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Random walks and magnetic oscillations in compensated metals

机译：补偿金属中的随机游走和磁振荡

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摘要

The field- and temperature-dependent de Haas-van Alphen oscillations spectrum is studied for an ideal two-dimensional compensated metal whose Fermi surface is made of a linear chain of successive orbits with electron and hole character, coupled by magnetic breakdown. We show that the first harmonic amplitude can be accurately evaluated on the basis of the Lifshits-Kosevich semiclassical formula by considering a set of random walks on the orbit network, in agreement with the numerical resolution of Pippard equations associated with the surface. Oppositely, the second-harmonic amplitude does not follow the Lifshits-Kosevich behavior and vanishes at a critical value of the field-to-temperature ratio which depends explicitly on the relative value between the hole and electron effective masses.
机译：研究了理想的二维补偿金属的费米表面是由具有电子和空穴特性的连续轨道的线性链构成，并通过磁击穿来进行的，取决于磁场和温度的de Haas-van Alphen振荡谱。我们表明，通过考虑轨道网络上的一组随机游走，并与与表面相关的皮帕德方程的数值分辨率相一致，可以基于Lifshits-Kosevich半经典公式来精确评估一次谐波振幅。相反，二次谐波振幅不遵循Lifshits-Kosevich行为，而消失在场-温比的临界值上，该临界值明确取决于空穴与电子有效质量之间的相对值。

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