(Mis-)handling gauge invariance in the theory of the quantum Hall effect. II. Perturbative results | |
Article | |
关键词: METAL-INSULATOR-TRANSITION; LINEAR SIGMA-MODELS; DISORDERED-SYSTEMS; CONDUCTIVITY; LOCALIZATION; REGIME; | |
DOI : 10.1103/PhysRevB.60.16821 | |
来源: SCIE |
【 摘 要 】
The concept of F invariance, which previously arose in our analysis of the integral and half-integral quantum Hall effects, is studied in 2 + 2 epsilon spatial dimensions. We report the results of a detailed renormalization-group analysis, and establish the renormalizability of the (Finkelstein) action to two-loop order. We show that the infrared behavior of the theory can be extracted from gauge-invariant (F-invariant) quantities only. For these quantities (conductivity, specific heat) we derive explicit scaling functions. We identify a bosonic quasiparticle density of states which develops a Coulomb gap as one approaches the metal-insulator transition from the metallic side. We discuss the consequences of F invariance for the strong-coupling, insulating regime. [S0163-1829(99)13639-7].
【 授权许可】
Free