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The variational local moment approach (V-LMA), being a modification of the method due to Logan {\it et al}., is presented here. The existence of local moments is taken from the outset and their values are determined through variational…

Strongly Correlated Electrons · Physics 2009-02-03 Anna Kauch , Krzysztof Byczuk

The variational local moment approach (VLMA) solution of the single impurity Anderson model is presented. It generalizes the local moment approach of Logan et al. by invoking the variational principle to determine the lengths of local…

Strongly Correlated Electrons · Physics 2011-11-28 Anna Kauch , Krzysztof Byczuk

A non-perturbative local moment approach to single-particle dynamics of the general asymmetric Anderson impurity model is developed. The approach encompasses all energy scales and interaction strengths. It captures thereby strong coupling…

Strongly Correlated Electrons · Physics 2009-11-07 Matthew T. Glossop , David E. Logan

The local moment approach is extended to the orbitally-degenerate [SU(2N)] Anderson impurity model (AIM). Single-particle dynamics are obtained over the full range of energy scales, focussing here on particle-hole symmetry in the strongly…

Strongly Correlated Electrons · Physics 2009-08-18 Martin R. Galpin , Anne B. Gilbert , David E. Logan

We present an extension of the local moment approach to the Anderson impurity model with spin-dependent hybridization. By employing the two-self-energy description, as originally proposed by Logan and co-workers, we applied the symmetry…

Strongly Correlated Electrons · Physics 2011-08-04 Choong H. Kim , Jaejun Yu

A local moment approach is developed for the single-particle excitations of a symmetric Anderson impurity model (AIM), with a soft-gap hybridization vanishing at the Fermi level with a power law r > 0. Local moments are introduced…

Strongly Correlated Electrons · Physics 2009-10-31 David E Logan , Matthew T Glossop

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…

Strongly Correlated Electrons · Physics 2015-05-30 Qingguo Feng , P. M. Oppeneer

In this paper a fast impurity solver is proposed for dynamical mean field theory (DMFT) based on a decoupling of the equations of motion for the impurity Greens function. The resulting integral equations are solved efficiently with a method…

Strongly Correlated Electrons · Physics 2009-06-10 Qingguo Feng , Yuzhong Zhang , Harald O. Jeschke

To explore correlated electrons in the presence of local and non-local disorder, the Blackman-Esterling-Berk method for averaging over off-diagonal disorder is implemented into dynamical mean-field theory using tensor notation. The impurity…

Strongly Correlated Electrons · Physics 2021-07-21 A. Weh , Y. Zhang , A. Östlin , H. Terletska , D. Bauernfeind , K. -M. Tam , H. G. Evertz , K. Byczuk , D. Vollhardt , L. Chioncel

We develop a projective quantum Monte Carlo algorithm of the Hirsch-Fye type for obtaining ground state properties of the Anderson impurity model. This method is employed to solve the self-consistency equations of dynamical mean field…

Strongly Correlated Electrons · Physics 2007-05-23 M. Feldbacher , K. Held , F. F. Assaad

The Mott transition in a multi-orbital Hubbard model involving subbands of different widths is studied within the dynamical mean field theory. Using the iterated perturbation theory for the quantum impurity problem it is shown that at low…

Strongly Correlated Electrons · Physics 2009-11-10 A. Liebsch

We solve the Periodic Anderson model in the Mott-Hubbard regime, using Dynamical Mean Field Theory. Upon electron doping of the Mott insulator, a metal-insulator transition occurs which is qualitatively similar to that of the single band…

Strongly Correlated Electrons · Physics 2009-11-13 G. Sordi , A. Amaricci , M. J. Rozenberg

An investigation is presented of the utility of semiclassical approximations for solving the quantum-impurity problems arising in the dynamical-mean-field approach to the correlated-electron models. The method is based on performing a exact…

Strongly Correlated Electrons · Physics 2009-11-11 Satoshi Okamoto , Andreas Fuhrmann , Armin Comanac , Andrew J. Millis

We develop a local moment approach to static properties of the symmetric Anderson model in the presence of a magnetic field, focussing in particular on the strong coupling Kondo regime. The approach is innately simple and physically…

Strongly Correlated Electrons · Physics 2009-11-07 D. E. Logan , N. L. Dickens

Mottness is at the heart of the essential physics in a strongly correlated system as many novel quantum phenomena occur in the metallic phase near the Mott metal-insulator transition. We investigate the Mott transition in a Hubbard model by…

Strongly Correlated Electrons · Physics 2023-11-29 Yuekun Niu , Yu Ni , Jianli Wang , Leiming Chen , Ye Xing , Yun Song , Shiping Feng

An exactly solvable one-dimensional Hubbard model with a single Anderson impurity embedded at the boundary is constructed in the framework of the quantum inverse scattering method. The model is solved exactly by the nested Bethe ansatz…

Mathematical Physics · Physics 2025-09-10 Renjie Song , Mingchen Zheng , Junpeng Cao , Yupeng Wang

The symmetric periodic Anderson model is well known to capture the essential physics of Kondo insulator materials. Within the framework of dynamical mean-field theory, we develop a local moment approach to its single-particle dynamics in…

Strongly Correlated Electrons · Physics 2009-11-10 V. E. Smith , D. E. Logan , H. R. Krishnamurthy

It is shown that the calculation of the magnetic moment of a Friedel-Anderson impurity in mean-field theory is unreliable. A class of approximate solutions, which contains the mean-field solution as an element, is expressed in rotated…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 Gerd Bergmann

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…

Strongly Correlated Electrons · Physics 2015-05-30 Qingguo Feng , P. M. Oppeneer

Perturbative schemes utilizing a spectral moment expansion are well known and extensively used for investigating the physics of model Hamiltonians and real material systems. The advantages they offer, in terms of being computationally…

Strongly Correlated Electrons · Physics 2016-11-09 Nagamalleswararao Dasari , Wasim Raja Mondal , Peng Zhang , Juana Moreno , Mark Jarrell , N. S. Vidhyadhiraja
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