Comparison of two quantum-cluster approximations

Details Comparison of two quantum-cluster approximations Comparison of two quantum-cluster approximations

2001-10-10

arxiv.org/abs/cond-mat/0110192v2

Phys. Rev. B 65, 041104 (2002)

Physics

Condensed Matter

Strongly Correlated Electrons

corrected version

Scientific paper

10.1103/PhysRevB.65.041104

We provide microscopic diagrammatic derivations of the the Molecular Coherent Potential Approximation (MCA) and Dynamical Cluster Approximation (DCA) and show that both are Phi-derivable. The MCA (DCA) maps the lattice onto a self-consistently embedded cluster with open (periodic) boundary conditions, and therefore violates (preserves) the translational symmetry of the original lattice. As a consequence of the boundary conditions, the MCA (DCA) converges slowly (quickly) with corrections O(1/Lc) (O(1/Lc^2)), where Lc is the linear size of the cluster. These analytical results are demonstrated numerically for the one-dimensional symmetric Falicov-Kimball model.

Affiliated with

Also associated with

No associations

Rating

Comparison of two quantum-cluster approximations does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Comparison of two quantum-cluster approximations, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Comparison of two quantum-cluster approximations will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-712270