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Quantum Lattice Problems

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The Monte Carlo Method in Condensed Matter Physics

Part of the book series: Topics in Applied Physics ((TAP,volume 71))

Abstract

In this chapter we review methods currently used to perform Monte Carlo calculations for quantum lattice models. A detailed exposition is given of the formalism underlying the construction of the simulation algorithms. We discuss the fundamental and technical difficulties that are encountered and give a concise survey of applications of quantum Monte Carlo methods to various quantum statistical lattice problems. New developments are illustrated and discussed in terms of two many-body problems, the Hubbard and the Heisenberg model.

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Authors
  1. Hans De Raedt
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  2. Wolfgang von der Linden
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Editors and Affiliations

  1. Institut für Physik, Johannes-Gutenberg-Universität Mainz, Staudingerweg 7, D-6500, Mainz, Fed. Rep. of Germany

    Kurt Binder

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De Raedt, H., von der Linden, W. (1992). Quantum Lattice Problems. In: Binder, K. (eds) The Monte Carlo Method in Condensed Matter Physics. Topics in Applied Physics, vol 71. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-02855-1_8

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