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arXiv · 0909.2639

Holographic Lattices, Dimers, and Glasses

Shamit Kachru·Andreas Karch·Sho Yaida
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Abstract

We holographically engineer a periodic lattice of localized fermionic impurities within a plasma medium by putting an array of probe D5-branes in the background produced by N D3-branes. Thermodynamic quantities are computed in the large N limit via the holographic dictionary. We then dope the lattice by replacing some of the D5-branes by anti-D5-branes. In the large N limit, we determine the critical temperature below which the system dimerizes with bond ordering. Finally, we argue that for the special case of a square lattice our system is glassy at large but finite N, with the low temperature physics dominated by a huge collection of metastable dimerized configurations without long-range order, connected only through tunneling events.

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Shamit Kachru, Andreas Karch, Sho Yaida. 2010-01-27. Holographic Lattices, Dimers, and Glasses. https://doi.org/10.1103/physrevd.81.026007

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