Finite Temperature Dynamical Correlations using the Microcanonical Ensemble and the Lanczos Algorithm

Details Finite Temperature Dynamical Correlations using the Microcanonical Ensemble and the Lanczos Algorithm Finite Temperature Dynamical Correlations using the Microcanonical Ensemble and the Lanczos Algorithm

2003-02-11

arxiv.org/abs/cond-mat/0302211v1

Physics

Condensed Matter

Strongly Correlated Electrons

11 pages, 9 figures

Scientific paper

10.1103/PhysRevB.68.235106

We show how to generalise the zero temperature Lanczos method for calculating dynamical correlation functions to finite temperatures. The key is the microcanonical ensemble, which allows us to replace the involved canonical ensemble with a single appropriately chosen state; in the thermodynamic limit it provides the same physics as the canonical ensemble but with the evaluation of a single expectation value. We can employ the same system sizes as for zero temperature, but whereas the statistical fluctuations present in small systems are prohibitive, the spectra of the largest system sizes are surprisingly smooth. We investigate, as a test case, the spin conductivity of the spin-1/2 anisotropic Heisenberg model and in particular we present a comparison of spectra obtained by the canonical and microcanonical ensemble methods.

Affiliated with

Also associated with

No associations

Rating

Finite Temperature Dynamical Correlations using the Microcanonical Ensemble and the Lanczos Algorithm 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 Finite Temperature Dynamical Correlations using the Microcanonical Ensemble and the Lanczos Algorithm, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Finite Temperature Dynamical Correlations using the Microcanonical Ensemble and the Lanczos Algorithm will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-409985