Abstract
The holographic duality allows to construct and study models of strongly coupled quantum matter via dual gravitational theories. In general such models are characterized by the absence of quasiparticles, hydrodynamic behavior and Planckian dissipation times. One particular interesting class of quantum materials are ungapped topological semimetals which have many interesting properties from Hall transport to topologically protected edge states. We review the application of the holographic duality to this type of quantum matter including the construction of holographic Weyl semimetals, nodal line semimetals, quantum phase transition to trivial states (ungapped and gapped), the holographic dual of Fermi arcs and how new unexpected transport properties, such as Hall viscosities arise. The holographic models promise to lead to new insights into the properties of this type of quantum matter.
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This work was supported by the National Key Research and Development Program of China (Grant No. 2018FYA0305800), and the Thousand Young Talents Program of China. The work of Yan Liu was also supported by the National Natural Science Foundation of China (Grant No. 11875083). The work of Ya-Wen Sun has also been partly supported by starting grants from University of Chinese Academy of Sciences and Chinese Academy of Sciences, the Key Research Program of Chinese Academy of Sciences (Grant No. XDPB08-1), and the Strategic Priority Research Program of Chinese Academy of Sciences (Grant No. XDB28000000). The work of Karl Landsteiner was supported by the MCIU/AEI/FEDER, UE (Grant Nos. SEV-2016-0597, FPA2015-65480-P, and PGC2018-095976-B-C21). We would like to thank Daniel Arean, Matteo Baggioli, Rong-Gen Cai, Alberto Cortijo, Chen Fang, Carlos Hoyos, Amadeo Jimenez, Eugenio Megías, Elias Kiritsis, Koenraad Schalm, Francisco Pena-Benitez, Maria Vozmediano, Zhong Wang, Jan Zaanen, FuChun Zhang for useful discussions and C. Copetti, J. Fernandez-Pendás, XuanTing Ji, Xin-Meng Wu and JunKun Zhao for enjoyable collaboration.
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Landsteiner, K., Liu, Y. & Sun, YW. Holographic topological semimetals. Sci. China Phys. Mech. Astron. 63, 250001 (2020). https://doi.org/10.1007/s11433-019-1477-7
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DOI: https://doi.org/10.1007/s11433-019-1477-7