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arXiv 2301.08601cond-mat.mtrl-sciphysics.comp-ph
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Xenes在激子绝缘体、拓扑绝缘体与平凡绝缘体相之间的转变:屏蔽、能带色散和外部电场的影响

Transitions in Xenes between excitonic, topological and trivial insulator phases: influence of screening, band dispersion and external electric field

Olivia Pulci, Paola Gori, Davide Grassano, Marco D'Alessandro, Friedhelm Bechstedt

AI总结:

本文用变分方法和从头算DFT参数研究Xenes中屏蔽、能带色散及垂直电场对激子结合能与能隙关系的影响,揭示激子绝缘体相是否出现主要取决于二维极化率的屏蔽处理方式,并证实stanene中不存在激子绝缘体相。

摘要:

利用变分方法,研究了变化电场下Xenes中最低束缚激子的结合能$E_b$。内部激子运动同时用Dirac电子色散和有效质量近似描述,而屏蔽的电子-空穴吸引则由具有二维电子极化率$α_{2{\ m D}}$的Rytova-Keldysh势建模。最重要的参数,如自旋-轨道诱导的能隙$E_g$、Fermi速度$v_F$和$α_{2{\ m D}}$,取自从头算密度泛函理论计算。此外,$α_{2{\ m D}}$以两种不同方式近似。$E_b$与$E_g$的关系由屏蔽决定。具有$E_b>E_g$的激子绝缘体相的存在敏感地依赖于所选择的$α_{2{\ m D}}$。$E_g$和$α_{2{\ m D}}$的值被垂直外部电偏压$U$强烈改变,这定义了在$U=E_g/2$处从拓扑绝缘体到平凡绝缘体的转变,plumbene除外。在Dirac近似下,以及在动能的有效质量描述中,屏蔽的处理主导了激子绝缘体相的出现或不出现。门控不改变结果:在零电场下所做的预测在施加垂直电场时得到确认。最后,基于Green函数方法的多体微扰理论方法应用于stanene,证实了激子绝缘体相的缺失,从而验证了我们通过从头算建模$α_{2{\ m D}}$获得的结果。

英文摘要:

Using a variational approach, the binding energies $E_b$ of the lowest bound excitons in Xenes under varying electric field are investigated. The internal exciton motion is described both by Dirac electron dispersion and in effective-mass approximation, while the screened electron-hole attraction is modeled by a Rytova-Keldysh potential with a 2D electronic polarizability $α_{2{\rm D}}$. The most important parameters as spin-orbit-induced gap $E_g$, Fermi velocity $v_F$ and $α_{2{\rm D}}$ are taken from ab initio density functional theory calculations. In addition, $α_{2{\rm D}}$ is approximated in two different ways. The relation of $E_b$ and $E_g$ is ruled by the screening. The existence of an excitonic insulator phase with $E_b>E_g$ sensitively depends on the chosen $α_{2{\rm D}}$. The values of $E_g$ and $α_{2{\rm D}}$ are strongly modified by a vertical external electric bias $U$, which defines a transition from the topological into a trivial insulator at $U=E_g/2$, with the exception of plumbene. Within the Dirac approximation, but also within the effective mass description of the kinetic energy, the treatment of screening dominates the appearance or non-appearance of an excitonic insulator phase. Gating does not change the results: the prediction done at zero electric field is confirmed when a vertical electric field is applied. Finally, Many-Body perturbation theory approaches based on the Green's function method, applied to stanene, confirm the absence of an excitonic insulator phase, thus validating our results obtained by ab initio modeling of $α_{2{\rm D}}$.

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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