nLab strange metal

Idea

In solid state physics a strange metal is a metallic phase of matter which is not described well by Landau's Fermi liquid theory of small perturbations about the Fermi sea.

Known strange metals exhibit topological order in that their ground state has long-range entanglement (a topological phase of matter). Instead of by Fermi liquid theory, strange metals are well described by AdS/CFT in condensed matter physics.

Related concepts

• Sachdev-Ye-Kitaev model

• superconductor

• AdS/CFT in condensed matter physics

• metal, Landau's Fermi liquid theory

References

Review:

• Amoretti 17, Sec. I.2

• Richard L. Greene, Pampa R. Mandal, Nicholas R. Poniatowski, and Tarapada Sarkar, The Strange Metal State of the Electron-Doped Cuprates, Annual Review of Condensed Matter Physics, Vol. 11:213-229 (2020) (doi:10.1146/annurev-conmatphys-031119-050558)

See also:

• Wikipedia, Non-Fermi liquids

• Subir Sachdev, Debanjan Chowdhury, The novel metallic states of the cuprates: Fermi liquids with topological order, and strange metals, Progress of Theoretical and Experimental Physics 2016, 12C102 (arXiv:1605.03579)

• Eunseok Oh, Taewon Yuk, Sang-Jin Sin, The emergence of Strange metal and Topological Liquid near Quantum Critical Point in a solvable model, Annals of Physics Volume 417, June 2020, 168138 (arXiv:2103.08166)

Models:

• Edwin W. Huang, Ryan Sheppard, Brian Moritz, Thomas P. Devereaux, Strange metallicity in the doped Hubbard model, Science 22 Nov 2019: Vol. 366, Issue 6468, pp. 987-990 (doi:10.1126/science.aau7063)

More on relation of strange metals to high-temperature superconductivity:

• Konstantin Tikhonov, Mikhail Feigel’man, Strange metal state near quantum superconductor-metal transition in thin films, Annals of Physics Volume 417, June 2020, 168138 (arXiv:2002.08107, doi:10.1016/j.aop.2020.168138)

Relation of strange metals/high-temperature superconductors to confinement:

• J. P. Rodriguez, Pascal Lederer, Confinement of Spin and Charge in High-Temperature Superconductors, Phys. Rev. B 53, R11980(R) 1996 (arXiv:cond-mat/9604109)

Discussion of strange metals/high-temperature superconductors via AdS/CFT in condensed matter physics:

• Sean Hartnoll, Andrew Lucas, Subir Sachdev, Holographic quantum matter, MIT Press 2018 (arXiv:1612.07324, publisher)

• Andrea Amoretti, Condensed Matter Applications of AdS/CFT: Focusing on strange metals, 2017 (spire:1610363, pdf)

via the SYK model:

• Subir Sachdev, Statistical mechanics of strange metals and black holes (arXiv:2205.02285)

On strange metals, high $T_c$-superconductors and AdS/CMT duality:

• Jan Zaanen, Planckian dissipation, minimal viscosity and the transport in cuprate strange metals, SciPost Phys. 6, 061 (2019) (arXiv:1807.10951)

• Jan Zaanen, Lectures on quantum supreme matter (arXiv:2110.00961)