Untitled

Dahnken, Christopher; Arrigoni, Enrico; Hanke, W.

doi:10.1023/a:1013898709475

Cited by 15 publications

(17 citation statements)

References 26 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The self-energy then becomes the atomic self-energy of the cluster. The lattice self-energy is then obtained by restoring the periodicity in the Green's function ͑Gros and Sénéchal et al, 2000Sénéchal et al, , 2002Zacher et al, 2000Zacher et al, , 2002Dahnken et al, 2002͒. The restriction of the functional ͑99͒ to a nonzero but static Weiss field gives rise to the variational cluster perturbation theory ͑VCPT͒ introduced by Potthoff et al ͑2003͒;Dahnken et al ͑2004͒; Tremblay ͑2004͒.…”

Section: B Extension To Clustersmentioning

confidence: 99%

Electronic structure calculations with dynamical mean-field theory

et al. 2006

View full text Add to dashboard Cite

A review of the basic ideas and techniques of the spectral density-functional theory is presented. This method is currently used for electronic structure calculations of strongly correlated materials where the one-electron description breaks down. The method is illustrated with several examples where interactions play a dominant role: systems near metal-insulator transitions, systems near volume collapse transitions, and systems with local moments.

show abstract

Section: B Extension To Clustersmentioning

confidence: 99%

Electronic structure calculations with dynamical mean-field theory

et al. 2006

View full text Add to dashboard Cite

show abstract

“…From G CP T (k) one can calculate single-particle quantities such as photoemission spectra, kinetic and potential energies, double occupancy, etc. To reduce the numerical cost, it was suggested to use periodic boundary conditions on the CPT cluster by adding the appropriate hopping terms to the intra-cluster hopping t c and subtracting them from the inter-cluster hopping δt (Dahnken et al, 2002). However, as discussed by Sénéchal et al (2002), periodic boundary conditions lead to less accurate spectra for the 1D Hubbard model than open boundary conditions.…”

Section: Cluster Perturbation Theorymentioning

confidence: 99%

Quantum cluster theories

et al. 2005

View full text Add to dashboard Cite

Quantum cluster approaches offer new perspectives to study the complexities of macroscopic correlated fermion systems. These approaches can be understood as generalized mean-field theories. Quantum cluster approaches are non-perturbative and are always in the thermodynamic limit. Their quality can be systematically improved, and they provide complementary information to finite size simulations. They have been studied intensively in recent years and are now well established. After a brief historical review, this article comparatively discusses the nature and advantages of these cluster techniques. Applications to common models of correlated electron systems are reviewed. 1

show abstract

“…Giving it a suitable momentum dependence may also be a way of including matrixelement effects, as in Ref. 20. But the simplest case would be that of a photoemission process in which the photoelectron comes from any band with equal probability, in which case the density matrix is unity.…”

Section: Readsmentioning

confidence: 99%

Cluster perturbation theory for Hubbard models

2002

View full text Add to dashboard Cite

Cluster perturbation theory is a technique for calculating the spectral weight of Hubbard models of strongly correlated electrons, which combines exact diagonalizations on small clusters with strongcoupling perturbation theory at leading order. It is exact in both the strong-and weak-coupling limits and provides a good approximation to the spectral function at any wavevector. Following the paper by Sénéchal et al. (Phys. Rev. Lett. 84, 522 (2000)), we provide a more complete description and derivation of the method. We illustrate some of its capabilities, in particular regarding the effect of doping, the calculation of ground state energy and double occupancy, the disappearance of the Fermi surface in the t − t ′ Hubbard model, and so on. The method is applicable to any model with on-site repulsion only.

show abstract

Untitled

Cited by 15 publications

References 26 publications

Electronic structure calculations with dynamical mean-field theory

Electronic structure calculations with dynamical mean-field theory

Quantum cluster theories

Cluster perturbation theory for Hubbard models

Contact Info

Product

Resources

About