Dynamics of sliding charge-density waves in 4-ε dimensions

Abstract

The critical behavior of sliding charge-density waves just above threshold is analyzed. In 4-\ensuremath{\epsilon} dimensions, the exponent \ensuremath{\zeta}, defined through ${\mathit{I}}_{\mathrm{CDW}}$\ensuremath{\sim}(V-${\mathit{V}}_{\mathit{T}}$${)}^{\mathrm{\ensuremath{\zeta}}}$, is found to be 1-\ensuremath{\epsilon}/6+O(${\mathrm{\ensuremath{\epsilon}}}^{2}$). Two different correlation lengths are found, with exponents \ensuremath{\nu}=1/2 exactly and ${\ensuremath{\nu}}_{\mathrm{FS}}$=2/d+O(${\mathrm{\ensuremath{\epsilon}}}^{2}$). These results compare favorable with recent numerical results in two and three dimensions.