Academic
Publications
Gravity Dual of Spatially Modulated Phase

Gravity Dual of Spatially Modulated Phase,10.1103/PhysRevD.81.044018,Physical Review D,Shin Nakamura,Hirosi Ooguri,Chang-Soon Park

Gravity Dual of Spatially Modulated Phase   (Citations: 19)
BibTex | RIS | RefWorks Download
We analyze an instability that may be induced by a chiralanomaly at finite densities in a strongly-coupled gauge theory. We employ the gauge/gravity duality. The effect of the chiral anomaly is represented by a Chern-Simons (CS) term in the gravity dual and it has a tendency to induce an inhomogeneous flow of the global current, namely an inhomogeneous instability, at finite densities. From the viewpoint of general relativity, this can be a new instability of charged black holes induced by the CS term. However, as far as we have analyzed based on the supergravity, the potentially unstable modes turned out to be always barely stable. In terms of the gauge theory, the stability is protected due to the coupling between the global current and the stress-energy tensor.
Journal: Physical Review D - PHYS REV D , vol. 186, no. 4, pp. 528-533, 2010
Cumulative Annual
View Publication
The following links allow you to view full publications. These links are maintained by other sources not affiliated with Microsoft Academic Search.
    • ...Due to the presence of a Chern-Simons term, there is a more interesting kind of instability, 23 which can appear [77, 78]...
    • ...We would like to point out that the near horizon geometry, when there are background electric and magnetic fields, is in fact a fibered AdS2 × R 3 , not a direct product as in [77, 78]...
    • ...23 We would like to thank Hirosi Ooguri for pointing out this to us. 24 It was shown in [77, 78] that the near horizon analysis gives a sufficient but not necessary condition...
    • ...The reason is that, for the Reissner-Nordstr¨ case studied in [77, 78], there are unstable modes in the full bulk geometry that do not reduce to normalizable modes in the near horizon limit...

    Dumitru Astefaneseiet al. Moduli and electromagnetic black brane holography

    • ...Such electric congurations in the presence of a curved background can become unstable, as was emphasised in work of Nakamura, Park and Ooguri [2]...
    • ...Ooguri and Park [2, 4] has shown that in Maxwell theory with a Chern-Simons coupling turned on, a constant electric eld is unstable against decay to a spatially modulated phase, in which a magnetic eld transverse to the direction of the initial electric eld is switched on. Since the conguration with non-vanishing axial chemical potential ( amounts to having a non-vanishing electric eld in the bulk, we expect that an instability similar to ...

    C. A. Ballon Bayonaet al. A non-homogeneous ground state of the low-temperature Sakai-Sugimoto m...

    • ...According to [42] the addition of a topological term to the Maxwell action may induce such an instability and using this notation we can tune the coupling as an external parameter...

    Keun-Young Kimet al. The open string membrane paradigm with external electromagnetic fields

    • ...Back in the holographic world, familiar Abrikosov vortex lattices have been studied in superconductors in [34], while a spatially modulated phase was found to arise from the instability of bulk electric fields in 5d Chern-Simons theories [35, 36]...

    Stefano Bolognesiet al. Monopoles and holography

    • ...(though an obvious dierence is that our critical theory eectively sees only a single spatial direction, compared to the two in-plane directions in Sr3Ru2O7), and lead us to speculate whether in our case the extremal black hole phase is unstable and gives way to a new phase with reduced symmetry, as in [35]...

    Eric D’Hokeret al. Holographic metamagnetism, quantum criticality, and crossover behavior

Sort by: