Pomeranchuk-Nematic instability in the presence of a weak magnetic field

Abstract

We analyze a two-dimensional Pomeranchuk-Nematic instability, trigger by the Landau parameter $F_2<0$, in the presence of a small magnetic field. Using Landau Fermi liquid theory in the isotropic phase, we analyze the collective modes near the quantum critical point $F_2=-1,{\omega }_c=0$ (where ${\omega }_c$ is the cyclotron frequency). We focus on the effects of parity symmetry breaking on the Fermi surface deformation. We show that, for studying the critical regime, the linear response approximation of the Landau-Silin equation is not sufficient and it is necessary to compute corrections at least of order ${\omega }_c^2$. Identifying the slowest oscillation mode in the disordered phase, we compute the phase diagram for the isotropic/nematic phase transition in terms of $F_2$ and ${\omega }_c$.

8 pages, 2 figures, references added, discussion of distance scales improved, version accepted for publication in PRB

References in corpus (3)

• Formation of a Nematic Fluid at High Fields in Sr3Ru2O7
• Functional renormalization group approach to the Ising-nematic quantum critical point of two-dimensional metals
• Nematic domains and resistivity in an itinerant metamagnet coupled to a lattice

Cited by in corpus (1)

• Exceptional points in Fermi liquids with quadrupolar interactions