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Based on an equation of motion approach the single impurity Anderson model(SIAM) is reexamined. Using the cluster expansions the equations of motion of Green functions are transformed into the corresponding equations of motion of connected…

强关联电子 · 物理学 2009-10-31 Hong-Gang Luo , Zu-Jian Ying , Shun-Jin Wang

We study the single impurity Anderson model (SIAM) using the equations of motion method (EOM), the non-crossing approximation (NCA), the one-crossing approximation (OCA), and Wilson's numerical renormalization group (NRG). We calculate the…

The equation of motion method (EOM) for Green functions is one of the tools used in the analysis of quantum dot system coupled with metallic and superconducting leads. We investigate modified EOM, based on differentiation of double-time…

介观与纳米尺度物理 · 物理学 2023-07-19 Grzegorz Górski

Using the cumulant Green's functions method (CGFM), we study the single impurity Anderson model (SIAM). The CGFM starting point is a diagonalization of the SIAM Hamiltonian expressed in a semi-chain form, containing N sites, viz., a…

The description of the dynamics of correlated electrons in quantum impurity models is typically described within the nonequilibrium Green function formalism combined with a suitable approximation. One common approach is based on the…

强关联电子 · 物理学 2013-06-26 Tal J. Levy , Eran Rabani

The Anderson impurity model for Kondo problem is investigated for arbitrary orbit-spin degeneracy $N$ of the magnetic impurity by the equation of motion method (EOM). By employing a new decoupling scheme, a set self-consistent equations for…

强关联电子 · 物理学 2015-05-13 Yunong Qi , Jian-Xin Zhu , C. S. Ting

We derive an exact mapping from the action of nonequilibrium dynamical mean-field theory (DMFT) to a single-impurity Anderson model (SIAM) with time-dependent parameters, which can be solved numerically by exact diagonalization. The…

强关联电子 · 物理学 2013-12-06 Christian Gramsch , Karsten Balzer , Martin Eckstein , Marcus Kollar

Ground-state properties of the non-interacting symmetric single-impurity Anderson model (SIAM) are derived from the corresponding eigenenergy equation. Explicit formulae are given for the ground-state energy, the hybridization, and the…

强关联电子 · 物理学 2015-12-02 Zakaria M. M. Mahmoud , Florian Gebhard

We propose an improved fast multi-orbital impurity solver for the dynamical mean field theory (DMFT) based on equations of motion (EOM) of Green's functions and decoupling scheme. In this scheme the inter-orbital Coulomb interactions are…

强关联电子 · 物理学 2015-05-30 Qingguo Feng , P. M. Oppeneer

The self-energy method for quantum impurity models expresses the correlation part of the self-energy in terms of the ratio of two Green's functions and allows for a more accurate calculation of equilibrium spectral functions than is…

强关联电子 · 物理学 2021-11-24 H. T. M. Nghiem , T. A. Costi

We study non-equilibrium electron transport through a quantum dot coupled to metallic leads. We use an alternative equation of motion approach in which we calculate the retarded Green function of the impurity by differentiating Green…

介观与纳米尺度物理 · 物理学 2014-12-23 Grzegorz Górski , Jerzy Mizia , Krzysztof Kucab

We propose a new way of analyzing the Hubbard model using equations of motion (EOM) for the higher-order Green's functions approach within the DMFT scheme. In calculating the higher order Green function we will differentiate over both Times…

强关联电子 · 物理学 2014-08-22 Grzegorz Gorski , Jerzy Mizia

We review two analytical approaches in Dynamical Mean-Field Theory (DMFT) based on a perturbation theory expansion over the electron hopping to and from the self consistent environment. In the first approach the effective single impurity…

强关联电子 · 物理学 2007-05-23 I. V. Stasyuk , A. M. Shvaika

We use the time dependent variational matrix product state (tVMPS) approach to investigate the dynamical properties of the single impurity Anderson model (SIAM). Under the Jordan-Wigner transformation, the SIAM is reformulated into two…

强关联电子 · 物理学 2010-02-04 Lei Wang , Jia-Ning Zhuang , Xi Dai , X. C. Xie

We consider the cumulant expansion of the PAM employing the hybridization as perturbation (Phys. Rev. B 50, 17933 (1994)), and we obtain formally exact one-electron Green's functions (GF). These GF contain effective cumulants that are as…

强关联电子 · 物理学 2010-07-13 M. E. Foglio , T. Lobo , M. S. Figueira

A review of electronic dynamics of single-impurity and many-impurity Anderson models is contained in this report. Those models are used widely for many of the applications in diverse fields of interest, such as surface physics, theory of…

强关联电子 · 物理学 2015-03-04 A. L. Kuzemsky

We propose a fast multi-orbital impurity solver for the dynamical mean field theory (DMFT). Our DMFT solver is based on the equations of motion (EOM) for local Green's functions and constructed by generalizing from the single-orbital case…

强关联电子 · 物理学 2015-05-30 Qingguo Feng , P. M. Oppeneer

We study steady state transport through a double quantum dot array using the equation-of-motion approach to the nonequilibrium Green functions formalism. This popular technique relies on uncontrolled approximations to obtain a closure for a…

强关联电子 · 物理学 2013-06-26 Tal J. Levy , Eran Rabani

We have developed a new efficient and accurate impurity solver for the single impurity Anderson model (SIAM), which is based on a non-perturbative recursion technique in a space of operators and involves expanding the self-energy as a…

强关联电子 · 物理学 2008-10-21 Jean-Pierre Julien , R. C. Albers

In the present work we apply the atomic approach to the single impurity Anderson model (SIAM). A general formulation of this approach, that can be applied both to the impurity and to the lattice Anderson Hamiltonian, was developed in a…

强关联电子 · 物理学 2009-11-24 T. Lobo , M. S. Figueira , M. E. Foglio
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