"One-dimensional" Coherent States and Oscillation Effects in Metals in a Magnetic Field

TL;DR

This paper introduces a simplified method using 'one-dimensional' coherent states to analyze oscillation effects like Shubnikov-de Haas and de Haas-van Alphen in various materials under magnetic fields, providing clearer insights into electron density oscillations.

Contribution

It presents a novel application of 'one-dimensional' coherent states to simplify the calculation of oscillation effects in magnetic fields.

Findings

Calculated the oscillatory part of the electron density of states.

Achieved substantial simplification of the calculations.

Applied the method to metals, semimetals, and semiconductors.

Abstract

The "one-dimensional" coherent states are applied to describe the Shubnikov - de Haas and the de Haas-van Alphen oscillation effects in metals, semimetals, and degenerate semiconductors. The oscillatory part of the electron density of states in a magnetic field is calculated. A substantial simplification of calculations is achieved.