Built on

M. Abramowitz, and I. A. Stegun, (Eds.). Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables, 9th printing. New York: Dover, 1972
1972
Earlier work this paper cites.
J. M. Maldacena, The Large N Limit of Superconformal Field Theories and Supergravity, Adv. Theor. Math. Phys. 2
1998
Earlier work this paper cites.
S. Ryu and T. Takayanagi, Phys. Rev. Lett. 96, 181602 (2006) [arXiv:hep-th/0603001]
2006
Earlier work this paper cites.
H. T. Quan, Z. Song, X. F. Liu, P. Zanardi, and C. P. Sun, Decay of loschmidt echo enhanced by quantum criticality, Phys. Rev. Lett. 96, 140604 (2006)
2006
Earlier work this paper cites.
P. Zanardi and N. Paunkovíc, Ground state overlap and quantum phase transitions, Phys. Rev. E 74, 031123 (2006)
2006
Earlier work this paper cites.
P. Zanardi, P. Giorda, and M. Cozzini, Information-theoretic differential geometry of quantum phase transitions, Phys. Rev. Lett. 99, 100603 (2007)
2007
Earlier work this paper cites.
S.A. Hartnoll, Lectures on holographic methods for condensed matter physics, Class. Quant. Grav. 26
2009
Earlier work this paper cites.
C.P. Herzog, Lectures on holographic superfluidity and superconductivity, J. Phys. A 42
2009
Earlier work this paper cites.
R. Gregory, S. Kanno and J. Soda, Holographic Superconductors with Higher Curvature Corrections, JHEP 10 (2009) 010 [arXiv:0907.3203[hep-th]]
Original
2009
Earlier work this paper cites.
G.T. Horowitz, Introduction to Holographic Superconductors, (2010)[arXiv: 1002.1722 [hep-th]]
2010
Earlier work this paper cites.
R. Cai and H. Zhang, Holographic Superconductors with Hoˇrava-Lifshitz Black Holes, Phys. Rev. D 81, 066003 (2010) [arXiv:0911.4867[hep-th]]
Original
2010
Earlier work this paper cites.

Similar

J. Jing and S. Chen, Holographic superconductors in the Born-Infeld electrodynamics, Phys. Lett. B 686 (2010) 68 [arXiv:1001.4227[hep-th]]
Original
2010
Cited alongside, same era.
T. Nishioka, S. Ryu and T. Takayanagi, Holographic superconductor/insulator transition at zero temperature, JHEP 03 (2010) 131 [arXiv:0911.0962[hep-th]]
Original
2010
Cited alongside, same era.
G.T. Horowitz and B. Way, Complete phase diagrams for a holographic superconductor/insulator system, JHEP 11 (2010) 011 [arXiv:1007.3714[hep-th]]
Original
2010
Cited alongside, same era.
J. Ren, One-dimensional holographic superconductor from A d S 3 / C F T 2 AdS_{3}/CFT_{2} correspondence, JHEP. 11, 055 (2010) [arXiv:1008.3904[hep-th]]
Original
2010
Cited alongside, same era.
C.P. Herzog, An Analytic Holographic Superconductor, Phys. Rev. D 81

Then

L. Susskind, Addendum to Computational Complexity and Black Hole Horizons, (2014) [arXiv:1403.5695 [hep-th]]
Original
2014
Later among the works it cites.
L. Susskind, Computational Complexity and Black Hole Horizons, (2014) [arXiv:1402.5674 [hep-th]]
Original
2014
Later among the works it cites.
D. Stanford and L. Susskind, Complexity and Shock Wave Geometries, Phys. Rev. D 90
Original
2014
Later among the works it cites.
M. Alishahiha, Holographic Complexity, Phys. Rev. D 92, 126009 (2015) [arXiv:1509.06614 [hep-th]]
Original
2015
Later among the works it cites.
D. Momeni, H. Gholizade, M. Raza and R. Myrzakulov, Holographic Entanglement Entropy in 2D Holographic Superconductor via A d S 3 / C F T 2 AdS_{3}/CFT_{2} , Phys. Lett. B 747 (2015) 417

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2016

Holographic Complexity in Gauge/String Superconductors

Momeni, Davood, Mansoori, Seyed Ali Hosseini, Myrzakulov, Ratbay

Understand

Following a methodology similar to \cite{Alishahiha:2015rta}, we derive a holographic complexity for two dimensional holographic superconductors (gauge/string superconductors) with backreactions.

Applying a perturbation method proposed by Kanno in Ref.
\cite{kanno}, we study behaviors of the complexity for a dual quantum system near critical points.
We show that when a system moves from the normal phase ($T>T_c$) to the superconductor phase ($T<T_c$), the holographic complexity will be divergent.

