Theory of the Nernst effect near quantum phase transitions in condensed matter, and in dyonic black holes
read the original abstract
We present a general hydrodynamic theory of transport in the vicinity of superfluid-insulator transitions in two spatial dimensions described by "Lorentz"-invariant quantum critical points. We allow for a weak impurity scattering rate, a magnetic field B, and a deviation in the density, \rho, from that of the insulator. We show that the frequency-dependent thermal and electric linear response functions, including the Nernst coefficient, are fully determined by a single transport coefficient (a universal electrical conductivity), the impurity scattering rate, and a few thermodynamic state variables. With reasonable estimates for the parameters, our results predict a magnetic field and temperature dependence of the Nernst signal which resembles measurements in the cuprates, including the overall magnitude. Our theory predicts a "hydrodynamic cyclotron mode" which could be observable in ultrapure samples. We also present exact results for the zero frequency transport co-efficients of a supersymmetric conformal field theory (CFT), which is solvable by the AdS/CFT correspondence. This correspondence maps the \rho and B perturbations of the 2+1 dimensional CFT to electric and magnetic charges of a black hole in the 3+1 dimensional anti-de Sitter space. These exact results are found to be in full agreement with the general predictions of our hydrodynamic analysis in the appropriate limiting regime. The mapping of the hydrodynamic and AdS/CFT results under particle-vortex duality is also described.
This paper has not been read by Pith yet.
Forward citations
Cited by 5 Pith papers
-
Linear response beyond hydrodynamic poles
Constructs a derivative expansion for linear response that matches multi-pole correlators while preserving hydrostaticity, then applies it to D3/D5 probe brane charge fluctuations to study quasihydrodynamic transport ...
-
Quantum critical theories in a periodic potential: strange metallic thermoelectric and magnetotransport
Holographic models of quantum critical 2D systems with zero-average periodic potentials show better conductivity, bad-metal electrical but Drude-like thermal transport, and approximately B-linear magnetoresistance.
-
Properties of black holes in non-linear electrodynamics
Analytic charged black holes in nonlinear electrodynamics with non-monotonic lapse functions support stable light rings and additional longer-lived quasinormal modes compared to Einstein gravity.
-
Properties of black holes in non-linear electrodynamics
Nonlinear electrodynamics black holes with non-monotonic lapse functions admit stable light rings and trapped near-horizon photon orbits that generate additional longer-lived quasinormal mode branches.
-
Black hole chemistry: thermodynamics with Lambda
Treating the cosmological constant as pressure in black hole thermodynamics yields an extended dictionary with enthalpy, thermodynamic volume, and chemical-like phase transitions including Van der Waals behavior, reen...
discussion (0)
Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.