Holographic lattices, dimers, and glasses

Journal Article · Fri Jan 15 00:00:00 EST 2010 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PHYSREVD.81.026007· OSTI ID:21409126

Kachru, Shamit; Karch, Andreas; Yaida, Sho ^[1]

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1. Kavli Institute for Theoretical Physics and Department of Physics, University of California, Santa Barbara, California 93106 (United States)

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.

• OSTI ID: 21409126
• Journal Information: Physical Review. D, Particles Fields, Vol. 81, Issue 2; Other Information: DOI: 10.1103/PhysRevD.81.026007; (c) 2010 The American Physical Society; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
CONFIGURATION
CRITICAL TEMPERATURE
D-BRANES
DIMERS
FERMIONS
GLASS
HOLOGRAPHY
IMPURITIES
LATTICE FIELD THEORY
MANY-DIMENSIONAL CALCULATIONS
PERIODICITY
PLASMA
TETRAGONAL LATTICES
TUNNEL EFFECT
BRANES
CONSTRUCTIVE FIELD THEORY
CRYSTAL LATTICES
CRYSTAL STRUCTURE
FIELD THEORIES
PHYSICAL PROPERTIES
QUANTUM FIELD THEORY
THERMODYNAMIC PROPERTIES
TRANSITION TEMPERATURE
VARIATIONS