Holographic Type II Goldstone bosons
arXiv:1302.5641
Abstract
The Goldstone theorem implies the appearance of an ungapped mode whenever a continuous global symmetry is spontaneously broken. In general it does not say anything about the precise form of the dispersion relation nor does it imply that there is one massless mode for each broken symmetry generator. It is a well-established fact that even for relativistic field theories in the presence of a chemical potential Goldstone modes with quadratic dispersion relation, the type II Goldstone bosons, appear in the spectrum. We develop two holographic models that feature type II Goldstone modes as part of the quasinormal mode spectrum. The models are based on simple generalizations with U(2) symmetry of the well-studied holographic s-wave superfluid. Our results include Goldstone modes without broken generators but with unusual realization of symmetries and a frequency dependent conductivity of striking resemblance to the one of Graphene.
47 pages, 21 figures; v2: references and clarifications added, typos corrected
References in corpus (31)
- Quasinormal modes of black holes and black branes
- Building an AdS/CFT superconductor
- Lectures on holographic methods for condensed matter physics
- AdS/CFT Correspondence and Symmetry Breaking
- Minkowski-space correlators in AdS/CFT correspondence: recipe and applications
- Nonlinear Fluid Dynamics from Gravity
- Breaking an Abelian gauge symmetry near a black hole horizon
- Quasinormal Modes of AdS Black Holes and the Approach to Thermal Equilibrium
- Schwinger-Keldysh Propagators from AdS/CFT Correspondence
- The gravity dual of a p-wave superconductor
- Holographic model of superfluidity
- Holographic superconductivity in M-Theory
- Unified Description of Nambu-Goldstone Bosons without Lorentz Invariance
- Superconductors from Superstrings
- Superconductivity from gauge/gravity duality with flavor
- Counting rule for Nambu-Goldstone modes in nonrelativistic systems
- Kaon Condensation and Goldstone's Theorem
- Supercurrent: Vector Hair for an AdS Black Hole
- On the number of Nambu-Goldstone bosons and its relation to charge densities
- Redundancies in Nambu-Goldstone Bosons
- Holographic Superfluids and the Dynamics of Symmetry Breaking
- Towards A Holographic Model of D-Wave Superconductors
- Spontaneous Symmetry Breaking with Abnormal Number of Nambu-Goldstone Bosons and Kaon Condensate
- Supergravity Instabilities of Non-Supersymmetric Quantum Critical Points
- Holographic zero sound at finite temperature
- Unbalanced Holographic Superconductors and Spintronics
- Hydrodynamics and beyond in the strongly coupled N=4 plasma
- Spontaneous rotational symmetry breaking and roton like excitations in gauged sigma-model at finite density
- Remarks on nonrelativistic Goldstone bosons
- Flavor Superconductivity & Superfluidity
- Conductivity and quasinormal modes in holographic theories
Cited by in corpus (10)
- A holographic perspective on phonons and pseudo-phonons
- Competition and Coexistence of Order Parameters in Holographic Multi-Band Superconductors
- Introductory notes on holographic superconductors
- Condensate flow in holographic models in the presence of dark matter
- Analytic pseudo-Goldstone bosons
- Spontaneous current in an holographic s+p superfluid
- Hydrodynamic Modes of a holographic wave superfluid
- Analytical coexistence of s, p, s + p phases of a holographic superconductor
- A Note on Holographic Non-Relativistic Goldstone Bosons
- Holographic equilibration in confining gauge theories under external magnetic fields