Establishing a non-Fermi liquid theory for disordered metals near two dimensions

Abstract

We consider the finkelstein action describing a system of spin polarized or spinless electrons near two dimensions, in the presence of disorder as well as the Coulomb interactions.We extend the renormalization group analysis of our previous work and evaluate the metal-insulator transition of the electron gas to second order in an (d-2) expansion. We obtain the complete scaling behavior of physical observables like the conductivity and the specific heat with varying frequency, temperature and/or electron density.

arXiv comment19 pages, 3 tables and one figure

References in corpus (7)

• Electron--electron Interactions in Disordered Metals: Keldysh Formalism
• Electronic transport and the localization length in the quantum Hall effect
• Schwinger-Keldysh Approach to Disordered and Interacting Electron Systems: Derivation of Finkelstein's Renormalization Group Equations
• Probing the plateau-insulator quantum phase transition in the quantum Hall regime
• Interactions, Localization, and the Integer Quantum Hall Effect
• Integer quantum Hall effect of interacting electrons: dynamical scaling and critical conductivity
• High Frequency Conductivity in the Quantum Hall Regime

Cited by in corpus (25)

• Anderson Transitions
• Metal-Insulator Transition in Disordered Two-Dimensional Electron Systems
• Multifractality at Anderson transitions with Coulomb interaction
• Wave function multifractality and dephasing at metal-insulator and quantum Hall transitions
• The instanton vacuum of generalized $C{P}^{N-1}$ models
• Theta renormalization, electron-electron interactions and super universality in the quantum Hall regime
• Quantum criticality, particle-hole symmetry, and duality of the plateau-insulator transition in the quantum Hall regime
• Multifractality and electron-electron interaction at Anderson transitions
• The effects of macroscopic inhomogeneities on the magneto transport properties of the electron gas in two dimensions
• Quantum critical behaviour of the plateau-insulator transition in the quantum Hall regime
• Spin-valley interplay in two-dimensional disordered electron liquid
• New Insights into the Plateau-Insulator Transition in the Quantum Hall Regime
• Low magnetic field anomaly of the Hall effect in disordered 2D systems: Interplay between weak localization and electron-electron interaction
• Tunneling into the localized phase near Anderson transitions with Coulomb interaction
• Renormalization of hole-hole interaction at decreasing Drude conductivity
• Magneto-transport of graphene and quantum phase transitions in the quantum Hall regime
• Scale-dependent theory of the disordered electron liquid
• Disordered electron liquid in double quantum well heterostructures: Renormalization group analysis and dephasing rate
• Comment on ``Topological Oscillations of the Magnetoconductance in Disordered GaAs Layers''
• Super universality of the quantum Hall effect and the "large $N$ picture" of the $\vartheta$ angle
• Mesoscopic fluctuations of the local density of states in interacting electron systems
• Beta-functions of non-linear $\sigma$-models for disordered and interacting electron systems
• Two-loop renormalization of the Finkel'stein theory: The specific heat
• Emergence of quasi-metallic state in disordered 2D electron gas due to strong interactions
• Quantum phase coherence in non-Markovian and reaction-diffusive transport