Renormalization group study of intervalley scattering and valley splitting in a two-valley system

Abstract

Renormalization group equations are derived for the case when both valley splitting and intervalley scattering are present in a two-valley system. A third scaling parameter is shown to be relevant when the two bands are split but otherwise distinct. The existence of this parameter changes the quantitative behavior at finite temperatures, but the qualitative conclusions of the two-parameter theory are shown to be unaffected for realistic choice of parameters.

References in corpus (6)

• Metal-Insulator Transition in Disordered Two-Dimensional Electron Systems
• Flow diagram of the metal-insulator transition in two dimensions
• Metal-Insulator Transition in 2D: Experimental Test of the Two-Parameter Scaling
• Coherent back-scattering near the two-dimensional metal-insulator transition
• Critical behavior of transport and magnetotransport in 2D electron system in Si in the vicinity of the metal-insulator transition
• Spin-valley interplay in two-dimensional disordered electron liquid

Cited by in corpus (7)

• Electron-electron interaction correction and magnetoresistance in tilted fields in Si-based 2D systems
• Low temperature Hall effect in bismuth chalcogenides thin films
• Metal-insulator transition and low-density phases in a strongly-interacting two-dimensional electron system
• Test of scaling theory in two dimensions in the presence of valley splitting and intervalley scattering in Si-MOSFETs
• Metallic state in a strongly interacting spinless two-valley electron system in two dimensions
• Disordered electron liquid in double quantum well heterostructures: Renormalization group analysis and dephasing rate
• Renormalization group study of a two-valley system with spin-splitting