Electron stars for holographic metallic criticality

By S. Hartnoll, Alireza Tavanfar. 2010

222 citations recorded by the source corpus.

We refer to the ground state of a gravitating, charged ideal fluid of fermions held at a finite chemical potential as an ''electron star.'' In a holographic setting, electron stars are candidate gravity duals for strongly interacting finite fermion density systems. We show how electron stars develop an emergent Lifshitz scaling at low energies. This IR scaling region is a consequence of the two-way interaction between emergent quantum critical bosonic modes and the finite density of fermions. By integrating from the IR region to an asymptotically AdS{sub 4} spacetime, we compute basic properties of the electron stars, including their electrical conductivity. We emphasize the challenge of connecting UV and IR physics in strongly interacting finite density systems.

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/283ddb3fdfe18183a97ebfc5161c9bb1c26c0e4d

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

1. R. Myers
2. S. Sachdev
3. T. Takayanagi
4. S. Hartnoll
5. V. Hubeny
6. Andrew Lucas
7. T. Faulkner
8. J. Maldacena

In Nuclear and High Energy Physics

1. R. Myers
2. S. Sachdev
3. T. Takayanagi
4. S. Hartnoll
5. V. Hubeny
6. T. Faulkner
7. Andrew Lucas
8. J. Maldacena

In Statistical and Nonlinear Physics

1. R. Myers
2. T. Takayanagi
3. S. Sachdev
4. T. Faulkner
5. D. Harlow
6. V. Hubeny
7. Shira Chapman
8. H. Marrochio

Citations in the corpus

• Momentum relaxation in holographic massive gravity (2013, background): “ion. As previously stated, the power of the leading term in Re(σ) at small ω is controlled by the CFT1 dual to the near-horizon geometry. A similar power law holds for many other holographic theories [65,66]. When m2 α,m 2 β 6= 0, our background solution (6) still possesses an AdS 2 near-horizon geo”
• Semi-local quantum liquids (2011, background): “[62] works in the “electron star” geometry [43, 44] which is also characterized by an IR Lifshitz geometry, but with z ∼ O(1), for which there is not an intermediate AdS2 region.”
• Holographic Quantum Matter (2016, background): “Further discussion of the conditions for the WKB limit to hold can be found in [24; 53; 177; 360].”
• Aspects of holography for theories with hyperscaling violation (2012, background): “s of scaling metrics. Such theories have been studied in e.g. [10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21] (with very similar metrics also characterizing the \electron stars" studied in e.g. [22]). By including both an abelian gauge eld and the scalar dilaton, one can in particular engineer”
• Strongly correlated quantum fluids: ultracold quantum gases, quantum chromodynamic plasmas and holographic duality (2012, background): “For example, it has been shown that incorporating gravitational effects can change the results dramatically at low energy, with the black hole in some cases vomiting forth its charge and disappearing, leaving behind an electron star which is extremely dense but completely smooth, much like a neutron”
• Lectures on holographic non-Fermi liquids and quantum phase transitions (2011, background): “28) has been generalized to have a z ∼ O(N) in [131] (see also [132–134]).”
• Superradiance (2015, background): “n tT c.0:06. From Ref. [302]. the bosonic case. The result of this process is the population of a Fermi sea delimited by a Fermi surface outside the BH, giving rise to so-called \electron stars" [303] which are the (planar, AdS) cousins of astrophysical NSs. 5.6 Massive bosonic elds So far we h”
• Hidden Fermi surfaces in compressible states of gauge-gravity duality (2011, methodology): “[15] S.”
• Holographic Fermi surfaces and entanglement entropy (2011, methodology): “Recently, there have been exciting progresses on the holographic realizations of Fermi surfaces using the AdS/CFT such as the ones using the Reissner-Nordström black holes [2–7] and the starlike solutions, called electron stars [8–12].”
• Holographic complexity in Vaidya spacetimes. Part II (2018, methodology): “into account the action of the matter elds in the collapsing shell. Hence, we present here a construction of the action principle for a null uid, which is inspired in part by the uid actions given in [67,68].4 Let us also note that, a null uid action was also constructed in [76] using a complementar”
• Superradiance: Energy Extraction, Black-Hole Bombs and Implications for Astrophysics and Particle Physics (2015, background): “The result of this process is the population of a Fermi sea delimited by a Fermi surface outside the BH, giving rise to so-called “electron stars” [318] which are the (planar, AdS) cousins of astrophysical NSs.”
• Holographic complexity in Vaidya spacetimes. Part I (2018, background): “In this sense, φ plays a role analogous to the velocity potential in potential flows [68].”
• Holographic Fermi and non-Fermi liquids with transitions in dilaton gravity (2011, background): “Or to allow for a bulk Fermi sea in the nearhorizon region and incorporate the changes this leads to [25], [39], [40] (35).”
• AdS and Lifshitz black holes in conformal and Einstein-Weyl gravities (2012, methodology): “For example, solutions were found by introducing 1-form and 2-form gauge fields [39]; a massive vector field [42]; in an abelian Higgs model [43]; and with a charged perfect fluid [44].”
• Quantum corrections to holographic entanglement entropy (2013, background): “See for example [45–47], where such logarithmic violations are expected due to the appearance of bulk fermi surfaces.”