XIV Training Course in the Physics of Strongly Correlated Systems
Salerno (Vietri sul Mare), Italy, October 5-16, 2009

Anders W. Sandvik, Boston University

  Lecture notes; published in the proceedings (AIP Publishing)
  Cite as: A. W. Sandvik, AIP Conf. Proc. 1297, 135 (2010) Quantum Spin Systems

  Lecture slides Exact diagonalization and Lanczos methods Path integrals and stochastic series expansion Valence-bond methods and studies of valence-bond solids

The following are computer programs used in the training sessions

  Full diagonalization of the S=1/2 Heisenberg chain No symmetries used Using magnetization conservation Momentum states Semi-momentum states Semi-momentum states and spin-inversion; thermodynamics

  Lanczos diagonalization of the S=1/2 Heisenberg chain Lanczos calculation using semi-momentum states and spin-inversion symmetry

  Stochastic series expansion 2D S=1/2 Heisenberg model

This material is based upon work supported by the National Science Foundation under Grant No. 0803510. Any opinions, findings, and conclusions or recommendations expressed in this material are those of the author(s) and do not necessarily reflect the views of the National Science Foundation