Theory of many-fermion systems II: The case of Coulomb interactions

Abstract

In a recent paper (cond-mat/9703164) a general field-theoretical description of many-fermion systems with short-ranged interactions has been developed. Here we extend this theory to the case of disordered electrons interacting via a Coulomb potential. A detailed discussion is given of the Ward identity that controls the soft modes in the system, and the generalized nonlinear sigma model for the Coulombic case is derived and discussed.

12 pp., REVTeX, no figs, final version as published

Cited by in corpus (19)

• Influence of Generic Scale Invariance on Classical and Quantum Phase Transitions
• First order transitions and multicritical points in weak itinerant ferromagnets
• Multidimensional Bosonization
• Properties of spin-triplet, even-parity superconductors
• Local field theory for disordered itinerant quantum ferromagnets
• Fluctuation-Driven Quantum Phase Transitions in Clean Itinerant Ferromagnets
• Nature of the Quantum Phase Transition in Clean, Itinerant Heisenberg Ferromagnets
• Long-Time Tails, Weak Localization, and Classical and Quantum Critical Behavior
• Local versus Nonlocal Order Parameter Field Theories for Quantum Phase Transitions
• Theory of Disordered Itinerant Ferromagnets I: Metallic Phase
• Quantum Electrodynamics and the Origins of the Exchange, Dipole-Dipole, and Dzyaloshinsky-Moriya Interactions in Itinerant Fermion Systems
• Theory of Disordered Itinerant Ferromagnets II: Metal-Insulator Transition
• Absence of electron dephasing at zero temperature
• Soft modes in Fermi liquids at arbitrary temperatures
• Annealed disorder, rare regions, and local moments: A novel mechanism for metal-insulator transitions
• Quantum Metal--Superconductor Transition: A Local Field Theory Approach
• Transport properties of clean and disordered superconductors in matrix field theory
• Electrons in an annealed environment: A special case of the interacting electron problem
• Quantum Criticality at the Metal Insulator Transition