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Center for Nonlinear Studies |
We investigate an interacting quantum wire hosting a single one-dimensional conducting channel. We consider both the short-range umklapp and the long-range Coulomb interactions between the electrons. The crucial ingredient of our theory is the fact that the gate voltage acts as a bias which controls the strength of the umklapp potential. At low gate voltages, the Wigner crystal is pinned by the umklapp, giving rise to an insulating behavior. Increasing the voltage, the umklapp eventually vanishes and the system starts to conduct reproducing, at low electronic density, the known anomalous structure around 0:7 £ (2e2=h). The signature of a transition from an insulating to a metallic regime is the emergence of a crossover behavior in the model's parameters predicted within the framework of a Renormalization Group calculation.
Host: Avadh Saxena, T-11