Geometrical Approach to Bosonization of D>1 Dimensional (Non) Fermi Liquids

Abstract

We discuss an approach to higher dimensional bosonization of interacting fermion s based on a picture of fluctuating Fermi surface. Compared with the linearized"constructive" approach developed in Refs.[9-11] this method allows an account of the Fermi surface curvature due to nongaussian terms in the bosonized Lagrangian. On the basis of this description we propose a procedure of calculating density response functions beyond the random phase approximation. We also formulate a bosonic theory of the compressible metal-like state at half filled lowest Landau level and check that in gaussian approximation it reproduces RPA results of the gauge theory by Halperin, Lee, and Read.

23 pages, Latex 3.0, Princeton preprint

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Cited by in corpus (25)

• Quantum critical behavior in itinerant electron systems -- Eliashberg theory and instability of a ferromagnetic quantum-critical point
• Parquet solution for a flat Fermi surface
• Nonlinear Bosonization of Fermi Surfaces: The Method of Coadjoint Orbits
• Theory of Fermion Liquids
• Supersymmetric low-energy theory and renormalization group for a clean Fermi gas with a repulsion in arbitrary dimensions
• How to bosonize fermions with non-linear energy dispersion
• Bosonization for disordered and chaotic systems
• Correlation Energy of a Weakly Interacting Fermi Gas
• Temperature dependence of the spin susceptibility of a clean Fermi gas with repulsion
• The effect of Fermi surface curvature on low-energy properties of fermions with singular interactions
• Charge-Spin Separation in 2D Fermi Systems: Singular Interactions as Modified Commutators, and Solution of 2D Hubbard Model in Bosonized Approximation
• Describing systems of interacting fermions by boson models: exact mapping in arbitrary dimension and applications
• Bosonization in higher dimensions via noncommutative field theory
• An exact method for bosonizing the Fermi surface in arbitrary dimensions
• Searching for non-Fermi liquids under holographic light
• Effective field theory of Berry Fermi liquid from the coadjoint orbit method
• The fermion density operator in the droplet bosonization picture
• Reckoning with the Mother of all non-Fermi liquids: alien bosonization vs predator holography
• Vertex corrections of impurity scattering at a ferromagnetic quantum critical point
• Phase space holography with no strings attached
• Exact operator Hamiltonians and interactions in the droplet bosonization method
• Fermi Surface Bosonization for Non-Fermi Liquids
• Collective mode description for a clean Fermi gas with repulsion in arbitrary dimensions: interaction of spin excitations and its consequences
• Current Algebra Approach to 2d Chiral Metals
• Critical theory of Pomeranchuk transitions via high-dimensional bosonization