Physics – Condensed Matter – Mesoscale and Nanoscale Physics
Scientific paper
2004-09-21
Phys. Rev. B 71, 134203 (2005)
Physics
Condensed Matter
Mesoscale and Nanoscale Physics
18 pages, 8 figures, published version with minor changes
Scientific paper
10.1103/PhysRevB.71.134203
Considering disordered electron systems we suggest a scheme that allows us to include an electron-electron interaction into a supermatrix sigma-model. The method is based on replacing the initial model of interacting electons by a fully supersymmetric model. Although this replacement is not exact, it is a good approximation for a weak short range interaction and arbitrary disorder. The replacement makes the averaging over disorder and further manipulations straightforward and we come to a supermatrix sigma-model containing an interaction term. The structure of the model is rather similar to the replica one, although the interaction term has a different form. We study the model making perturbation theory and renormalization group calculations. We check the renormalizability of the model in the first loop approximation and in the first order in the interaction. In this limit we reproduce the renormalization group equations known from earlier works. We hope that the new supermatrix sigma-model may become a new tool for non-perturbative calculations for disordered systems with interaction.
Efetov Konstantin B.
Schwiete Georg
No associations
LandOfFree
Supersymmetry for disordered systems with interaction 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 Supersymmetry for disordered systems with interaction, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Supersymmetry for disordered systems with interaction will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-327230