Holographic superconductors with various condensates

By G. Horowitz, M. Roberts. 2008

421 citations recorded by the source corpus.

We extend earlier treatments of holographic superconductors by studying cases where operators of different dimension condense in both 2+1 and 3+1 superconductors. We also compute a correlation length. We find surprising regularities in quantities such as {omega}{sub g}/T{sub c} where {omega}{sub g} is the gap in the frequency dependent conductivity. In special cases, new bound states arise corresponding to vector normal modes of the dual near-extremal black holes.

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/815396c42e36fa88038372d5d37df3d94faad2fa

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Citations in the corpus

Lectures on holographic methods for condensed matter physics (2009, background): “The gap Eg can be computed for holographic superconductors [100, 107 ] and indeed is not”
Emergent gauge fields in holographic superconductors (2010, methodology): “This critical temperature is given by [1, 21 ]”
Phase transitions between Reissner-Nordstrom and dilatonic black holes in 4D AdS spacetime (2009, methodology): “Charged black hole solutions with scalar hairs in AdS were only found resorting to numerical computations [11, 30 ] and we shall follow the same approach here.”
Analytic calculation of properties of holographic superconductors (2010, methodology): “In recent years it has been shown using the AdSd+1/CFTd correspondence [3] that for d = 3 and d = 4 we can create a strongly coupled superconducting system from its gravitational dual [4–7], also including an external magnetic field [8, 9].”
Holographic endpoint of spatially modulated phase transition (2010, background): “a T(2) and a L(2) are determined linearly from a T(0) and a L(0). That is, a T(2) a L(2) = a T(0) a L(0) ; (5.5) for some 2 2 complex matrix . From the prescription in [9], and analogously to [10], the retarded Green’s functions for elds a T and a L are given by GR= 2 + 0 @ (!2 k2) log r r+ 1 2”
General relativity and the cuprates (2013, background): “(4)Curiously, in the probe limit at low temperature, Re(σ) is strongly suppressed for ω < ωg ≈ 8Tc, even if one changes ∆σ by changing the mass of the scalar field and spacetime dimension [27].”
Lectures on holographic superfluidity and superconductivity (2009, neutral): “[49] for special notice.”
Holographic Superconductors (2008, background): “The effect of other masses is discussed in [19].”
Further evidence for lattice-induced scaling (2012, background): “Imposing a homogeneous, oscillating electric field at infinity requires the asymptotic vector potential to behave like [25]”
Zero temperature limit of holographic superconductors (2009, background): “This produces a spike in the conductivity as seen in [11].”
Holographic superconductor/insulator transition at zero temperature (2009, background): “This system has been studied in [6] for different values of m(2).”
Analytic holographic superconductor (2010, background): “Up to a factor of two difference in the definition in J t and a minus one in the definition of 〈O2〉, these results agree well with Table 2 of [32].”
A general class of holographic superconductors (2009, background): “This behavior is qualitatively similar to the one observed in [27] for holographic superconductors in various dimensions as the bulk mass of the scalar approaches the BF bound.”
Introduction to holographic superconductor models (2015, background): “The temperature dependences of the coherence length ξ as well as the penetration length λ in the holographic model are both proportional to (Tc − T )−1/2 near the critical temperature [72, 74].”
Landscape of superconducting membranes (2009, background): “It was checked in [72] that the basic mechanism of holographic superconductivity generalises to AdS5.”