Analytic holographic superconductor
By Christopher P. Herzog. 2010
181 citations recorded by the source corpus.
We investigate a holographic superconductor that admits an analytic treatment near the phase transition. In the dual 3+1-dimensional field theory, the phase transition occurs when a scalar operator of scaling dimension two gets a vacuum expectation value. We calculate current-current correlation functions along with the speed of second sound near the critical temperature. We also make some remarks about critical exponents. An analytic treatment is possible because an underlying Heun equation describing the zero mode of the phase transition has a polynomial solution. Amusingly, the treatment here may generalize for an order parameter with any integer spin, and we propose a Lagrangian for a spin-two holographic superconductor.
Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics, Statistical and Nonlinear Physics
View Paper: https://www.semanticscholar.org/paper/0dc98536da621d9452960acabafbc50911a83db9
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In Astronomy and Astrophysics
- S. Sachdev
- S. Hartnoll
- Andrew Lucas
- M. Rangamani
- R. Myers
- Sayantani Bhattacharyya
- V. Hubeny
- Hong Liu
In Nuclear and High Energy Physics
In Statistical and Nonlinear Physics
Citations in the corpus
- A theory of first order dissipative superfluid dynamics (2011, methodology): “ssible to use the fluid gravity map [25, 26, 27, 28, 29, 22, 23, 30] to derive dissipative corrections to the equations of superfluid dynamics by extending the analytically tractable superfluid model of [31] which is valid close to the phase transition point. The constitutive relations so obtained fit w”
- Lectures on holographic non-Fermi liquids and quantum phase transitions (2011, background): “As have been discussed extensively in the literature [45, 89, 90] such finite temperature phase transitions are of mean field type due to that the boundary conditions at a finite-temperature black hole horizon is analytic.”
- Introduction to holographic superconductor models (2015, methodology): “88,189,190,191,192]. The analysis for the most part has been done numerically. To explore the properties of holographic superconductors using analytical techniques can be found, for example, in refs. [193,194,195,196,197,198,199,200,201,202,203,204]. Optimistically the growing literature based on ho”
- Holographic Quantum Matter (2016, background): “Indeed this is the case, and the only input of the full bulk solution is to fix the various phenomenological parameters in the Landau-Ginzburg action [371; 528; 605].”