arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 2309.03444cond-mat.mes-hallcond-mat.str-el
收藏

基于非微扰含磁场相对论紧束缚近似方法的石墨烯量子化霍尔电导

Quantized Hall conductance in graphene by nonperturbative magnetic-field-containing relativistic tight-binding approximation method

Md. Abdur Rashid, Masahiko Higuchi, Katsuhiko Higuch

AI总结:

本文利用非微扰含磁场相对论紧束缚近似方法计算石墨烯磁能带结构,揭示霍尔电导的宽、窄两类量子化平台及其填充因子规律,并阐明磁能带简并性是霍尔电导量子化的来源。

摘要:

本研究基于非微扰含磁场相对论紧束缚近似(MFRTB)方法计算得到的磁能带结构,对石墨烯的霍尔电导($σ_{Hall}$)进行了数值研究。非微扰MFRTB方法能够重新审视$σ_{Hall}$随费米能量变化的两类平台。一类表现为宽平台(WPs),其填充因子(FFs)为2、6、10、14等,即已知的半整数量子霍尔效应。宽平台的宽度随填充因子增大而减小,且其减小程度超过了石墨烯线性色散关系所预期的减小。另一类表现为窄平台(NPs),其填充因子为0、4、8、12等。窄平台对应于自旋塞曼效应和自旋轨道相互作用引起的能隙。此外,研究发现,利用非微扰MFRTB方法计算得到的磁能带简并性导致了$σ_{Hall}$的量子化。

英文摘要:

In this study, we conducted a numerical investigation on the Hall conductance ($σ_{Hall}$) of graphene based on the magnetic energy band structure calculated using a nonperturbative magnetic-field-containing relativistic tight-binding approximation (MFRTB) method. The nonperturbative MFRTB can revisit two types of plateaus for the dependence of $σ_{Hall}$ on Fermi energy. One set is characterized as wide plateaus (WPs). These WPs have filling factors (FFs) of 2, 6, 10, 14, etc. and are known as the half-integer quantum Hall effect. The width of WPs decreases with increasing FF, which exceeds the decrease expected from the linear dispersion relation of graphene. The other set is characterized by narrow plateaus (NPs), which have FFs of 0, 4, 8, 12, etc. The NPs correspond to the energy gaps caused by the spin-Zeeman effect and spin-orbit interaction. Furthermore, it was discovered that the degeneracy of the magnetic energy bands calculated using the nonperturbative MFRTB method leads to a quantized $σ_{Hall}$.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

↑