Microcanonical Lanczos method

Abstract

In this article, the development of a novel numerical simulation method based on the Lanczos technique and the microcanonical statistical ensemble is discussed. It allows the evaluation of finite temperature dynamic correlations for quantum many-body systems on lattices larger than hitherto possible. To demonstrate the applicability of the method, a series of recently obtained results for one-dimensional spin and electronic models are reviewed.

Acknowledgments

The author expresses a pleasure to thank the organizers Profs. A. Gonis and N. Kioussis for inviting the author to participate to this stimulating Workshop. Also, the author would like to acknowledge the fundamental contribution of friends and collaborators Profs. M. Long and P. Prelovšek to the results presented in this paper.