A treatment of the Fermi-liquid theory of high-frequency phenomena in metals, in paricular the effects due to local features in the geometry of the Fermi surface. The text develops a consistent theory of several effects, such as cyclotron resonances in magnetic fields normal to the surface. Topics covered include: basic equations of the Fermi-liquid theory; cyclotron Doppler on waves; local anomalies in the Fermi surface; cyclotron resonancce in metals; magneto-acoustic oscillations and the local geometry of the Fermi surface.

Topological physics, Fermi surface, anomalous Hall effect, spin Hall effect, material science.

The Geometry of Algebraic Fermi Curves deals with the geometry of algebraic Fermi curves, with emphasis on the inverse spectral problem. Topics covered include the periodic Schrödinger operator and electrons in a crystal; one-dimensional algebraic Bloch varieties; separable Bloch varieties; and monodromy for separable and generic Bloch varieties. Compactification, the potential zero, and density of states are also discussed. This book consists of 13 chapters and begins by recalling the static lattice approximation for electronic motion at low temperature in a pure, finite sample of a d-dimensional crystal. The position of the Fermi energy and the geometry of the Fermi hypersurface in relation to the metallic properties of the crystal are described. The following chapters focus on the Bloch variety associated with a discrete two-dimensional periodic Schrödinger operator; algebraic Bloch varieties in one dimension; compactification of the Bloch variety; and the potential zero. The geometry of the Bloch variety of a separable potential is also considered, along with the topology of the family of Fermi curves. The final chapter demonstrates how the Bloch variety is determined by the density of states. This monograph will be a useful resource for students and teachers of mathematics.

Modern Problems in Condensed Matter Sciences, Volume 27.2: Landau Level Spectroscopy focuses on the processes, reactions, methodologies, and approaches involved in condensed matter sciences, including magnetospectroscopy, resonances, electrodynamics, and magnetic fields. The selection first offers information on the magnetospectroscopy of confined semiconductor systems and the magnetophonon effect in two dimensions. Discussions focus on hot-electron magnetophonon resonance, normal resonances, free carrier states, confined impurities, and electron-phonon interaction. The text then takes a look at the energy spectrum and magnetooptics of band-inverting heterojunctions and the electrodynamics of two-dimensional electron systems in high magnetic fields. The publication examines Landau emission and the Shubnikov-de Haas (SdH) effect. Topics include smooth magnetoresistance and SdH effect, Landau level electronic lifetimes, experimental techniques, and Landau emission in III-IV semiconductors. The book then elaborates on a comprehensive review of the experimental aspects of the SdH effect; magnetoimpurity resonances in semiconductor transport; and magnetophonon resonance. The selection is a highly recommended reference for scientists and readers interested in the Landau level spectroscopy.

This thesis presents pioneering work in the relatively new field of focused ion beam (FIB) sculpting of single crystals to produce bespoke devices and enable the investigation of physics that cannot be studied in bulk samples. It begins with a comprehensive and didactic account of how to achieve this sculpting, revealing the ‘tricks of the trade’ of state-of-the-art FIB microstructuring. In subsequent chapters, the author presents ground-breaking results obtained from microstructures of the delafossite oxide metal PdCoO2 and the heavy fermion superconductor CeIrIn5. In these elegant, forefront experiments, a new form of directional ballistic transport in the ultra-pure delafossites is described and explained. Furthermore, a new way to spatially modulate superconductivity induced by strain is demonstrated with electrical transport measurements that agree well with predictions based on thermoelastic finite element simulations.

Progress in Low Temperature Physics