Landscape of superconducting membranes

By Frederik Denef, S. Hartnoll. 2009

218 citations recorded by the source corpus.

The AdS/CFT correspondence may connect the landscape of string vacua and the 'atomic landscape' of condensed matter physics. We study the stability of a landscape of IR fixed points of N=2 large N gauge theories in 2+1 dimensions, dual to Sasaki-Einstein compactifications of M theory, toward a superconducting state. By exhibiting instabilities of charged black holes in these compactifications, we show that many of these theories have charged operators that condense when the theory is placed at a finite chemical potential. We compute a statistical distribution of critical superconducting temperatures for a subset of these theories. With a chemical potential of 1 mV, we find critical temperatures ranging between 0.24 and 165 K.

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/b977e58de42961ddfcc4a29a78a9167448c41a68

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Citations in the corpus

Spatially modulated instabilities of magnetic black branes (2011, background): “Such superfluid black branes were first analysed in phenomenological theories of gravity [1, 2, 3] and then in consistent truncations of D = 10, 11 supergravity [4, 5, 6, 7].”
Consistent supersymmetric Kaluza-Klein truncations with massive modes (2009, background): “Note however, as noticed in [30], it is no longer possible to truncate to the field content of minimal gauged supergravity as in section 3.”
Lectures on holographic methods for condensed matter physics (2009, methodology): “6 we computed the dependence of a momentum relaxation (22)Alternatively, the string landscape might suggest approaching these values statistically [114].”
Zero temperature limit of holographic superconductors (2009, background): “We also review the condition for scalar hair to arise at low temperature [5].”
Introduction to holographic superconductor models (2015, unknown): “[23, 24, 25, 26, 27, 28].”
Flavor superconductivity from gauge/gravity duality (2009, background): “In particular, gauge/gravity duality models which exhibit properties known from superconductivity have recently been constructed [3–22].”
Introduction to Holographic Superconductors (2010, methodology): “A linearized instability of the type needed to describe a holographic superconductor was found in a string compactification in [ 14 ].”
Holographic Complexity Equals Bulk Action? (2015, background): “several explicit examples are known, including superconducting condensation of charged fields [25–27] [such fields are typically present in UV completions of Eq.”
Quantum oscillations and black hole ringing (2009, methodology): “Equally interesting are the cases in which the finite density theory admits gapless charged scalar excitations but no superconducting instability [7].”
Lectures on holographic non-Fermi liquids and quantum phase transitions (2011, background): “As was first pointed out in [87], the first instability essentially drives the original construction of the holographic superconductor.”
Quantum criticality and holographic superconductors in M-theory (2009, background): “Building on the work of [ 6 , 7], fully back reacted solutions of D = 11 supergravity that describe holographic superconductors in d = 3 spacetime dimensions were constructed in [8].”
Hidden Fermi surfaces in compressible states of gauge-gravity duality (2011, background): “[3] F.”
Ground states of holographic superconductors (2009, result): “Similar arguments can be found in earlier works, including [2, 8, 9, 24, 25].”