Lectures on holographic methods for condensed matter physics

By S. Hartnoll. 2009

1,770 citations recorded by the source corpus.

These notes are loosely based on lectures given at the CERN Winter School on Supergravity, Strings and Gauge theories, February 2009, and at the IPM String School in Tehran, April 2009. I have focused on a few concrete topics and also on addressing questions that have arisen repeatedly. Background condensed matter physics material is included as motivation and easy reference for the high energy physics community. The discussion of holographic techniques progresses from equilibrium, to transport and to superconductivity.

Subfields: Astronomy and Astrophysics, Atomic and Molecular Physics, and Optics, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/ad7c9780052d5662a0ea48a3773cdd8cae67ffac

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Citations in the corpus

A Holographic View on Physics out of Equilibrium (2010, background): “An excellent account of these efforts can be found in the reviews [12, 13, 7, 14].”
Gravity Dual of Spatially Modulated Phase (2009, methodology): “Instability of black holes in anti-de Sitter space has attracted much attention recently due to its relevance to quantum phase transitions in dual strongly interacting quantum field theory at finite density [1, 2].”
Lifshitz solutions in supergravity and string theory (2010, background): “[ 2 , 3]), which also has many experimental systems believed to be governed by strongly coupled physics.”
Wilsonian approach to fluid/gravity duality (2010, background): “• Condensed matter / cold atoms One possible application is to the recent exciting work (for reviews see [36,37,38]) on trying to solve or understand a variety of condensed matter and cold atomic systems via the construction of holographic gravity duals.”
Probe branes, time-dependent couplings and thermalization in AdS/CFT (2010, methodology): “Such probe branes [25] have been used to model flavor physics [26–28] and quantum critical phenomena : this ”top-down” approach [29–33] is complementary to the ”bottom-up” approach involving the physics of charged black holes in AdS [10, 11, 34, 35].”
Quantum criticality and holographic superconductors in M-theory (2009, background): “Note that the thermal κ̄ and thermoelectric α conductivities can be easily determined once σ is known [36][3] .”
Effective holographic theories for low-temperature condensed matter systems (2010, background): “This new paradigm of strongly-coupled theories has been applied to understand the low-temperature dynamics of strongly-correlated electron systems (for recent progress, see [1, 2, 3, 4, 5]).”
An analytic Lifshitz black hole (2009, background): “Recently, attempts have been made to apply the holographic principle to study condensed matter systems near a critical point (for reviews, see [1, 2]).”
Introduction to holographic superconductor models (2015, neutral): “[54, 55, 56, 57, 58, 59] for more details.”
Holography of dyonic dilaton black branes (2010, background): “There is hope and excitement that these developments might lead to a better understanding of some quantum critical theories occurring in Nature, for example in superfluid-insulator transitions or in cuprate materials which exhibit high Tc superconductivity [1, 2, 3, 4, 5].”
Holographic superconductor/insulator transition at zero temperature (2009, methodology): “[9]) ds(2) = −f(r)dt(2) + L2f(r)−1dr2 + r(2)(dx(2) + dy(2) + dz(2)) , (3.”
From Navier-Stokes to Einstein (2011, neutral): “This observation has been developed in many directions [10,12,29,41–51].”
Semi-local quantum liquids (2011, background): “For a holographic system at a nonzero chemical potential, this unstable phase sets in at an energy scale of order of the chemical potential, and then orders into other phases at lower energies, with previously known examples including holographic superconductors [5–7], antiferromagnetic-type states ”
Holography of charged dilaton black holes (2009, background): “Perhaps the most pressing is the recent realization that AdS/CFT may provide a powerful tool for studying strongly-coupled toy models of condensed matter systems (for excellent reviews with rather different flavors see [5, 6, 7, 8]).”