Thermodynamics of Holographic Defects

Abstract

Using the AdS/CFT correspondence, we study the thermodynamic properties and the phase diagram of matter fields on (2+1)-dimensional defects coupled to a (3+1)-dimensional N=4 SYM "heat bath". Considering a background magnetic field, (net) quark density, defect "magnitude" $\delta N_c$ and the mass of the matter, we study the defect contribution to the thermodynamic potentials and their first and second derivatives to map the phases and study their physical properties. We find some features that are qualitatively similar to other systems e.g. in (3+1) dimensions and a number of features that are particular to the defect nature, such as its magnetic properties, unexpected properties at T->0 and finite density; and the finite $\delta N_c$ effects, e.g. a diverging susceptibility and vanishing density of states at small temperatures, a physically consistent negative heat capacity and new types of consistent phases.

33 pages, 16 figures (jpg and pdf), typos fixed and references added, final version published in JHEP

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Cited by in corpus (10)

• Fermionic Operator Mixing in Holographic p-wave Superfluids
• Phase diagram of the D3/D5 system in a magnetic field and a BKT transition
• A Holographic Quantum Critical Point at Finite Magnetic Field and Finite Density
• Non Mean-Field Quantum Critical Points from Holography
• Quantum phase transition in a Dp-Dq system
• Massive Quantum Liquids from Holographic Angel's Trumpets
• Holographic Wilson Loops, Dielectric Interfaces, and Topological Insulators
• Three Roads to Probe-Brane Superconductivity
• Critical point in a holographic defect field theory
• Physical Response Functions of Strongly Coupled Massive Quantum Liquids