Phase diagram and validity of one-parameter scaling near the two-dimensional metal-insulator transition

Details Phase diagram and validity of one-parameter scaling near the two-dimensional metal-insulator transition Phase diagram and validity of one-parameter scaling near the two-dimensional metal-insulator transition

1998-09-25

arxiv.org/abs/cond-mat/9809357v2

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

4 pages, revtex, plus six postscript figures

Scientific paper

We explore the scaling description for a two-dimensional metal-insulator transition (MIT) of electrons in silicon. Near the MIT, $\beta_{T}/p = (-1/p)d(\ln g)/d(\ln T)$ is universal (with $p$, a sample dependent exponent, determined separately; $g$--conductance, $T$--temperature). We obtain the characteristic temperatures $T_0$ and $T_1$ demarking respectively the quantum critical region and the regime of validity of single parameter scaling in the metallic phase, and show that $T_1$ vanishes as the transition is approached. For $T

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