be one of the essential features of a Fermi liquid. The microscopic derivation of this result depends…

强关联电子 · 物理学 2018-09-17 O. J. Curtin , Y. Nishikawa , A. C. Hewson , D. J. G. Crow

We show that the one-dimensional (1D) electron systems can also be described by Landau's phenomenological Fermi-liquid theory. Most of the known results derived from the Luttinger-liquid theory can be retrieved from the 1D Fermi-liquid…

强关联电子 · 物理学 2009-10-30 Yupeng Wang

We calculate the finite temperature single hole spectral function and the spin dynamic structure factor of spinfull one-dimensional Tomonaga-Luttinger liquid. Analytical expressions are obtained for a number of special cases. We also…

强关联电子 · 物理学 2009-10-31 D. Orgad

We study the 1/N expansion of a generic, strongly correlated electron model (SU(N) symmetric Hubbard model with $U=\infty$ and N degrees of freedom per lattice site) in terms of X operators. The leading order of the expansion describes a…

强关联电子 · 物理学 2009-10-31 Emmanuele Cappelluti , Roland Zeyher

A system of one-dimensional electrons interacting via a short-range potential described by Hubbard model is considered in the regime of strong coupling using the Bethe ansatz approach. We study its momentum distribution function at zero…

强关联电子 · 物理学 2022-03-31 O. Tsyplyatyev

I attempt to give a pedagogical overview of the progress which has occurred during the past decade in the description of one-dimensional correlated fermions. Fermi liquid theory based on a quasi-particle picture, breaks down in one…

凝聚态物理 · 物理学 2009-10-28 Johannes Voit
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