Built on

M. Abramowitz, and I. A. Stegun, (Eds.). Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables, 9th printing. New York: Dover, 1972
1972
Earlier work this paper cites.
J. M. Maldacena, The Large N Limit of Superconformal Field Theories and Supergravity, Adv. Theor. Math. Phys. 2
1998
Earlier work this paper cites.
S. Ryu and T. Takayanagi, Phys. Rev. Lett. 96, 181602 (2006) [arXiv:hep-th/0603001]
2006
Earlier work this paper cites.
H. T. Quan, Z. Song, X. F. Liu, P. Zanardi, and C. P. Sun, Decay of loschmidt echo enhanced by quantum criticality, Phys. Rev. Lett. 96, 140604 (2006)
2006
Earlier work this paper cites.
P. Zanardi and N. Paunkovíc, Ground state overlap and quantum phase transitions, Phys. Rev. E 74, 031123 (2006)
2006
Earlier work this paper cites.
P. Zanardi, P. Giorda, and M. Cozzini, Information-theoretic differential geometry of quantum phase transitions, Phys. Rev. Lett. 99, 100603 (2007)
2007
Earlier work this paper cites.
S.A. Hartnoll, Lectures on holographic methods for condensed matter physics, Class. Quant. Grav. 26
2009
Earlier work this paper cites.
C.P. Herzog, Lectures on holographic superfluidity and superconductivity, J. Phys. A 42
2009
Earlier work this paper cites.
R. Gregory, S. Kanno and J. Soda, Holographic Superconductors with Higher Curvature Corrections, JHEP 10 (2009) 010 [arXiv:0907.3203[hep-th]]
Original
2009
Earlier work this paper cites.
G.T. Horowitz, Introduction to Holographic Superconductors, (2010)[arXiv: 1002.1722 [hep-th]]
2010
Earlier work this paper cites.
R. Cai and H. Zhang, Holographic Superconductors with Hoˇrava-Lifshitz Black Holes, Phys. Rev. D 81, 066003 (2010) [arXiv:0911.4867[hep-th]]
Original
2010
Earlier work this paper cites.

Similar

J. Jing and S. Chen, Holographic superconductors in the Born-Infeld electrodynamics, Phys. Lett. B 686 (2010) 68 [arXiv:1001.4227[hep-th]]
Original
2010
Cited alongside, same era.
T. Nishioka, S. Ryu and T. Takayanagi, Holographic superconductor/insulator transition at zero temperature, JHEP 03 (2010) 131 [arXiv:0911.0962[hep-th]]
Original
2010
Cited alongside, same era.
G.T. Horowitz and B. Way, Complete phase diagrams for a holographic superconductor/insulator system, JHEP 11 (2010) 011 [arXiv:1007.3714[hep-th]]
Original
2010
Cited alongside, same era.
J. Ren, One-dimensional holographic superconductor from A d S 3 / C F T 2 AdS_{3}/CFT_{2} correspondence, JHEP. 11, 055 (2010) [arXiv:1008.3904[hep-th]]
Original
2010
Cited alongside, same era.
C.P. Herzog, An Analytic Holographic Superconductor, Phys. Rev. D 81

Then

L. Susskind, Addendum to Computational Complexity and Black Hole Horizons, (2014) [arXiv:1403.5695 [hep-th]]
Original
2014
Later among the works it cites.
L. Susskind, Computational Complexity and Black Hole Horizons, (2014) [arXiv:1402.5674 [hep-th]]
Original
2014
Later among the works it cites.
D. Stanford and L. Susskind, Complexity and Shock Wave Geometries, Phys. Rev. D 90
Original
2014
Later among the works it cites.
M. Alishahiha, Holographic Complexity, Phys. Rev. D 92, 126009 (2015) [arXiv:1509.06614 [hep-th]]
Original
2015
Later among the works it cites.
D. Momeni, H. Gholizade, M. Raza and R. Myrzakulov, Holographic Entanglement Entropy in 2D Holographic Superconductor via A d S 3 / C F T 2 AdS_{3}/CFT_{2} , Phys. Lett. B 747 (2015) 417

Beyond the bibliography

alphaXiv searches the wider corpus for related work and actual follow-ups.

Open on alphaXiv

alphaXiv is searching for related work…

Original

2010

Cited alongside, same era.

S. Kanno, A Note on Gauss-Bonnet Holographic Superconductors, Class.Quant. Grav. 28: 127001 (2011) [arXiv:1103.5022[hep-th]]

Original

2011

Cited alongside, same era.

Y. Liu, Q. Pan, B. Wang, Holographic superconductor developed in BTZ black hole background with backreactions, Phys. Lett. B 702

Original

2011

Cited alongside, same era.

T. Albash and C.V. Johnson, Holographic studies of entanglement entropy in superconductors, JHEP 05 (2012) 079 [arXiv:1202.2605[hep-th]]

Original

2012

Cited alongside, same era.

T. Albash and C. V. Johnson, Holographic entanglement entropy and renormalization group flow, JHEP 02

2012

Cited alongside, same era.

X. H. Ge and H. Q. Leng, Analytical calculation on critical magnetic field in holographic superconductors with backreaction, Prog. Theor. Phys. 128

Original

2012

Cited alongside, same era.

D. Momeni, M. Raza, M. R. Setare and R. Myrzakulov, Analytical Holographic Superconductor with Backreaction Using A d S 3 / C F T 2 AdS_{3}/CFT_{2} , Int. J. Theor. Phys. 52

2013

Cited alongside, same era.

2015