Disorder induced transition into a one-dimensional Wigner glass

Shimul Akhanjee; Joseph Rudnick

doi:10.1103/physrevlett.99.236403

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arXiv · 0706.4462

Disorder induced transition into a one-dimensional Wigner glass

Shimul Akhanjee·Joseph Rudnick

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Abstract

The destruction of quasi-long range crystalline order as a consequence of strong disorder effects is shown to accompany the strict localization of all classical plasma modes of one-dimensional Wigner crystals at T=0. We construct a phase diagram that relates the structural phase properties of Wigner crystals to a plasmon delocalization transition recently reported. Deep inside the strictly localized phase of the strong disorder regime, we observe ``glass-like'' behavior. However, well into the critical phase with a plasmon mobility edge, the system retains its crystalline composition. We predict that a transition between the two phases occurs at a critical value of the relative disorder strength. This transition has an experimental signature in the AC conductivity as a local maximum of the largest spectral amplitude as a function of the relative disorder strength.

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Shimul Akhanjee, Joseph Rudnick. 2008-06-02. Disorder induced transition into a one-dimensional Wigner glass. https://doi.org/10.1103/physrevlett.99.236403

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