Quantum magnetic oscillations in Weyl semimetals with tilted nodes

Abstract

A Weyl semimetal (WSM)\ is a three-dimensional topological phase of matter where pairs of nondegenerate bands cross at isolated points in the Brillouin zone called Weyl nodes. Near these points, the electronic dispersion is gapless and linear. A magnetic field $B$ changes this dispersion into a set of Landau levels which are dispersive along the direction of the magnetic field only. The $n=0$ Landau level is special since its dispersion is linear and unidirectional. The presence of this chiral level distinguishes Weyl from Schrödinger fermions. In this paper, we study the quantum oscillations of the orbital magnetization and magnetic susceptibility in Weyl semimetals. We generalise earlier works% \cite{Mikitik2019} on these De Haas-Van Alphen oscillations by considering the effect of a tilt of the Weyl nodes. We study how the fundamental period of the oscillations in the small $B$ limit and the strength of the magnetic field $B_1$ required to reach the quantum limit are modified by the magnitude and orientation of the tilt vector $\mathbf{t}$. We show that the magnetization from a single node is finite in the $B\to 0$ limit. Its sign depends on the product of the chirality and sign of the tilt component along the magnetic field direction. We also study the magnetic oscillations from a pair of Weyl nodes with opposite chirality and with opposite or identical tilt. Our calculation shows that these two cases lead to a very different behavior of the magnetization in the small and large $B$ limits. We finally consider the effect of an energy shift $\pm {\Delta }_0$ of a pair of Weyl nodes on the magnetic oscillations. We assume a constant density of carriers so that both nodes share a common Fermi level. Our calculation can easily be extended to a WSM with an arbitrary number of pairs of Weyl nodes.

arXiv comment15 pages with 11 figures

References in corpus (34)

• Electronic Structure of Pyrochlore Iridates: From Topological Dirac Metal to Mott Insulator
• Weyl and Dirac Semimetals in Three Dimensional Solids
• Weyl Semimetal in a Topological Insulator Multilayer
• Chern semi-metal and Quantized Anomalous Hall Effect in HgCr2Se4
• Chiral Anomaly and Classical Negative Magnetoresistance of Weyl Metals
• Topological response in Weyl semimetals and the chiral anomaly
• Quantum Hall effects in a Weyl Semi-Metal: possible application in pyrochlore Iridates
• Recent developments in transport phenomena in Weyl semimetals
• Weyl semimetal with broken time reversal and inversion symmetries
• Axionic field theory of (3+1)-dimensional Weyl semi-metals
• Chiral anomaly as origin of planar Hall effect in Weyl semimetals
• Predicted Unusual Magnetoresponse in Type-II Weyl Semimetals
• Axion response in Weyl semimetals
• Field-Selective Anomaly and Chiral Mode Reversal in Type-II Weyl Materials
• Magnetic-field-induced relativistic properties in type-I and type-II Weyl semimetals
• Friedel oscillations due to Fermi arcs in Weyl semimetals
• Magneto-optical conductivity of Weyl semimetals
• Topological Invariants of Metals and Related Physical Effects
• Theory of Kerr and Faraday rotations and linear dichroism in Topological Weyl Semimetals
• Chiral Quasiparticles at the Fermi Surface of the Weyl Semimetal TaAs
• Magnetic susceptibility in three-dimensional nodal semimetals
• Anomalous Hall Effect in type-I Weyl metals
• Magnetic torque anomaly in the quantum limit of the Weyl semi-metal NbAs
• Chiral Landau levels in Weyl semimetal NbAs with multiple topological carriers
• Theory of magnetic oscillations in Weyl semimetals
• Landau quantization in coupled Weyl points: a case study of semimetal NbP
• Optical evidence of the chiral magnetic anomaly in Weyl semimetal TaAs
• Imaginary part of Hall conductivity in tilted doped Weyl semimetal with both broken time reversal and inversion symmetry
• Anisotropic chiral magnetic effect from tilted Weyl cones
• Magnetic susceptibility of topological semimetals
• Magneto-optical Kerr effect and signature of the chiral anomaly in a Weyl semimetal in a magnetic field
• Complete optical valley polarization in Weyl semimetals in strong magnetic fields
• Chiral magnetic effect of hot electrons
• Uncovering Weyl Fermions in the Quantum Limit of NbP

Cited by in corpus (1)

• Nonlinear magnetoconductivity in Weyl and multi-Weyl semimetal in quantizing magnetic field