Victor Kagalovsky, Quantum Scaling for the Metal-Insulator Transition in a Two-Dimensional Electron
Title: Quantum Scaling for the Metal-Insulator Transition in a Two-Dimensional Electron System
Abstract: We suggest Gaussian approximation to describe the quantum phase transition observed experimentally in seminal studies of two-dimensional (2D) electron systems. Our approach explains self-consistently the universal value of the critical exponent 3/2 (found after scaling measured resistivities on both sides of the transition as a function of temperature) as the result of the divergence of the correlation length when the electron density approaches the critical one. We also provide numerical evidence for the exponential temperature dependence of the metallic phase's resistivities (never suggested before) and show that it leads to correct qualitative results. Finally, we interpret the phase diagram on the density-temperature plane exhibiting the quantum phase transition and two crossover lines.