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Cited by 624

The DOI matches its Crossref record; 43 of the 43 references it cites were found in a registry or an index.

Theory of the Nernst effect near quantum phase transitions in condensed matter and in dyonic black holes

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Hartnoll, Sean A., Kovtun, Pavel K., Müller, Markus, Sachdev, Subir·2007·Physical Review B
DOI 10.1103/physrevb.76.144502
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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 $\ensuremath{\rho}$ 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 coefficients of a supersymmetric conformal field theory (CFT), which is solvable by the anti--de Sitter (AdS)/CFT correspondence. This correspondence maps the $\ensuremath{\rho}$ 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.

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Metadata

Authors
Hartnoll, S. A., Kovtun, P. K., Müller, M., & Sachdev, S.
Venue
Physical Review B
Publisher
American Physical Society (APS)
Published
2007-10-04
Volume
76
Issue
14
ISSN
  • 1098-0121 (ISSN-L)
  • 1550-235X
DOI
10.1103/physrevb.76.144502
OpenAlex
W2127240410
Cited by
624
References
43
FWCI
36.33
Type
journal article
Language
en
Open access
green

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