Holographic Lattices, Dimers, and Glasses
arXiv:0909.2639 · doi:10.1103/PhysRevD.81.026007
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.
20 pages, 7 figures; v2: minor revisions made
References in corpus (17)
- Building an AdS/CFT superconductor
- Toward an AdS/cold atoms correspondence: a geometric realization of the Schroedinger symmetry
- Gravity duals for non-relativistic CFTs
- Lectures on Holographic Superfluidity and Superconductivity
- Theory of the Nernst effect near quantum phase transitions in condensed matter, and in dyonic black holes
- Viscosity, Black Holes, and Quantum Field Theory
- String Theory, Quantum Phase Transitions and the Emergent Fermi-Liquid
- A Non-Fermi Liquid from a Charged Black Hole; A Critical Fermi Ball
- Metallic AdS/CFT
- Holographic Wilson Loops
- Critical fermi surfaces and non-fermi liquid metals
- Wilson Loops of Anti-symmetric Representation and D5-branes
- Magnetic Brane Solutions in AdS
- Holographic Responses of Fermion Matter
- Valence Bond Entanglement Entropy
- Comments on Fermi Liquid from Holography
- The Stress-Energy Tensor of Flavor Fields from AdS/CFT
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