Effects of a Parallel Magnetic Field on the Metal-Insulator Transition in a Dilute Two-Dimensional Electron System

The temperature dependence of conductivity $\sigma (T)$ of a two-dimensional electron system in silicon has been studied in parallel magnetic fields B. At B=0, the system displays a metal-insulator transition at a critical electron density $n_c(0)$, and $d\sigma \mathrm{/}dT>0$ in the metallic phase. At low fields ($B\lesssim 2$ T), $n_c$ increases as $n_c(B)-n_c(0)\propto B^{\beta }$ ($\beta \sim 1$), and the zero-temperature conductivity scales as $\sigma (n_s,B,T=0)/\sigma (n_s,0,0)=f(B^{\beta}/\delta_n)$(where$\delta_n=(n_s-n_c(0))/n_c(0)$,and$n_s$ is electron density) as expected for a quantum phase transition. The metallic phase persists in fields of up to 18 T, consistent with the saturation of $n_c$ at high fields.