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arXiv 1802.03585cond-mat.mes-hallcond-mat.other
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磁场中单层石墨烯和VI族二硫族化合物的Friedel振荡理论

Theory of Friedel oscillations in monolayer graphene and group-VI dichalcogenides in a magnetic field

Tomasz M. Rusin, Wlodek Zawadzki

摘要:

计算了磁场中二维系统中类δ中性杂质引起的电子密度弗里德尔振荡(FO)。考虑了三种二维情况:自由电子气体、单层石墨烯和VI族二硫属化物。在计算中使用的重整化格林函数的精确形式,通过无限戴森级数和正则化过程的总和。最终结果适用于大范围的电势强度$V_0$、电子密度$n_e$、磁场$B$和与杂质$r$的距离。使用杂质的真实模型。WS $_2$中诱导密度的第一个FO由关系式$Δn(\vec{r}) \propto \sin(2πr/T_{FO})/r^2$描述,其中$T_{FO} \propto 1/\sqrt{E_F}$。对于弱杂质势,FO的振幅与$V_0$成正比。对于吸引势和高场,所有$r$的总电子密度保持为正。另一方面,对于低场、排斥势和小的$r$,总电子密度可能变为负值,因此应考虑多体效应。

英文摘要:

Friedel oscillations (FO) of electron density caused by a delta-like neutral impurity in two-dimensional (2D) systems in a magnetic field are calculated. Three 2D cases are considered: free electron gas, monolayer graphene and group-VI dichalcogenides. An exact form of the renormalized Green's function is used in the calculations, as obtained by a summation of the infinite Dyson series and regularization procedure. Final results are valid for large ranges of potential strengths $V_0$, electron densities $n_e$, magnetic fields $B$ and distances from the impurity $r$. Realistic models for the impurities are used. The first FO of induced density in WS$_2$ are described by the relation $Δn(\vec{r}) \propto \sin(2πr/T_{FO})/r^2$, where $T_{FO} \propto 1/\sqrt{E_F}$. For weak impurity potentials, the amplitudes of FO are proportional to $V_0$. For attractive potentials and high fields the total electron density remains positive for all $r$. On the other hand, for low fields, repulsive potentials and small $r$, the total electron density may become negative, so that many-body effects should be taken into account.

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。

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