An effective 1-band model for the cuprate superconductors

George Kastrinakis

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arXiv · 0901.0097

An effective 1-band model for the cuprate superconductors

George Kastrinakis

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Abstract

Starting from the copper-oxygen Hamiltonian of the CuO2 planes, we derive analytically an extended 1-band Hubbard Hamiltonian for the electrons on copper sites, through a canonical transformation which eliminates the oxygen sites. The model sustains a variety of phases : checkerboard states, stripes, antiferromagnetism, local pairs and mixtures thereof. This approach may be helpful in understanding what is so special about the CuO2 planes, as opposed to other compounds.

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George Kastrinakis. 2009-01-03. An effective 1-band model for the cuprate superconductors. https://arxiv.org/abs/0901.0097

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