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 ${\omega }_c$.

arXiv comment8 pages, 2 figures, references added, discussion of distance scales improved, version accepted for publication in PRB

References in corpus (11)

• Nematic Fermi Fluids in Condensed Matter Physics
• Quantum Theory of a Nematic Fermi Fluid
• Formation of a Nematic Fluid at High Fields in Sr3Ru2O7
• Quantum phase transitions of metals in two spatial dimensions: I. Ising-nematic order
• Metamagnetism and critical fluctuations in high quality single crystals of the bilayer ruthenate Sr3Ru2O7
• Non-perturbative behavior of the quantum phase transition to a nematic Fermi fluid
• Heat Bath Approach to Landau Damping and Pomeranchuk Quantum Critical Points
• Strongly correlated fermions with nonlinear energy dispersion and spontaneous generation of anisotropic phases
• 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
• Quantum oscillations in the anomalous phase in Sr3Ru2O7

Cited by in corpus (5)

• The nematic phase in stripe forming systems within the self consistent screening approximation
• Exceptional points in Fermi liquids with quadrupolar interactions
• Bosonization of Fermi liquids in a weak magnetic field
• Two-dimensional Fermi liquid dynamics with density and quadrupolar interactions
• s- and d-wave superconductivity in a two-band model