Quantum oscillations and black hole ringing
By Frederik Denef, S. Hartnoll, S. Sachdev. 2009
140 citations recorded by the source corpus.
We show that strongly coupled field theories with holographic gravity duals at finite charge density and low temperatures can undergo de Haas-van Alphen quantum oscillations as a function of an external magnetic field. Exhibiting this effect requires computation of the one-loop contribution of charged bulk fermions to the free energy. The one-loop calculation is performed using a formula expressing determinants in black hole backgrounds as sums over quasinormal modes. At zero temperature, the periodic nonanalyticities in the magnetic susceptibility as a function of the inverse magnetic field depend on the low energy scaling behavior of fermionic operators in the field theory, and are found to be softer than in weakly coupled theories. We also obtain numerical and WKB results for the quasinormal modes of charged bosons in dyonic black hole backgrounds, finding evidence for nontrivial periodic behavior as a function of the magnetic field.
Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics, Statistical and Nonlinear Physics
View Paper: https://www.semanticscholar.org/paper/29f6bf128fe1bfe55cb63c5fc6ff2bda70aa600e
How researchers see this paper
The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.
In Astronomy and Astrophysics
In Nuclear and High Energy Physics
In Statistical and Nonlinear Physics
Citations in the corpus
- Hidden Fermi surfaces in compressible states of gauge-gravity duality (2011, background): “2) If we included the decay processes, this expression would be replaced by the determinant of the Dirac operator [7].”
- Holographic superconductor/insulator transition at zero temperature (2009, methodology): “For an application of the AdS/CFT to high-Tc, see [9,25,26,30], where in this scenario the anomalous transport in the strange metal phase is attributed to the quantum critical transport in the quantum critical regime of the zero temperature quantum critical point.”
- Overdamped modes in Schwarzschild-de Sitter and a Mathematica package for the numerical computation of quasinormal modes (2017, background): “he quasinormal frequencies of this eld are equal to the poles in the retarded Green’s function of the operator in the dual QFT[9,12]. By summing quasinormal modes one can compute one loop determinants[20]. Out of equilibrium gauge theory plasmas are dual to out of equilibrium asymptotically anti-de ”
- Electron stars for holographic metallic criticality (2010, unknown): “ nature of the charge carriers, such as a Fermi surface in the case of fermions. A Fermi surface appears not to be inherent to the gravitational geometry, but depends on the nature of external probes [21, 22, 23, 24, 25]. It is perhaps fortunate, therefore, that low temperature charged AdS black hol”
- Peculiar properties of a charged dilatonic black hole in AdS 5 (2009, result): “This seems in line with the calculations of one-loop bulk effects in [10].”
- Charged magnetic brane solutions in AdS5 and the fate of the third law of thermodynamics (2009, methodology): “This brane solution is known analytically for all ρ and B; its spectrum of small fluctuations may be obtained systematically, and used to compute physical quantities such as electric and thermal conductivities [1, 2, 3, 4, 5, 6, 7, 8, 9, 11, 12].”
- Inverse magnetic catalysis in dense holographic matter (2010, methodology): “t Landau level. This is remarkable since with the exception of the Sakai-Sugimoto model [34, 35], Landau-levellike structures have been discussed in the AdS/CFT literature only in bottom-up scenarios [36, 37, 38, 39]. Here we shall see that the top-down approach of the Sakai-Sugimoto model suggests ”
- Lectures on holographic non-Fermi liquids and quantum phase transitions (2011, background): “In the presence of a magnetic field, one can show that fermionic excitations fall into Landau levels [106, 109, 110] and that the free energy displays de-Haas van Alphen oscillations in the inverse magnetic field [111, 112].”
- What Can Gauge-Gravity Duality Teach Us about Condensed Matter Physics? (2011, background): “[73] F.”
- Holographic Quantum Matter (2016, methodology): “In [186; 187] formulae for these determinants were derived in terms of the quasinormal modes of the fluctuations.”