Holographic superconductor/insulator transition at zero temperature

By T. Nishioka, S. Ryu, T. Takayanagi. 2009

250 citations recorded by the source corpus.

We analyze the five-dimensional AdS gravity coupled to a gauge field and a charged scalar field. Under a Scherk-Schwarz compactification, we show that the system undergoes a superconductor/insulator transition at zero temperature in 2 + 1 dimensions as we change the chemical potential. By taking into account a confinement/deconfinement transition, the phase diagram turns out to have a rich structure. We will observe that it has a similarity with the RVB (resonating valence bond) approach to high-Tc superconductors via an emergent gauge symmetry.

Subfields: Astronomy and Astrophysics, Atomic and Molecular Physics, and Optics, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/4deca3ded3206225d634f67d1e3dad775e2aba9c

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Astronomy and Astrophysics

1. S. Sachdev
2. S. Hartnoll
3. Benson Way
4. G. Horowitz
5. Andrew Lucas
6. D. Harlow
7. Run-Qiu Yang
8. R. Cai

In Atomic and Molecular Physics, and Optics

1. S. Sachdev
2. S. Hartnoll
3. Andrew Lucas
4. G. Horowitz
5. D. Harlow
6. Benson Way
7. Run-Qiu Yang
8. Li Li

In Nuclear and High Energy Physics

1. S. Sachdev
2. S. Hartnoll
3. Andrew Lucas
4. G. Horowitz
5. Benson Way
6. D. Harlow
7. R. Cai
8. Christopher P. Herzog

Citations in the corpus

• Quantum computation vs. firewalls (2013, background): “This transition has been previously discussed by [80].”
• Holographic Quantum Matter (2016, background): “The interplay of holographic superconductivity and confinement is studied in [395; 580].”
• Introduction to holographic superconductor models (2015, methodology): “[13] at zero temperature by taking the AdS soliton as the gravitational background in the Abelian-Higgs model.”
• Complete phase diagrams for a holographic superconductor/insulator system (2010, background): “When the scalar field is nonzero, there is an additional delta function at ω = 0 indicating the onset of superconductivity [11].”
• Electron stars for holographic metallic criticality (2010, unknown): “ scalar elds [26], Cooper pairing of charged fermions [27], emission of D branes [28, 29, 14], backreaction of a bulk fermionic charge density induced by the local chemical potential [14], connement [30, 31, 32], and perhaps the emergence of underlying lattice degrees of freedom [33]. It is not clea”
• What Can Gauge-Gravity Duality Teach Us about Condensed Matter Physics? (2011, background): “Confining geometries were also considered for the superfluid state [93, 94], and our present arguments indicate that these are traditional superfluids.”