Physics – Condensed Matter – Statistical Mechanics
Scientific paper
1996-10-08
Phys.Rev. E55 (1997) 6419
Physics
Condensed Matter
Statistical Mechanics
20 pages, REVTEX, 11 eps figures, improved version accepted for publication in Phys. Rev. E
Scientific paper
10.1103/PhysRevE.55.6419
A method of resummation of infinite series of perturbation theory diagrams is applied for studying the properties of random band matrices. The topological classification of Feynman diagrams, which was actively used in last years for matrix model regularization of 2d-gravity, turns out to be very useful for band matrices. The critical behavior at the edge of spectrum and the asymptotics of energy level correlation function are considered. This correlation function together with the hypothesis about universality of spectral correlations allows to estimate easily the localization length for eigen-vectors. A smoothed two-point correlation function of local density of states $\overline{ \rho(E_1,i) \rho(E_2,j)_c}$ as well as the energy level correlation for finite size band matrices are also found. As d-dimensional generalization of band matrices lattice Hamiltonians with long-range random hopping are considered as well.
No associations
LandOfFree
Summing graphs for random band matrices 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 Summing graphs for random band matrices, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Summing graphs for random band matrices will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-382736