Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2009-09-14
Phys.Rev.D81:026007,2010
Physics
High Energy Physics
High Energy Physics - Theory
20 pages, 7 figures; v2: minor revisions made
Scientific paper
10.1103/PhysRevD.81.026007
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.
Kachru Shamit
Karch Andreas
Yaida Sho
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