The Influence of the Chemical Potential Oscillations on the De HaasVan Alphen Effect in QuasiTwoDimensional Compounds
Abstract
The de Haas  van Alphen effect in quasitwodimensional metals is studied at arbitrary parameters. The oscillations of the chemical potential may substantially change the temperature dependence of harmonic amplitudes that is usually used to determine the effective electron mass. Hence, the processing of the experimental data using the standard LifshitzKosevich formula (that assumes the chemical potential to be constant) may lead to substantial errors even in the limit of strong harmonic damping. This fact may explain the difference between the effective electron masses, determined from the de Haas  van Alphen effect and the cyclotron resonance measurements. The oscillations of the chemical potential and the deviations from the LifshitzKosevich formula depend on the reservoir density of states, that exists in organic metals due to open sheets of Fermi surface. This dependence can be used to determine the density of electron states on open sheets of Fermi surface. We present the analytical results of the calculations of harmonic amplitudes in some limiting cases that show the importance of the oscillations of the chemical potential. The algorithm of the simple numerical calculation of the harmonic amplitudes at arbitrary reservoir density of states, arbitrary warping, spinsplitting, temperature and Dingle temperature is also described.
 Publication:

Soviet Journal of Experimental and Theoretical Physics
 Pub Date:
 June 2001
 DOI:
 10.1134/1.1385651
 arXiv:
 arXiv:condmat/0102177
 Bibcode:
 2001JETP...92.1090G
 Keywords:

 Condensed Matter  Statistical Mechanics;
 Condensed Matter  Mesoscale and Nanoscale Physics
 EPrint:
 8 pages, 1 figure