Scaling Theory of a Compressibility-Driven Metal-Insulator Transition in a Two-Dimensional Electron Fluid

Abstract

We present a scaling description of a metal-insulator transition in two-dimensional electron systems that is driven by a vanishing compressibility rather than a vanishing diffusion coefficient. A small set of basic assumptions leads to a consistent theoretical framework that is compatible with existing transport and compressibility measurements, and allows to make predictions for other observables. We also discuss connections between these ideas and other theories of transitions to an incompressible quantum fluid.

arXiv comment5pp

References in corpus (23)

• Anderson Transitions
• Fermi-liquid instabilities at magnetic quantum phase transitions
• Metallic behavior and related phenomena in two dimensions
• Universally diverging Grueneisen parameter and the magnetocaloric effect close to quantum critical points
• Metallic Quantum Ferromagnets
• Theory of a continuous Mott transition in two dimensions
• Transport in strongly correlated two dimensional electron fluids
• Unexpected Behavior of the Local Compressibility Near the B=0 Metal-Insulator Transition
• Thermodynamic Signature of a Two-Dimensional Metal-Insulator Transition
• Metal-Insulator Transition of Disordered Interacting Electrons
• Quantum critical points with the Coulomb interaction and the dynamical exponent: when and why z=1
• Critical Behavior of a Strongly Interacting 2D Electron System
• Exponent relations at quantum phase transitions, with applications to metallic quantum ferromagnets
• Thermodynamic density of states of two-dimensional GaAs systems near the apparent metal-insulator transition
• Spectroscopic evidence for negative electronic compressibility in a quasi-three-dimensional spin-orbit correlated metal
• A Landau Theory for the Metal-Insulator Transition
• Critical Behavior of a Strongly Disordered 2D Electron System: The Cases of Long-Range and Screened Coulomb Interactions
• Effective Soft-Mode Theory of Strongly Interacting Fermions
• Nonanalyticities in a Strongly Correlated Fermi Liquid: Corrections to Scaling at the Fermi-Liquid Fixed Point
• Order Parameter Description of the Anderson-Mott Transition
• Theory of a Fermi-Liquid-to-Non-Fermi-Liquid Quantum Phase Transition in Dimensions d>1
• Quantum Phase Transition in a Clean Two-Dimensional Electron System
• Metal-insulator transition in correlated two-dimensional systems with disorder