Reentrant behaviour in Landau Fermi liquids with spin-split Pomeranchuk instabilities

Abstract

We study the effects of spin-antisymmetric interactions on the stability of a Landau-Fermi liquid on the square lattice, using the generalized Pomeranchuk method for two-dimensional lattice systems. In particular, we analyze interactions that could induce instabilities of the so called spin-split type, that is when spin-up and spin-down Fermi surfaces are displaced with respect to each other. The phase space is studied as a function of the strength of the interaction $V$, the electron chemical potential $\mu$ and an external magnetic field $h$. We find that such interactions produce in general an enhancement of the instability region of the Landau-Fermi liquid. More interestingly, in certain regions of the $V$-$\mu$ phase space, we find a reentrant behaviour as a function of the magnetic field $h$, similar to that found in recent experiments, e.g. in URu${}_2$Si${}_2$ and Sr${}_3$Ru${}_2$O${}_7$.

5 pages, 3 figures

References in corpus (11)

• Rotational Symmetry Breaking in the Hidden-Order Phase of URu2Si2
• Fermi liquid instabilities in the spin channel
• Dynamic generation of spin orbit coupling
• Formation of Electronic Nematic Phase in Interacting Systems
• Spin nematic state as a candidate of the hidden order phase of URu${}_2$Si${}_2$
• Competition of Fermi surface symmetry breaking and superconductivity
• Meta-nematic transitions in a bilayer system: Application to the bilayer ruthenate
• Quasiparticle Interference in the Unconventional Metamagnetic Compound Sr${}_3$Ru${}_2$O${}_7$
• Symmetry-breaking Fermi surface deformations from central interactions in two dimensions
• Pomeranchuk instability: symmetry breaking and experimental signatures
• Effect of Electron-Electron Interactions on Rashba-like and Spin-Split Systems

Cited by in corpus (2)

• Pomeranchuk instabilities in holographic metals
• Generalized susceptibilities and Landau parameters for anisotropic Fermi liquids