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arXiv 2107.08443cond-mat.str-elquant-ph
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节线半金属量子振荡中的费米能级涨落、约化有效质量和塞曼效应

Fermi Level Fluctuations, Reduced Effective Masses and Zeeman Effect during Quantum Oscillations in Nodal Line Semimetals

Satyaki Kar, Anupam Saha

摘要:

通过考虑强磁场作用下的节线半金属(NLSM)连续介质模型,研究了NLSM中的量子振荡,并报道了当垂直于节面方向的磁场通过时,朗道能级谱和费米能级涨落的特性.基于平行磁化的结果,我们证明了量子振荡随场强的增长以及它在周期上的恒定性。我们发现,态密度连续出现一系列峰,这些峰由于塞曼效应而出现分叉。对于垂直于节面的场,只有当电子有效质量远小于其自由质量时,这种分叉才是可辨别的,这通常发生在这些系统中。虽然减少有效质量$m^*$的原因塞曼分裂变得小朗道能级间距相比,实验结果表明,在朗德$g$因素,再次放大塞曼贡献的数倍增加。我们还考虑了节面中的磁场,其态密度峰不再随能量周期性地重复。光谱变得更加分散,塞曼分裂变得不那么突出。我们发现,低能量的拓扑制度,这似乎与这样的平面内字段设置,进一步缩小减少$m^*$值。然而,如果在垂直于节面的方向上电子的费米速度较小,则这种拓扑状态可以被拉伸。

英文摘要:

We probe quantum oscillations in nodal line semimetals (NLSM) by considering a NLSM continuum model under strong magnetic field and report the characteristics of the Landau level spectra and the fluctuations in the Fermi level as the field in a direction perpendicular to the nodal plane is varied through. Based on the results on parallel magnetization, we demonstrate the growth of quantum oscillation with field strength as well as its constancy in period when plotted against 1/B. We find that the density of states which show series of peaks in succession, witness bifurcation of those peaks due to Zeeman effect. For field normal to nodal plane, such bifurcations are discernible only if the electron effective mass is considerably smaller than its free value, which usually happens in these systems. Though a reduced effective mass $m^*$ causes the Zeeman splitting to become small compared to Landau level spacing, experimental results indicate a manyfold increase in the Lande $g$ factor which again amplifies the Zeeman contribution. We also consider magnetic field in the nodal plane for which the density of state peaks do not repeat periodically with energy anymore. The spectra become more spread out and the Zeeman splittings become less prominent. We find the low energy topological regime, that appears with such in-plane field set up, to shrink further with reduced $m^*$ values. However, such topological regime can be stretched out in case there are smaller Fermi velocities for electrons in the direction normal to the nodal plane.

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