Non-linear $I(V)$ Characteristics of Luttinger Liquids and Gated Hall Bars

Abstract

Non-linear current voltage characteristics of a disordered Luttinger liquid are calculated using a perturbative formalism. One finds non-universal power law characteristics of the form $I(V)\sim V^{1/(2\tilde{g}-1)}$ which is valid both in the superfluid phase when $I$ is small and also in the insulator phase when $I$ is large. Mesoscopic voltage fluctuations are also calculated. One finds $\Var(ΔV) \sim I^{4\tilde{g}-3}$. Both the $I(V)$ characteristic and the voltage fluctuations exhibit universal power law behavior at the superfluid insulator transition where $\tilde{g}=\tot$. The possible application of these results to the non-linear transport properties of gated Hall bars is discussed.

8 pages. 4 uuencoded tiff figures available upon request to [email protected].

References in corpus (1)

• Wigner Crystal in One Dimension

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