Abstract
We discuss how finite temperature many-body perturbation theory can be used to develop high order series expansions and controlled Monte Carlo simulations for a variety of problems. Two approaches are outlined: (i) The cluster expansion method needed to develop convergent series expansions in some small parameter, and (ii) the power series expansion of the partition function that converges for finite lattices and forms the basis for the stochastic series expansion technique. The strengths of the two methods and their relationships with other numerical approaches for studying quantum many-body systems are discussed.
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Elstner, N., Sandvik, A.W., Singh, R.R.P. (1999). From Finite Temperature Many-Body Perturbation Theory to Series Expansions and Monte Carlo Simulations. In: Landau, D.P., Schüttler, HB. (eds) Computer Simulation Studies in Condensed-Matter Physics XI. Springer Proceedings in Physics, vol 84. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-60095-1_11
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DOI: https://doi.org/10.1007/978-3-642-60095-1_11
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