Abstract
The de Haas-van Alphen (dHvA) oscillations of the magnetostrictions and the elastic constants are investigated theoretically. The electron band with orthorhombic symmetry is treated in the effective mass approximation. For ω s τ≪1 with the sound-wave angular frequency ω s and the electron life time τ, Landau orbitals are formed in a deformed metal without affecting local ion motions. In this static approximation to the ion motion, the free energy of the electron-lattice system is calculated as a function of strains. This free energy reveals the acoustic dHvA oscillations and proves that their amplitudes strongly depend on both the direction of an applied magnetic field and the strain mode. It is emphasized that the present acoustic dHvA effect can be a good probe into the electronic properties of metals such as the Fermi surface and the electron-lattice coupling.
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