title: Anomalous transport phenomena in Weyl metal beyond the Drude model for Landau's Fermi liquids.
abstract: Landau's Fermi-liquid theory is the standard model for metals, characterized by the existence of electron quasiparticles near a Fermi surface as long as Landau's interaction parameters lie below critical values for instabilities. Recently this fundamental paradigm has been challenged by the physics of strong spin-orbit coupling, although the concept of electron quasiparticles remains valid near the Fermi surface, where Landau's Fermi-liquid theory fails to describe the electromagnetic properties of this novel metallic state, referred to as Weyl metal. A novel ingredient is that such a Fermi surface encloses a Weyl point with definite chirality, referred to as a chiral Fermi surface, which can arise from breaking of either time reversal or inversion symmetry in systems with strong spin-orbit coupling, responsible for both the Berry curvature and the chiral anomaly. As a result, electromagnetic properties of the Weyl metallic state are described not by conventional Maxwell equations but by axion electrodynamics, where Maxwell equations are modified with a topological-in-origin spatially modulated [Formula: see text] term. This novel metallic state was realized recently in Bi[Formula: see text]Sbxaround [Formula: see text] under magnetic fields, where the Dirac spectrum appears around the critical point between the normal semiconducting ([Formula: see text]) and topological semiconducting phases ([Formula: see text]) and the time reversal symmetry breaking perturbation causes the Dirac point to split into a pair of Weyl points along the direction of the applied magnetic field for a very strong spin-orbit coupled system. In this review article, we discuss how the topological structure of both the Berry curvature and the chiral anomaly (axion electrodynamics) gives rise to anomalous transport phenomena in [Formula: see text]Sbxaround [Formula: see text] under magnetic fields, thus modifying the Drude model of Landau's Fermi liquids.
authors.affiliation: Department of Physics, POSTECH, Pohang, Gyeongbuk 790-784, Korea; Institute of Edge of Theoretical Science (IES), Hogil Kim Memorial building 5th floor, POSTECH, Pohang, Gyeongbuk 790-784, Korea.
authors.forename: Ki-Seok
authors.initials: KS
authors.lastname: Kim
authors.affiliation: Department of Physics, College of Natural Science, Daegu University, Gyeongbuk 712-714, Korea.
authors.forename: Heon-Jung
authors.initials: HJ
authors.lastname: Kim
authors.affiliation: Department of Physics, Faculty of Science, Yamagata University, Kojirakawa, Yamagata 990-8560, Japan.
authors.forename: M
authors.initials: M
authors.lastname: Sasaki
authors.affiliation: Wuhan National High Magnetic Field Center (WHMFC), Huazhong University of Science and Technology, Wuhan 430074, People's Republic of China.
authors.forename: J-F
authors.initials: JF
authors.lastname: Wang
authors.affiliation: Wuhan National High Magnetic Field Center (WHMFC), Huazhong University of Science and Technology, Wuhan 430074, People's Republic of China.
authors.forename: L
authors.initials: L
authors.lastname: Li
keywords: Berry curvature; Weyl metal; axion electrodynamics; chiral anomaly; topological Drude model; topological Fermi-liquid theory