Department of Applied Physics, Xi'an Jiaotong University, Xi'an 710049, People's Republic of China.
J Phys Condens Matter. 2010 Mar 24;22(11):115302. doi: 10.1088/0953-8984/22/11/115302. Epub 2010 Feb 23.
This paper explores the de Haas-van Alphen effect (dHvA) of graphene in the presence of an in-plane uniform electric field. Three major findings are yielded. First of all, the electric field is found to modulate the de Haas-van Alphen magnetization and magnetic susceptibility through the dimensionless parameter (β = E/(v(F)B). As the parameter β increases, the values of magnetization and magnetic susceptibility increase to positive infinity or decrease to negative infinity at the exotic point β(c) = 1. Furthermore, the dHvA oscillation amplitude rises abruptly to infinity for zero temperature at β(c) = 1, but eventually collapses at a finite temperature, thereby leading to the de Haas-van Alphen effect vanishing. In addition, the magnetic susceptibility depends on the electric and magnetic fields, suggesting that graphene should be a non-linear magnetic medium in the presence of an external field. These results, which are different from those obtained in the standard non-relativistic 2D electron gas, are attributed to the anomalous Landau level spectrum of graphene.
本文研究了平面内均匀电场中石墨烯的德哈斯-范阿尔芬效应（dHvA）。主要有三个发现。首先，通过无量纲参数（β=E/（v(F)B））发现电场会调制德哈斯-范阿尔芬磁化率和磁导率。随着参数β的增加，磁化率和磁导率的值在奇异点β(c)=1 处增加到正无穷大或减小到负无穷大。此外，在β(c)=1 处，低温时 dHvA 振荡幅度突然增加到无穷大，但最终在有限温度下崩溃，从而导致德哈斯-范阿尔芬效应消失。此外，磁导率取决于电场和磁场，表明在存在外场时石墨烯应该是一种非线性磁介质。这些结果与在标准非相对论 2D 电子气中得到的结果不同，这归因于石墨烯异常的朗道能级谱。
