title: Anomalous Phase Shift of Quantum Oscillations in 3D Topological Semimetals.
abstract: Berry phase physics is closely related to a number of topological states of matter. Recently discovered topological semimetals are believed to host a nontrivial π Berry phase to induce a phase shift of ±1/8 in the quantum oscillation (+ for hole and - for electron carriers). We theoretically study the Shubnikov-de Haas oscillation of Weyl and Dirac semimetals, taking into account their topological nature and inter-Landau band scattering. For a Weyl semimetal with broken time-reversal symmetry, the phase shift is found to change nonmonotonically and go beyond known values of ±1/8 and ±5/8, as a function of the Fermi energy. For a Dirac semimetal or paramagnetic Weyl semimetal, time-reversal symmetry leads to a discrete phase shift of ±1/8 or ±5/8. Different from the previous works, we find that the topological band inversion can lead to beating patterns in the absence of Zeeman splitting. We also find the resistivity peaks should be assigned integers in the Landau index plot. Our findings may account for recent experiments in Cd_{2}As_{3} and should be helpful for exploring the Berry phase in various 3D systems.
authors: Department of Physics, South University of Science and Technology of China, Shenzhen 518055, China.|School of Physics and Electrical Engineering, Anyang Normal University, Anyang 455000, China.
authors: C M
authors: CM
authors: Wang
authors: Department of Physics, South University of Science and Technology of China, Shenzhen 518055, China.
authors: Hai-Zhou
authors: HZ
authors: Lu
authors: Department of Physics, The University of Hong Kong, Pokfulam Road, Hong Kong, China.
authors: Shun-Qing
authors: SQ
authors: Shen