Electronic and magnetotransport properties of twisted bilayer graphene in the presence of external electric and magnetic fields

凝聚态物理 双层石墨烯 石墨烯 双层 材料科学 磁场 电场 纳米技术 物理 化学 量子力学 生物化学
作者
Priyanka Sinha,Abhijit Mondal,Simão Meneses João,Bheema Lingam Chittari
出处
期刊:Physical review 卷期号:109 (15)
标识
DOI:10.1103/physrevb.109.155412
摘要

We investigate extensively the electronic and transport properties of twisted bilayer graphene when subjected to both an external perpendicular electric field and a magnetic field. Using a basic tight-binding model, we show the flat electronic band properties as well as the density of states (DOS), both without and with the applied electric field. In the presence of an electric field, the degeneracy at the Dirac points is lifted and a nonmonotonic behavior is found in the energy shift between the Dirac points of each layer, especially for twist angles below ${3}^{\ensuremath{\circ}}$. We also study the behavior of the Landau levels (LL) spectra for different twist angles within a very low energy range. These LL spectra get modified under the influence of the external electric field. Moreover, we calculate the dc Hall conductivity (${\ensuremath{\sigma}}_{xy}$) for a very large system using the kernel polynomial method. Interestingly, as we tune the twist angle from a higher to a lower value, ${\ensuremath{\sigma}}_{xy}$ undergoes a transition from a half-integer to an integer quantum Hall effect, i.e., the value of ${\ensuremath{\sigma}}_{xy}$ shifts from $\ifmmode\pm\else\textpm\fi{}4(n+1/2)\phantom{\rule{0.28em}{0ex}}(2{e}^{2}/h)$ ($n$ is an integer) to $\ifmmode\pm\else\textpm\fi{}2n\phantom{\rule{0.28em}{0ex}}(2{e}^{2}/h)$ around a small twist angle of $\ensuremath{\theta}=2.{005}^{\ensuremath{\circ}}$. At this angle, ${\ensuremath{\sigma}}_{xy}$ acquires a Hall plateau at zero Fermi energy. However, the behavior of ${\ensuremath{\sigma}}_{xy}$ remains unaltered when the system is exposed to the electric field, particularly at the magic angle where the bands in both layers can hybridize, and strong interlayer coupling plays a crucial role.
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