arXiv · 1407.4280
Phase separation and long wave-length charge instabilities in spin-orbit coupled systems
Abstract
We investigate a two-dimensional electron model with Rashba spin-orbit interaction where the coupling constant $g=g(n)$ depends on the electronic density. It is shown that this dependence may drive the system unstable towards a long-wave length charge density wave (CDW) where the associated second order instability occurs in close vicinity to global phase separation. For very low electron densities the CDW instability is nesting-induced and the modulation follows the Fermi momentum $k_F$. At higher density the instability criterion becomes independent of $k_F$ and the system may become unstable in a broad momentum range. Finally, upon filling the upper spin-orbit split band, finite momentum instabilities disappear in favor of phase separation alone. We discuss our results with regard to the inhomogeneous phases observed at the LaAlO$_3$/SrTiO$_3$ or LaTiO$_3$/SrTiO$_3$ interfaces.
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G. Seibold, D. Bucheli, S. Caprara, M. Grilli. 2014-07-16. Phase separation and long wave-length charge instabilities in spin-orbit coupled systems. https://doi.org/10.1209/0295-5075%2F109%2F17006
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