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 better described by AdS-CMT duality.

Related concepts

• Sachdev-Ye-Kitaev model

• superconductor

• AdS/CFT in condensed matter physics

• metal, Landau's Fermi liquid theory

References

General

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)

and via the SYK-model:

• Subir Sachdev: Strange metals and black holes: insights from the Sachdev-Ye-Kitaev model, Oxford Research Encyclopedia of Physics (2023) [arXiv:2305.01001, doi:10.1093/acrefore/9780190871994.013.48]

• Subir Sachdev: Lectures on the quantum phase transitions of metals [arXiv:2407.15919]

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)

• Subir Sachdev, Quantum glasses, reparameterization invariance, Sachdev-Ye-Kitaev models [arXiv:2402.17824]

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 417 (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)

Via AdS/CMT duality

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

• V. Giangreco M. Puletti, S. Nowling, L. Thorlacius, T. Zingg: Holographic metals at finite temperature, J. High Energ. Phys. 2011 117 (2011) [doi:10.1007/JHEP01(2011)117, arXiv:1011.6261]

• 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]

• 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]

• Javier Carballo, Ayan K. Patra, Juan F. Pedraza: Diving inside holographic metals [arXiv:2408.07748]

• Benoit Doucot, Ayan Mukhopadhyay, Giuseppe Policastro, Sutapa Samanta, Hareram Swain: An effective framework for strange metallic transport [arXiv:2409.02993]

and via the SYK model:

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