Physics – Condensed Matter – Strongly Correlated Electrons
Scientific paper
2008-04-16
Physics
Condensed Matter
Strongly Correlated Electrons
12 pages, 3 figures
Scientific paper
I revisit the infinite-size variant of the Density Matrix Renormalization Group (iDMRG) algorithm for obtaining a fixed-point translationally invariant matrix product wavefunction in the context of one-dimensional quantum systems. A crucial ingredient of this algorithm is an efficient transformation for obtaining the matrix elements of the wavefunction as the lattice size is increased, and I introduce here a versatile transformation that is demonstrated to be much more effective than previous versions. The resulting algorithm has a surprisingly close relationship to Vidal's Time Evolving Block Decimation for infinite systems, but allows much faster convergence. Access to a translationally invariant matrix product state allows the calculation of correlation functions based on the transfer matrix, which directly gives the spectrum of all correlation lengths. I also show some advantages of the Matrix Product Operator (MPO) technique for constructing expectation values of higher moments, such as the exact variance $<(H-E)^2>$.
No associations
LandOfFree
Infinite size density matrix renormalization group, revisited 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 Infinite size density matrix renormalization group, revisited, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Infinite size density matrix renormalization group, revisited will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-606943