
Periodic variations in a physical property, like resistance, due to quantization of electron orbits in a magnetic field.Quantum oscillations are periodic variations in a physical property, such as electrical resistance or magnetization, that occur when a material is placed in a strong magnetic field at low temperatures. These oscillations arise because the energy levels of electrons in a magnetic field become quantized into discrete Landau levels. As the magnetic field strength changes, these levels pass through the Fermi energy, causing the property to oscillate.
The effect was first predicted by Lev Landau in 1930, and the de Haas-van Alphen effect was observed experimentally by Wander de Haas and Pieter van Alphen in 1930. The Shubnikov-de Haas effect was discovered by Lev Shubnikov and Wander de Haas the same year.
In a magnetic field, electrons move in circular orbits, and their energy is quantized into Landau levels. When the field increases, the spacing between these levels grows, and they move upward in energy. As a level crosses the Fermi energy, electrons are redistributed, causing oscillations in the density of states at the Fermi level. This leads to periodic variations in resistance (Shubnikov-de Haas effect) or magnetization (de Haas-van Alphen effect). The period of oscillation is directly related to the cross-sectional area of the Fermi surface.
Quantum oscillations are a powerful tool for mapping the Fermi surface of metals and superconductors, providing crucial information about their electronic structure.
Quantum oscillations are so sensitive that they can be used to detect the presence of a single impurity atom in a crystal, as it would slightly alter the Fermi surface and thus the oscillation pattern.






