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The Strong-Coupling Hubbard Model on a Triangular Lattice

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Nonlinear Coherent Structures in Physics and Biology

Part of the book series: NATO ASI Series ((NSSB,volume 329))

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Abstract

In recent years two-dimensional quantum systems have been studied intensively. Especially the exploration of the ground state of Hubbard type (inclusive t-J and generalizations) and Heisenberg models has led to controversial results. In connection with the ongoing debate about the origin of high-T c superconductivity a variety of different proposals for the structure of the ground states have been put forward (see Figueirido et al1 for some examples). The most prominent example being the resonating-valence-bond mechanism for which lattice frustration seems to be a prerequisite. The appearance of frustration has to be interpreted as a structural prohibition against satisfying the lowest-energy state of each nearest neighbor pair resulting in unusual effects, observed experimentally2. Moreover, the importance of strong correlations has been acknowledged widely. Within this framework a competition between forces causing magnetic order and superconductivity, respectively, seems to exist3.

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Pecher, U., Weber, S.M., Waas, V. (1994). The Strong-Coupling Hubbard Model on a Triangular Lattice. In: Spatschek, K.H., Mertens, F.G. (eds) Nonlinear Coherent Structures in Physics and Biology. NATO ASI Series, vol 329. Springer, Boston, MA. https://doi.org/10.1007/978-1-4899-1343-2_32

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  • DOI: https://doi.org/10.1007/978-1-4899-1343-2_32

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4899-1345-6

  • Online ISBN: 978-1-4899-1343-2

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