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雙層AA堆疊鋸齒狀奈米石墨帶於均勻電場和磁場下的電子特性 = Elect...

國立高雄大學應用物理學系碩士班

雙層AA堆疊鋸齒狀奈米石墨帶於均勻電場和磁場下的電子特性 = Electronic properties of bilayer AA-stacked zigzag graphene nanoribbons in static electric and magnetic fields

Record Type:	Language materials, printed : monographic
Paralel Title:	Electronic properties of bilayer AA-stacked zigzag graphene nanoribbons in static electric and magnetic fields
Author:	王欲銘,
Secondary Intellectual Responsibility:	國立高雄大學
Place of Publication:	[高雄市]
Published:	撰者;
Year of Publication:	2013[民102]
Description:	57面圖，表格 : 30公分;
Subject:	雙層AA堆疊鋸齒狀奈米石墨帶於均勻電場和磁場下的電子特性
Subject:	Electronic properties of bilayer AA-stacked zigz
Online resource:	http://handle.ncl.edu.tw/11296/ndltd/65852525263647173966
Notes:	參考書目：面49-51
Notes:	102年10月31日公開
Summary:	鋸齒狀奈米石墨帶在低能量的電子性質顯示出相當豐富的一維能譜。對於石墨烯來說，邊緣形狀、有限寬度、層與層之間交互作用和磁場束縛等都是主要影響因素。單層鋸齒狀奈米石墨帶在沒有外場下，低能量的能帶在費米能(E_F=0)形成部分平坦能帶跟很多以E_F=0為對稱的拋物線能帶。部分平坦能帶的出現能展現鋸齒奈米石墨帶的電子強烈地分布在其鋸齒邊緣。在二維石墨烯系統，均勻垂直磁場束縛電子運動並引起色散藍道能階。在準一維奈米帶，鋸齒狀邊緣所施加的邊界條件限制藍道能階形成。因此，存在著磁性和量子限制之間的競爭。藍道能階轉化成準藍道能階，而且這些準藍道能階隨著能量│E^(c,v)│逐漸增加而消失。此外，色散能帶對稱於E_F=0並且部分平坦能帶受磁場影響而增強。這篇論文中，我們將以緊束模型(tight-binding model)研究雙層AA堆疊鋸齒狀奈米石墨帶系統在外加均勻垂直電場和磁場之下的電子特性。能帶對於場變化的特徵直接影響在態密度上，如數目、頻率、強度以及尖峰的發散形式。 The electronic properties of monolayer zigzag graphene nanoribbon in the low energy level show the rich one-dimensional energy band structure. Edge shapes, finite widths, interlayer interactions and magnetic confinement are dominant factors for graphene.The low-energy band structure of zigzag graphene nanoribbon in the absence of external fields consists of doubly degenerate partial flat bands lying on the Fermi energy (E_F=0) and many parabolic bands symmetric at about E_F=0. Partial flat bands show that the electrons are strongly localized at the zigzag edge. A uniform perpendicular magnetic field constrains electron motion, confining electronic states and inducing dispersionless Landau levels (LLs) in two-dimension graphene systems. In quasi one-dimenesion nanoribbons, boundary conditions imposed by ribbon edges confine the formation of LLs. Hence, there exists a competition between magnetic and quantum confinements. LLs are transformed into quasi-Landau levels (QLLs), and these QLLs gradually disappear as the state energy │E^(c,v)│ grows. Furthermore, energy dispersion is symmetric with respect to E_F=0, and partial flat bands are enhanced by a magnetic field.In this paper, we investigate that the π-electronic properties of bilayer AA stacked zigzag graphene nanoribbon in uniform perpendicular magnetic and electric fields by using the tight-binding model. The main features of the field-modified energy bands are directly reflected in the density of states (DOS), such as the numbers, frequencies, intensities, and divergence forms of prominent peaks.

雙層AA堆疊鋸齒狀奈米石墨帶於均勻電場和磁場下的電子特性 = Electronic properties of bilayer AA-stacked zigzag graphene nanoribbons in static electric and magnetic fields
王, 欲銘

雙層AA堆疊鋸齒狀奈米石墨帶於均勻電場和磁場下的電子特性 = Electronic properties of bilayer AA-stacked zigzag graphene nanoribbons in static electric and magnetic fields / 王欲銘撰 - [高雄市] : 撰者, 2013[民102]. - 57面 ; 圖，表格 ; 30公分.
參考書目：面49-51102年10月31日公開.
雙層AA堆疊鋸齒狀奈米石墨帶於均勻電場和磁場下的電子特性Electronic properties of bilayer AA-stacked zigz

雙層AA堆疊鋸齒狀奈米石墨帶於均勻電場和磁場下的電子特性 = Electronic properties of bilayer AA-stacked zigzag graphene nanoribbons in static electric and magnetic fields
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330 $a 鋸齒狀奈米石墨帶在低能量的電子性質顯示出相當豐富的一維能譜。對於石墨烯來說，邊緣形狀、有限寬度、層與層之間交互作用和磁場束縛等都是主要影響因素。單層鋸齒狀奈米石墨帶在沒有外場下，低能量的能帶在費米能(E_F=0)形成部分平坦能帶跟很多以E_F=0為對稱的拋物線能帶。部分平坦能帶的出現能展現鋸齒奈米石墨帶的電子強烈地分布在其鋸齒邊緣。在二維石墨烯系統，均勻垂直磁場束縛電子運動並引起色散藍道能階。在準一維奈米帶，鋸齒狀邊緣所施加的邊界條件限制藍道能階形成。因此，存在著磁性和量子限制之間的競爭。藍道能階轉化成準藍道能階，而且這些準藍道能階隨著能量│E^(c,v)│逐漸增加而消失。此外，色散能帶對稱於E_F=0並且部分平坦能帶受磁場影響而增強。這篇論文中，我們將以緊束模型(tight-binding model)研究雙層AA堆疊鋸齒狀奈米石墨帶系統在外加均勻垂直電場和磁場之下的電子特性。能帶對於場變化的特徵直接影響在態密度上，如數目、頻率、強度以及尖峰的發散形式。 The electronic properties of monolayer zigzag graphene nanoribbon in the low energy level show the rich one-dimensional energy band structure. Edge shapes, finite widths, interlayer interactions and magnetic confinement are dominant factors for graphene.The low-energy band structure of zigzag graphene nanoribbon in the absence of external fields consists of doubly degenerate partial flat bands lying on the Fermi energy (E_F=0) and many parabolic bands symmetric at about E_F=0. Partial flat bands show that the electrons are strongly localized at the zigzag edge. A uniform perpendicular magnetic field constrains electron motion, confining electronic states and inducing dispersionless Landau levels (LLs) in two-dimension graphene systems. In quasi one-dimenesion nanoribbons, boundary conditions imposed by ribbon edges confine the formation of LLs. Hence, there exists a competition between magnetic and quantum confinements. LLs are transformed into quasi-Landau levels (QLLs), and these QLLs gradually disappear as the state energy │E^(c,v)│ grows. Furthermore, energy dispersion is symmetric with respect to E_F=0, and partial flat bands are enhanced by a magnetic field.In this paper, we investigate that the π-electronic properties of bilayer AA stacked zigzag graphene nanoribbon in uniform perpendicular magnetic and electric fields by using the tight-binding model. The main features of the field-modified energy bands are directly reflected in the density of states (DOS), such as the numbers, frequencies, intensities, and divergence forms of prominent peaks.
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