Theory of the hourglass dispersion of magnetic excitations in high-T$_c$ cuprates

Details Theory of the hourglass dispersion of magnetic excitations in high-T$_c$ cuprates Theory of the hourglass dispersion of magnetic excitations in high-T$_c$ cuprates

2008-10-27

arxiv.org/abs/0810.4857v1

EPL 90, 17006 (2010)

Physics

Condensed Matter

Superconductivity

4 pages, 5 Figures

Scientific paper

10.1209/0295-5075/90/17006

A theory for the dispersion of collective magnetic excitations in superconducting cuprates is presented with the aim to cover both high and low doping regimes. Besides of spin fluctuations describable in the random phase approximation (RPA) we allow for local spin rotations within a mode-coupling theory. At low temperatures and moderately large correlation lengths we obtain two branches of excitations which disperse up- and downwards exhibiting the hourglass behavior observed experimentally at intermediate dopings. At large and small dopings our theory essentially reduces to the RPA and spin wave theory, respectively.

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