Strongly Correlated Systems: Numerical Methods

✍ Scribed by P. Prelovšek, J. Bonča (auth.), Adolfo Avella, Ferdinando Mancini (eds.)

• Publisher: Springer-Verlag Berlin Heidelberg
• Year: 2013
• Tongue: English
• Leaves: 349
• Series: Springer Series in Solid-State Sciences 176
• Edition: 1
• Category: Library

✦ Synopsis

This volume presents, for the very first time, an exhaustive collection of those modern numerical methods specifically tailored for the analysis of Strongly Correlated Systems. Many novel materials, with functional properties emerging from macroscopic quantum behaviors at the frontier of modern research in physics, chemistry and material science, belong to this class of systems. Any technique is presented in great detail by its own inventor or by one of the world-wide recognized main contributors. The exposition has a clear pedagogical cut and fully reports on the most relevant case study where the specific technique showed to be very successful in describing and enlightening the puzzling physics of a particular strongly correlated system. The book is intended for advanced graduate students and post-docs in the field as textbook and/or main reference, but also for other researchers in the field who appreciate consulting a single, but comprehensive, source or wishes to get acquainted, in a as painless as possible way, with the working details of a specific technique.

✦ Table of Contents

Front Matter....Pages i-xxviii
Ground State and Finite Temperature Lanczos Methods....Pages 1-30
The Density Matrix Renormalization Group....Pages 31-65
Matrix Product State Algorithms: DMRG, TEBD and Relatives....Pages 67-98
Quantum Criticality with the Multi-scale Entanglement Renormalization Ansatz....Pages 99-130
The Time-Dependent Density Matrix Renormalization Group....Pages 131-152
Loop Algorithm....Pages 153-184
Stochastic Series Expansion Quantum Monte Carlo....Pages 185-206
Variational Monte Carlo and Markov Chains for Computational Physics....Pages 207-236
Coupled Cluster Theories for Strongly Correlated Molecular Systems....Pages 237-271
Diagrammatic Monte Carlo and Worm Algorithm Techniques....Pages 273-292
Fermionic and Continuous Time Quantum Monte Carlo....Pages 293-319
Back Matter....Pages 321-325

✦ Subjects

Solid State Physics;Spectroscopy and Microscopy;Mathematical Methods in Physics