Lectures on holographic superfluidity and superconductivity

By Christopher P. Herzog. 2009

880 citations recorded by the source corpus.

Four lectures on holography and the AdS/CFT correspondence applied to condensed matter systemsThese lectures were given at the Spring School on Superstring Theory and Related Topics (ICTP, Miramare, Trieste, Italy, 23–31 March, 2009).. The first lecture introduces the concept of a quantum phase transition. The second lecture discusses linear response theory and Ward identities. The third lecture presents transport coefficients derived from AdS/CFT that should be applicable in the quantum critical region associated with a quantum phase transition. The fourth lecture builds in the physics of a superconducting or superfluid phase transition to the simple holographic model of the third lecture.

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/020bdd090f9dc60f295f280d7cd20274c08ba4a2

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In Astronomy and Astrophysics

1. S. Hartnoll
2. S. Sachdev
3. Blaise Goutéraux
4. Aristomenis Donos
5. J. Gauntlett
6. T. Takayanagi
7. E. Kiritsis
8. V. Hubeny

In Nuclear and High Energy Physics

1. S. Hartnoll
2. S. Sachdev
3. Blaise Goutéraux
4. Aristomenis Donos
5. J. Gauntlett
6. E. Kiritsis
7. T. Takayanagi
8. V. Hubeny

Citations in the corpus

• Optical conductivity with holographic lattices (2012, background): “Over the past few years, it has been shown that various properties of condensed matter systems can be reproduced using general relativity [1, 2, 3, 4, 5].”
• A Holographic View on Physics out of Equilibrium (2010, background): “An excellent account of these efforts can be found in the reviews [12, 13, 7, 14].”
• The AdS/CFT correspondence (2014, neutral): “[117–119].”
• Numerical methods for finding stationary gravitational solutions (2015, background): “The most well-known examples are the holographic superconductors [220–222] (see also the review [26, 228–231]), which creates a near-horizon AdS2 geometry via a charged near-extremal planar Reissner-Nordström black hole.”
• Semi-local quantum liquids (2011, background): “For a holographic system at a nonzero chemical potential, this unstable phase sets in at an energy scale of order of the chemical potential, and then orders into other phases at lower energies, with previously known examples including holographic superconductors [5–7], antiferromagnetic-type states ”
• What Can Gauge-Gravity Duality Teach Us about Condensed Matter Physics? (2011, background): “I will only be able to present a very short summary of the principles of gauge-gravity duality here; the reader is referred to the many other reviews in the literature [10–18].”
• Holography of dyonic dilaton black branes (2010, background): “There is hope and excitement that these developments might lead to a better understanding of some quantum critical theories occurring in Nature, for example in superfluid-insulator transitions or in cuprate materials which exhibit high Tc superconductivity [1, 2, 3, 4, 5].”
• Gravity Dual of Spatially Modulated Phase (2009, methodology): “Instability of black holes in anti-de Sitter space has attracted much attention recently due to its relevance to quantum phase transitions in dual strongly interacting quantum field theory at finite density [1, 2].”
• Holographic Duality with a View Toward Many-Body Physics (2009, background): “If we put a charged boson in this geometry, we find the holographic superconductor phenomenon ([53, 54, 55], for a review see [56]).”
• Semi-holographic Fermi liquids (2010, neutral): “[4–7].”
• A general class of holographic superconductors (2009, neutral): “…. . . . . . . . . . . . . . . . . . . . . 5 2.2 Equations of motion . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 6 2.3 Boundary conditions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 7 2.4 Qualitative arguments for the existence of the transition . . . . . . . . . . 8”
• Analytical study on holographic superconductors in external magnetic field (2010, methodology): “Along this line, the application of the AdS/CFT correspondence to condensed matter physics has been widely studied [15–33](see [34, 35] for reviews) and recently a further progress beyond the”
• Thermoelectric DC conductivities from black hole horizons (2014, neutral): “These calculations, reviewed in [1, 2], utilise the fact that the conductivities are related to retarded Green’s functions via iωσ = GJJ(ω) etc.”
• Zero temperature limit of holographic superconductors (2009, background): “Although various properties of this theory have been discussed [1, 8], the actual zero temperature ground state”