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Notes on the density matrix renormalization group; Applications to ladder systems

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Strongly Correlated Magnetic and Superconducting Systems

Part of the book series: Lecture Notes in Physics ((LNP,volume 478))

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Abstract

In these notes we review both the formulation and some applications of the density matrix renormalization group (DMRG). We illustrate the use of DMRG with applications to ladder systems. We first consider Heisenberg ladders, which exhibit an interesting odd-even alternation of behavior as the number of chains increases. We then consider the behavior upon doping, using the t-J model. A simple theoretical framework is developed to explain why holes bind in pairs in two-dimensional antiferromagnets.

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Germán Sierra Miguel A. Martín-Delgado

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© 1997 Springer-Verlag

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White, S.R. (1997). Notes on the density matrix renormalization group; Applications to ladder systems. In: Sierra, G., Martín-Delgado, M.A. (eds) Strongly Correlated Magnetic and Superconducting Systems. Lecture Notes in Physics, vol 478. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0104634

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  • DOI: https://doi.org/10.1007/BFb0104634

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  • Print ISBN: 978-3-540-62476-9

  • Online ISBN: 978-3-540-49734-9

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