Critical Scaling of the Conductance in a Disordered Insulator
نویسندگان
چکیده
The evidence of a significant role played by electron-interaction effects in disordered metals' ' suggests an even greater role in the insulating phase" where metallic screening is absent. Historically, a number of experiments in the localized regime have been explained on the basis of the noninteracting Anderson model, in which the insulator is viewed as a Fermi glass." The most widely applied consequences of this model have been the Mott T"'" variable-range hopping law' and the Austin-Mott" low-frequency ac conductivity. These conclusions have been challenged by Efros and Shklovskix" who claim that electron-electron interactions, no matter
منابع مشابه
Metal-insulator transition in system with topological disorder
Metal-insulator transition in anisotropic disordered Anderson model with both topological and diagonal disorder is investigated numerically. For four sets of the model parameters we found the critical disorder and the critical exponent and prove that they do not depend on the transport direction. The system size independent critical conductance distribution Pc(g) is found for each critical poin...
متن کاملA Monte Carlo approach to determine conductance distributions in quasi-one-dimensional disordered wires
A detailed analysis of the statistical distribution of conductance P(g) of quasi-one-dimensional disordered wires in the metal–insulator crossover is presented. The distribution P(g) is obtained from a Monte Carlo solution of the Dorokhov, Mello, Pereyra and Kumar (DMPK) scaling equation, showing full agreement with ‘tight-binding’ numerical calculations of bulk disordered wires. Perturbation t...
متن کاملAsymmetric metal-insulator transition in disordered ferromagnetic films.
We present experimental data and a theoretical interpretation of the conductance near the metal-insulator transition in thin ferromagnetic Gd films of thickness b ≈ 2-10 nm. A large phase relaxation rate caused by scattering of quasiparticles off spin-wave excitations renders the dephasing length L(ϕ) ≲ b in the range of sheet resistances considered, so that the effective dimension is d = 3. T...
متن کاملMetal-insulator transition in three dimensional Anderson model: scaling of higher Lyapunov exponents
Numerical studies of the Anderson transition are based on finite-size scaling analysis of the smallest positive Lyapunov exponent. We prove numerically that the same scaling holds also for higher Lyapunov exponents. This scaling supports the hypothesis of the one-parameter scaling of the conductance distribution. From collected numerical data for quasi one dimensional systems up to system size ...
متن کاملMetal-Insulator Transition in a Low-Mobility Two-Dimensional Electron System
We have varied the disorder in a two-dimensional electron system in silicon by applying substrate bias. When the disorder becomes sufficiently low, we observe the emergence of the metallic phase, and find evidence for a metal-insulator transition (MIT): the single-parameter scaling of conductivity with temperature near a critical electron density. We obtain the scaling function β, which determi...
متن کامل