Crossover between Luttinger and Fermi liquid behavior in weakly coupled metallic chains

Abstract

We use higher-dimensional bosonization to study the normal state of electrons in weakly coupled metallic chains interacting with long-range Coulomb forces. Particular attention is paid to the crossover between Luttinger and Fermi liquid behavior as the interchain hopping is varied. Although in the physically interesting case of finite but small interchain hopping the quasi-particle residue does not vanish, the single-particle Green's function exhibits the signature of Luttinger liquid behavior (i.e. anomalous scaling and spin-charge separation) in a large intermediate parameter regime. Using realistic parameters, we find that the scaling behavior in this regime is characterized by an anomalous dimension of the order of unity, as suggested by recent experiments on quasi-one-dimensional conductors. Our calculation gives new insights into the approximations inherent in higher-dimensional bosonization. We also compare our approach with other methods.

RevTex, 8 figures, submitted to Phys. Rev. B

References in corpus (15)

• Wigner Crystal in One Dimension
• Bosonization and Fermion Liquids in Dimensions Greater Than One
• Bosonization of the Low Energy Excitations of Fermi Liquids
• Parquet solution for a flat Fermi surface
• One-Particle an Two-Particle Instability of Coupled Luttinger Liquids
• Scaling Properties of the Two-Chain Model
• Nonuniversal spectral properties of the Luttinger model
• Bosonization of interacting fermions in arbitrary dimension beyond the Gaussian approximation
• Bosonization of Fermi Systems in Arbitrary Dimension in Terms of Gauge Forms
• Anomalous scaling and spin-charge separation in coupled chains
• Functional Bosonization of Interacting Fermions in Arbitrary Dimensions
• Spectral Anomaly and High Temperature Superconductors
• How to bosonize fermions with non-linear energy dispersion
• Luttinger Liquid in a Solvable 2-Dimensional Model
• Calculation of the single-particle Green's function of interacting fermions in arbitrary dimension via functional bosonization

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