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Application of linked-cluster expansions to quantum hamiltonian lattice systems

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Theory of Spin Lattices and Lattice Gauge Models

Part of the book series: Lecture Notes in Physics ((LNP,volume 494))

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Abstract

Comparisons are made between several different linked-cluster expansion methods, namely the linked-cluster perturbation series expansion, the t-expansion, the analytic Lanczos expansion, and the coupled-cluster expansion. They are considered from a technical point of view, and also as applied to the S=1/2 Heisenberg antiferromagnet on the square lattice and the compact U(1) lattice gauge model in 2+1 dimensions.

This work forms part of a research project supported by a grant from the Australian Research Council.

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John W. Clark Manfred L. Ristig

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© 1997 Springer-Verlag

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Zheng, W., Hamer, C.J., Oitmaa, J. (1997). Application of linked-cluster expansions to quantum hamiltonian lattice systems. In: Clark, J.W., Ristig, M.L. (eds) Theory of Spin Lattices and Lattice Gauge Models. Lecture Notes in Physics, vol 494. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0104301

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  • DOI: https://doi.org/10.1007/BFb0104301

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  • Print ISBN: 978-3-540-63207-8

  • Online ISBN: 978-3-540-69211-9

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