Microscopic theory of the nematic phase in Sr${}_3$Ru${}_2$O${}_7$

Abstract

In an externally applied magnetic field, ultra-pure crystals of the bilayer compound Sr${}_3$Ru${}_2$O${}_7$ undergo a metamagnetic transition below a critical temperature, $T^{\ast }$, which varies as a function of the angle between the magnetic field $H$ and the Ru-O planes. Moreover, $T^{\ast }$ approaches zero when $H$ is perpendicular to the planes. This putative "metamagnetic quantum critical point", however, is preempted by a nematic fluid phase with order one resistive anisotropy in the {\it ab} plane. In a "realistic" bilayer model with moderate strength local Coulomb interactions, the existence of a sharp divergence of the electronic density of states near a van Hove singularity of the quasi-one-dimensional bands, and the spin-orbit couplings permitted by the presence of multiple orbitals result in a mean-field phase diagram which accounts for many of these experimentally observed phenomena. Although the spin-orbit coupling is not overly strong, it destroys the otherwise near perfect Fermi surface nesting and hence suppresses spin-density-wave (SDW) ordering.

Typos fixed, References added

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• Fermi liquid instabilities in the spin channel
• Instability toward Formation of Quasi-One-Dimensional Fermi Surface in Two-Dimensional t-J Model
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• Theory of stripes in quasi two dimensional rare-earth tritellurides
• Metamagnetism of itinerant electrons in multi-layer ruthenates
• Meta-nematic transitions in a bilayer system: Application to the bilayer ruthenate
• Charge instabilities at the metamagnetic transition
• Effect of disorder on a Pomeranchuk instability

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