Variational cluster approach to correlated electron systems in low dimensions

2003/03/31 by M. Potthoff, M. Aichhorn, C. Dahnken · 4 citations
Physics and Astronomy · #cond-mat.str-el #cond-mat.supr-con

paper · pdf · doi:10.1103/physrevlett.91.206402

published as Phys. Rev. Lett. 91, 206402 (2003) · 4 pages, final version with minor changes

arxiv created 2003/11/20 · arxiv updated 2009/11/30

Abstract

A self-energy-functional approach is applied to construct cluster approximations for correlated lattice models. It turns out that the cluster-perturbation theory (Senechal et al, PRL 84, 522 (2000)) and the cellular dynamical mean-field theory (Kotliar et al, PRL 87, 186401 (2001)) are limiting cases of a more general cluster method. Results for the one-dimensional Hubbard model are discussed with regard to boundary conditions, bath degrees of freedom and cluster size.

Cited by

• Subbaths Cluster Dynamical Mean-Field Theory (SB-CDMFT)
• Variational Time Evolution Compression for Solving Impurity Models on Quantum Hardware
• Gor'kov-Hedin Equations for Quantum Many-Body Systems with Spin-Dependent Interactions
• Altermagnetic polarons: the fate of alter magnetic band splittings at strong coupling

Related

• An introduction to quantum cluster methods
• The Dynamical Cluster Approximation: A New Technique for Simulations of Strongly Correlated Electron Systems
• Variational cluster approach to spontaneous symmetry breaking: The itinerant antiferromagnet in two dimensions
• Quantum periodic cluster methods for strongly correlated electron\n systems
• Applicability and limitations of cluster perturbation theory for Hubbard models