本文選題：石墨烯 + 帶寬��； 參考：《太原理工大學(xué)》2017年碩士論文

【摘要】：石墨烯(Graphene)是材料科學(xué)和凝聚態(tài)物理領(lǐng)域迅速崛起的明星。作為低維電子系統(tǒng)的石墨烯材料一經(jīng)被制備出來就展示了反常的電學(xué)性質(zhì),例如:反常的量子霍爾效應(yīng);石墨烯在一維周期性電學(xué)或磁學(xué)調(diào)制勢下,其擴(kuò)散電導(dǎo)率會出現(xiàn)Weiss振蕩。這些新奇的物理效應(yīng)都與石墨烯上載流子所具有的相對論特性有關(guān)。在理論上,石墨烯在面外加垂直磁場和一維周期性電學(xué)或磁學(xué)調(diào)制勢下,其擴(kuò)散電導(dǎo)率會出現(xiàn)Weiss振蕩已經(jīng)有所研究。我們進(jìn)一步分別探索了面外加垂直磁場和面內(nèi)加橫向電場以及一維周期性弱調(diào)制磁學(xué)勢的多場耦合作用和面外加垂直磁場和面內(nèi)加橫向電場以及一維周期性弱調(diào)制電學(xué)勢的多場耦合作用下,石墨烯的量子磁輸運(yùn)性質(zhì)及其相關(guān)的一些物理效應(yīng)。本文主要結(jié)論如下:1.面外加垂直磁場、面內(nèi)加橫向電場以及一維周期性弱調(diào)制電學(xué)勢下石墨烯中的的帶寬和態(tài)密度出現(xiàn)了異常振蕩。2.面外加垂直磁場、面內(nèi)加橫向電場以及一維周期性弱調(diào)制磁學(xué)勢的多場耦合作用和面外加垂直磁場、面內(nèi)加橫向電場以及一維周期性電學(xué)勢的多場耦合作用下,磁致電導(dǎo)率在靜電場存在下,會呈現(xiàn)Weiss振蕩,且Weiss振蕩的振幅和電導(dǎo)率數(shù)值都隨著靜電場的增加而增加。有趣的是,當(dāng)電場與磁場的比值達(dá)到某一臨界值,即β_1=E/(v_FB)=1時,Weiss振蕩會突然消失。
[Abstract]:Graphene is a rapidly rising star in material science and condensed matter physics. Graphene materials, which are prepared as low-dimensional electronic systems, exhibit anomalous electrical properties, such as the anomalous quantum Hall effect, graphene under one-dimensional periodic electrical or magnetic modulation potential, The diffusion conductivity will appear Weiss oscillation. These novel physical effects are related to the relativistic properties of carriers on graphene. Theoretically, Weiss oscillations of diffusion conductivity of graphene have been studied in the presence of vertical magnetic field and one-dimensional periodic electrical or magnetic modulation potential. We further explore the multi-field coupling of the surface applied vertical magnetic field and the in-plane transverse electric field and the one-dimensional periodic weakly modulated magnetic potential, the plane applied vertical magnetic field and the in-plane transverse electric field, and the one-dimensional periodic weak modulation respectively. In the multi-field coupling of electrical potential, Quantum magnetic transport properties of graphene and some related physical effects. The main conclusions of this paper are as follows: 1. The bandwidth and density of states in graphene show abnormal oscillations under the applied vertical magnetic field in the plane, the transverse electric field in the plane and the one-dimensional periodic weakly modulated electric potential. Under the coupling of the vertical magnetic field in the plane, the transverse electric field in the plane and the one-dimensional periodic weakly modulated magnetic potential in the plane, and the vertical magnetic field in the plane, the transverse electric field in the plane and the one-dimensional periodic electric potential in the plane are coupled in many fields. In the presence of electrostatic field, the magnetic conductivity exhibits Weiss oscillation, and the amplitude and conductivity of the Weiss oscillation increase with the increase of electrostatic field. Interestingly, the Weiss oscillation will suddenly disappear when the ratio of electric field to magnetic field reaches a certain critical value, that is, 尾 _ 1 / (v _ S _ FB) = 1.
【學(xué)位授予單位】：太原理工大學(xué)
【學(xué)位級別】：碩士
【學(xué)位授予年份】：2017
【分類號】：O469

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本文編號：2062143