Functional renormalization group approach to zero-dimensional interacting systems

Details Functional renormalization group approach to zero-dimensional interacting systems Functional renormalization group approach to zero-dimensional interacting systems

2004-04-29

arxiv.org/abs/cond-mat/0404711v1

J. Phys.: Condensed Matter 16, 5279 (2004)

Physics

Condensed Matter

Strongly Correlated Electrons

22 pages, 8 figures included

Scientific paper

10.1088/0953-8984/16/29/019

We apply the functional renormalization group method to the calculation of dynamical properties of zero-dimensional interacting quantum systems. As case studies we discuss the anharmonic oscillator and the single impurity Anderson model. We truncate the hierarchy of flow equations such that the results are at least correct up to second order perturbation theory in the coupling. For the anharmonic oscillator energies and spectra obtained within two different functional renormalization group schemes are compared to numerically exact results, perturbation theory, and the mean field approximation. Even at large coupling the results obtained using the functional renormalization group agree quite well with the numerical exact solution. The better of the two schemes is used to calculate spectra of the single impurity Anderson model, which then are compared to the results of perturbation theory and the numerical renormalization group. For small to intermediate couplings the functional renormalization group gives results which are close to the ones obtained using the very accurate numerical renormalization group method. In particulare the low-energy scale (Kondo temperature) extracted from the functional renormalization group results shows the expected behavior.

Affiliated with

Also associated with

No associations

Rating

Functional renormalization group approach to zero-dimensional interacting systems 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 Functional renormalization group approach to zero-dimensional interacting systems, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Functional renormalization group approach to zero-dimensional interacting systems will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-567465