Condensed Matter and AdS/CFT

By S. Sachdev. 2010

224 citations recorded by the source corpus.

I review two classes of strong coupling problems in condensed matter physics, and describe insights gained by application of the AdS/CFT correspondence. The first class concerns non-zero temperature dynamics and transport in the vicinity of quantum critical points described by relativistic field theories. I describe how relativistic structures arise in models of physical interest, present results for their quantum critical crossover functions and magneto-thermoelectric hydrodynamics. The second class concerns symmetry breaking transitions of two-dimensional systems in the presence of gapless electronic excitations at isolated points or along lines (i.e. Fermi surfaces) in the Brillouin zone. I describe the scaling structure of a recent theory of the Ising-nematic transition in metals, and discuss its possible connection to theories of Fermi surfaces obtained from simple AdS duals.

Subfields: Atomic and Molecular Physics, and Optics, Condensed Matter Physics, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/5695f42445d8b6738d58ab9e12c03bf83c979e3f

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Atomic and Molecular Physics, and Optics

1. S. Sachdev
2. Jorge E Santos
3. Andrew Strominger
4. V. Lysov
5. G. Horowitz
6. R. Myers
7. A. Singh
8. David Tong

In Condensed Matter Physics

1. G. Horowitz
2. R. Myers
3. David Tong
4. Andrew Strominger
5. A. Singh
6. V. Lysov
7. Cynthia Keeler
8. Irene Bredberg

In Nuclear and High Energy Physics

1. S. Sachdev
2. Jorge E Santos
3. S. Hartnoll
4. G. Horowitz
5. Andrew Strominger
6. Aristomenis Donos
7. A. Singh
8. David Tong

Citations in the corpus

• Lifshitz solutions in supergravity and string theory (2010, background): “[2]), which also has many experimental systems believed to be governed by strongly coupled physics.”
• Optical conductivity with holographic lattices (2012, background): “Over the past few years, it has been shown that various properties of condensed matter systems can be reproduced using general relativity [1, 2, 3, 4, 5].”
• Holographic Quantum Critical Transport without Self-Duality (2010, background): “A variety of holographic models displaying interesting properties, including superfluidity, superconductivity and Hall conductivity, have now been studied [4].”
• From Navier-Stokes to Einstein (2011, unknown): “This observation has been developed in many directions [10,12,29,41–51].”
• Holographic lattice in Einstein-Maxwell-dilaton gravity (2013, background): “In the past few years, there has been much progress in understanding strongly coupled condensed matter systems using the gauge/gravity duality (for recent reviews, see for instance [1–5]).”
• 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.”
• What Can Gauge-Gravity Duality Teach Us about Condensed Matter Physics? (2011, background): “str-el]] [18] S.”