Strongly correlated fermions with nonlinear energy dispersion and spontaneous generation of anisotropic phases

Abstract

Using the bosonization approach we study fermionic systems with a nonlinear dispersion relation in dimension d>2. We explicitly show how the band curvature gives rise to interaction terms in the bosonic version of the model. Although these terms are perturbatively irrelevant in relation to the Landau Fermi liquid fixed point, they become relevant perturbations when instabilities take place. Using a coherent state path integral technique we built up the effective action that governs the dynamics of the Fermi surface fluctuations. We consider the combined effect of fermionic interactions and band curvature on possible anisotropic phases triggered by negative Landau parameters. In particular we study in some detail the phase diagram for the isotropic/nematic/hexatic quantum phase transition.

RevTeX4, 9 pages, 2 eps figures, Final version as appeared in Phys.Rev. B

References in corpus (2)

• Luttinger's Theorem and Bosonization of the Fermi Surface
• Kohn-Luttinger pseudo-pairing in a two-dimensional Fermi-liquid

Cited by in corpus (25)

• Fermi liquid instabilities in the spin channel
• Phase Diagram of the Low-Density Two-Dimensional Homogeneous Electron Gas
• Dynamic generation of spin orbit coupling
• Non-perturbative behavior of the quantum phase transition to a nematic Fermi fluid
• Pomeranchuk and Topological Fermi Surface Instabilities from Central Interactions
• Fermi liquid near Pomeranchuk quantum criticality
• Unconventional metamagnetic electron states in orbital band systems
• Incipient Wigner Localization in Circular Quantum Dots
• `Local' Quantum Criticality at the Nematic Quantum Phase Transition
• Anatomy of the quantum melting of the two dimensional Wigner crystal
• Heat Bath Approach to Landau Damping and Pomeranchuk Quantum Critical Points
• Quasiparticle Interference in the Unconventional Metamagnetic Compound Sr${}_3$Ru${}_2$O${}_7$
• Symmetry-breaking Fermi surface deformations from central interactions in two dimensions
• Fermionic propagators for 2D systems with singular interactions
• The nematic phase in stripe forming systems within the self consistent screening approximation
• Bosonization of Fermi liquids in a weak magnetic field
• Reentrant Fulde-Ferrell-Larkin-Ovchinnikov superfluidity in the honeycomb lattice
• Two-dimensional Fermi liquid dynamics with density and quadrupolar interactions
• Mean-field theory on a coupled system of ferromagnetism and electronic nematic order
• Pomeranchuk-Nematic instability in the presence of a weak magnetic field
• Superconductivity near Pomeranchuk instabilities in the spin channel
• Competition between Pomeranchuk instabilities in the nematic and hexatic channels in a two-dimensional spinless Fermi fluid
• The Symmetry Principle in Condensed Matter Physics (I)
• Electronic Liquid Crystal Phases in Strongly Correlated Systems
• Effective field theory of an anomalous Hall metal from interband quantum fluctuations