Long-Range and Local Instabilities in Sliding Charge Density Waves

Time-dependent Ginzburg–Landau equation of charge-density-waves and numerical simulation of the sliding

“…Among them, the GinzburgLandau (GL) approach [20][21][22] seems to be most promising in explaining dislocation induced phase slips in sliding. Recently several attempts to include non-equilibrium quasiparticle dynamics have been made and the real-space numerical simulation of the CDW sliding taking into account the full non-equilibrium effects of the quasiparticles is coming closer to reality [27][28][29][30][31]. Detailed experimental studies of the nanoscale CDW were made possible also in these years [6,[32][33][34][35][36][37][38][39], and a close comparison of these results with numerical simulations may provide deeper insight into the dynamical processes in the condensed state.…”