Gapless superconductivity and string theory
Abstract
Coexistence of superconducting and normal components in nanowires at currents below the critical (a "mixed" state) would have important consequences for the nature and range of potential applications of these systems. For clean samples, it represents a genuine interaction effect, not seen in the mean-field theory. Here in this paper we consider properties of such a state in the gravity dual of a strongly coupled superconductor constructed from D3 and D5 branes. We find numerically uniform gapless solutions containing both components but argue that they are unstable against phase separation, as their free energies are not convex. We speculate on the possible nature of the resulting non-uniform sate ("emulsion") and draw analogies between that state and the familiar mixed state of a type II superconductor in a magnetic field.
- Authors:
- Publication Date:
- Research Org.:
- Purdue Univ., West Lafayette, IN (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC)
- OSTI Identifier:
- 1197892
- Alternate Identifier(s):
- OSTI ID: 1454540
- Grant/Contract Number:
- SC0007884
- Resource Type:
- Journal Article: Published Article
- Journal Name:
- Nuclear Physics. B
- Additional Journal Information:
- Journal Name: Nuclear Physics. B Journal Volume: 887 Journal Issue: C; Journal ID: ISSN 0550-3213
- Publisher:
- Elsevier
- Country of Publication:
- Netherlands
- Language:
- English
- Subject:
- 75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY
Citation Formats
Khlebnikov, Sergei. Gapless superconductivity and string theory. Netherlands: N. p., 2014.
Web. doi:10.1016/j.nuclphysb.2014.07.026.
Khlebnikov, Sergei. Gapless superconductivity and string theory. Netherlands. https://doi.org/10.1016/j.nuclphysb.2014.07.026
Khlebnikov, Sergei. 2014.
"Gapless superconductivity and string theory". Netherlands. https://doi.org/10.1016/j.nuclphysb.2014.07.026.
@article{osti_1197892,
title = {Gapless superconductivity and string theory},
author = {Khlebnikov, Sergei},
abstractNote = {Coexistence of superconducting and normal components in nanowires at currents below the critical (a "mixed" state) would have important consequences for the nature and range of potential applications of these systems. For clean samples, it represents a genuine interaction effect, not seen in the mean-field theory. Here in this paper we consider properties of such a state in the gravity dual of a strongly coupled superconductor constructed from D3 and D5 branes. We find numerically uniform gapless solutions containing both components but argue that they are unstable against phase separation, as their free energies are not convex. We speculate on the possible nature of the resulting non-uniform sate ("emulsion") and draw analogies between that state and the familiar mixed state of a type II superconductor in a magnetic field.},
doi = {10.1016/j.nuclphysb.2014.07.026},
url = {https://www.osti.gov/biblio/1197892},
journal = {Nuclear Physics. B},
issn = {0550-3213},
number = C,
volume = 887,
place = {Netherlands},
year = {Wed Oct 01 00:00:00 EDT 2014},
month = {Wed Oct 01 00:00:00 EDT 2014}
}
Works referenced in this record:
Gravity dual of spatially modulated phase
journal, February 2010
- Nakamura, Shin; Ooguri, Hirosi; Park, Chang-Soon
- Physical Review D, Vol. 81, Issue 4
The large $N$ limit of superconformal field theories and supergravity
journal, January 1998
- Maldacena, Juan
- Advances in Theoretical and Mathematical Physics, Vol. 2, Issue 2
Decay of Persistent Currents in Small Superconductors
journal, April 1967
- Little, William A.
- Physical Review, Vol. 156, Issue 2
Anti de Sitter space and holography
journal, January 1998
- Witten, Edward
- Advances in Theoretical and Mathematical Physics, Vol. 2, Issue 2
Supercurrent: Vector hair for an AdS black hole
journal, February 2009
- Basu, Pallab; Mukherjee, Anindya; Shieh, Hsien-Hang
- Physical Review D, Vol. 79, Issue 4
Holographic phase transitions at finite baryon density
journal, February 2007
- Kobayashi, Shinpei; Mateos, David; Matsuura, Shunji
- Journal of High Energy Physics, Vol. 2007, Issue 02
Propagating plasma mode in thin superconducting filaments
journal, July 1985
- Mooij, J. E.; Schön, Gerd
- Physical Review Letters, Vol. 55, Issue 1
Quasiparticle Scattering by Quantum Phase Slips in One-Dimensional Superfluids
journal, August 2004
- Khlebnikov, S.
- Physical Review Letters, Vol. 93, Issue 9
Holographic model of superfluidity
journal, March 2009
- Herzog, C. P.; Kovtun, P. K.; Son, D. T.
- Physical Review D, Vol. 79, Issue 6
Aspects of large gauge theory dynamics as seen by string theory
journal, October 1998
- Gross, David J.; Ooguri, Hirosi
- Physical Review D, Vol. 58, Issue 10
Gauge theory correlators from non-critical string theory
journal, May 1998
- Gubser, S. S.; Klebanov, I. R.; Polyakov, A. M.
- Physics Letters B, Vol. 428, Issue 1-2
Breaking an Abelian gauge symmetry near a black hole horizon
journal, September 2008
- Gubser, Steven S.
- Physical Review D, Vol. 78, Issue 6
Type IIB superstrings, BPS monopoles, and three-dimensional gauge dynamics
journal, May 1997
- Hanany, Amihay; Witten, Edward
- Nuclear Physics B, Vol. 492, Issue 1-2
Superconductivity from gauge/gravity duality with flavor
journal, October 2009
- Ammon, Martin; Erdmenger, Johanna; Kaminski, Matthias
- Physics Letters B, Vol. 680, Issue 5
Building a Holographic Superconductor
journal, July 2008
- Hartnoll, Sean A.; Herzog, Christopher P.; Horowitz, Gary T.
- Physical Review Letters, Vol. 101, Issue 3
Dirichlet Branes and Ramond-Ramond Charges
journal, December 1995
- Polchinski, Joseph
- Physical Review Letters, Vol. 75, Issue 26
Black strings and p-branes
journal, August 1991
- Horowitz, Gary T.; Strominger, Andrew
- Nuclear Physics B, Vol. 360, Issue 1