t-J model of coupled Cu\(_2\)O\(_5\) ladders in Sr\(_{14-x}\)Ca\(_x\)Cu\(_{24}\)O\(_{41}\)

Starting from the proper charge transfer model for Cu\(_2\)O\(_5\) coupled ladders in Sr\(_{14-x}\)Ca\(_x\)Cu\(_{24}\)O\(_{41}\) we derive the low energy Hamiltonian for this system. It occurs that the widely used ladder t-J model is not sufficient and has to be supplemented by the Coulomb repulsion...

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Bibliographic Details
Published in:arXiv.org 2010-06
Main Authors: Wohlfeld, Krzysztof, Oleś, Andrzej M, Sawatzky, George A
Format: Article
Language:English
Subjects:
Calcium
Charge density waves
Charge transfer
Ladders
Strontium
Online Access:Get full text
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Summary:Starting from the proper charge transfer model for Cu\(_2\)O\(_5\) coupled ladders in Sr\(_{14-x}\)Ca\(_x\)Cu\(_{24}\)O\(_{41}\) we derive the low energy Hamiltonian for this system. It occurs that the widely used ladder t-J model is not sufficient and has to be supplemented by the Coulomb repulsion term between holes in the neighboring ladders. Furthermore, we show how a simple mean-field solution of the derived t-J model may explain the onset of the charge density wave with the odd period in Sr\(_{14-x}\)Ca\(_x\)Cu\(_{24}\)O\(_{41}\).
ISSN:2331-8422
DOI:10.48550/arxiv.1006.4857