Monte Carlo approach to the dynamical coherent-potential approximation in metallic magnetism

Kakehashi, Y.

doi:10.1103/physrevb.45.7196

Cited by 50 publications

(44 citation statements)

References 63 publications

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“…The alloy analogy (the transformation) itself, however, must be seen as a rough approximation which fails to recover Fermi-liquid properties even for weak interactions. The "many-body CPA" by Hirooka and Shimizu, 72 the "generalized CPA" by Janis 73 as well as the "dynamical CPA" of Kakehashi 74 go beyond a simple analogy. The idea of the dynamical CPA is to perform the transformation to an effective one-particle Hamiltonian within the functional-integral formalism by means of a Hubbard-Stratonovich transformation and to recover the DMFT by the subsequent use of the CPA (see Ref.…”

Section: Dynamical Mean-field Theorymentioning

confidence: 99%

Self-energy-functional theory for systems of interacting electrons with disorder

Potthoff

Balzer

2007

Phys. Rev. B

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Based on a functional-integral formalism, a generalization of the self-energy-functional theory (SFT) is proposed which is applicable to systems of interacting electrons with disorder. Similar to the pure case without disorder, a variational principle is set up which gives the physical (disorder) self-energy as a stationary point of the (averaged) grand potential. Although the resulting self-energy functional turns out to be more complicated, the formal structure of the theory can be retained since the unknown part of the functional is universal. This allows to construct nonperturbative and thermodynamically consistent approximations via searching for a stationary point on a restricted domain of the functional. The theory and the possible approximations are worked out for models with local interactions and local disorder. This results in a derivation of different mean-field approaches and various cluster extensions, including well-known concepts as the statistical dynamical mean-field theory, the molecular coherent-potential approximation and the dynamical cluster approximation. Due to the common formal framework provided by the SFT, one achieves a general systematization of dynamical approaches, i.e. approaches based on the spectrum of oneparticle excitations. New mean-field and new cluster schemes naturally appear in this framework and complement the existing ones. Their prospects for future applications are discussed.

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Section: Dynamical Mean-field Theorymentioning

confidence: 99%

Self-energy-functional theory for systems of interacting electrons with disorder

Potthoff

Balzer

2007

Phys. Rev. B

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“…We have recently developed a self-consistent method 8 to calculate the excitation spectra from the retarded Green function by making use of the projection operator technique and the effective medium within the coherent potential approximation (CPA). 9,10 The method called the projection operator method CPA (PM-CPA) 8 is equivalent 11,12 to the many-body CPA, 13 the dynamical CPA, 14,15 and the dynamical mean field theory, [16][17][18][19] and treats the dynamics and the static correlations separately in the calculations. We calculate here the excitation spectra combining our variational method with the PM-CPA.…”

Section: Coulomb Interaction Regimesmentioning

confidence: 99%

“…Each term in the correlation energy (14) can be calculated by making use of Wick's theorem as follows.…”

Section: Local Approach With Momentum Dependent Variational Parametersmentioning

confidence: 99%

Local-Ansatz Approach with Momentum Dependent Variational Parameters to Correlated Electron Systems

2008

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“…One approach 68 starts form a Hubbard like Hamiltonian and introduces spin fluctuations via the Hubbard-Stratonovich transformation 69,70,71,72 which is then evaluated using a static coherent potential approximation (CPA) and improvements of this technique. A dynamical CPA 73 was developed by Kakehashi 74 . A second approach begins with solutions of the Kohn-Sham equations of a constrained LDA approximation in which the local moments point in random directions, and averages over their orientation using the KKR-CPA approach 75,76 .…”

Section: Dynamical Mean Field Approach and The Regime Of Strong mentioning

confidence: 99%

Electronic Structure and Magnetic Properties of Solids

et al. 2005

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Monte Carlo approach to the dynamical coherent-potential approximation in metallic magnetism

Cited by 50 publications

References 63 publications

Self-energy-functional theory for systems of interacting electrons with disorder

Self-energy-functional theory for systems of interacting electrons with disorder

Local-Ansatz Approach with Momentum Dependent Variational Parameters to Correlated Electron Systems

Electronic Structure and Magnetic Properties of Solids

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