Tryst between Topology and Transport in Semimetals

This book provides a comprehensive overview of recent advances in the study of semimetals that host symmetry-protected nodal points and nodal lines in their Brillouin zones. It introduces analytical techniques for calculating transport properties—such as electrical conductivity—when these materials are exposed to external perturbations including electromagnetic fields and temperature gradients. The focus is on regimes where the formation of Landau levels due to an applied magnetic field can be neglected, allowing the use of the semiclassical Boltzmann formalism. The central theme is how the topological properties of electronic band structures give rise to distinctive, topology-driven transport responses. These materials offer a rich setting in which abstract mathematical concepts from topology manifest as measurable physical phenomena. A basic knowledge of quantum mechanics and linear-response theory is assumed. This volume is well suited for advanced students, as well as researchers—both theorists and experimentalists—in condensed matter physics, particularly those interested in understanding transport phenomena in semimetallic phases.