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QHELectureNotesLH2009_arxiv.out
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QHELectureNotesLH2009_arxiv.out
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\BOOKMARK [0][-]{chapter.1}{简介}{}% 1
\BOOKMARK [1][-]{section.1.1}{\(量子\)Hall效应的历史}{chapter.1}% 2
\BOOKMARK [2][-]{subsection.1.1.1}{研究的系统}{section.1.1}% 3
\BOOKMARK [2][-]{subsection.1.1.2}{经典Hall效应}{section.1.1}% 4
\BOOKMARK [2][-]{subsection.1.1.3}{Shubnikov-de Haas效应}{section.1.1}% 5
\BOOKMARK [2][-]{subsection.1.1.4}{整数量子Hall效应}{section.1.1}% 6
\BOOKMARK [2][-]{subsection.1.1.5}{分数量子Hall效应}{section.1.1}% 7
\BOOKMARK [2][-]{subsection.1.1.6}{石墨烯中的相对论性量子Hall效应}{section.1.1}% 8
\BOOKMARK [1][-]{section.1.2}{二维电子系统}{chapter.1}% 9
\BOOKMARK [2][-]{subsection.1.2.1}{场效应管}{section.1.2}% 10
\BOOKMARK [2][-]{subsection.1.2.2}{半导体异质结}{section.1.2}% 11
\BOOKMARK [2][-]{subsection.1.2.3}{石墨烯}{section.1.2}% 12
\BOOKMARK [0][-]{chapter.2}{Landau 量子化}{}% 13
\BOOKMARK [1][-]{section.2.1}{B=0下的单粒子Hamiltonian原型}{chapter.2}% 14
\BOOKMARK [2][-]{subsection.2.1.1}{自由粒子的Hamiltonian}{section.2.1}% 15
\BOOKMARK [2][-]{subsection.2.1.2}{石墨烯中的Dirac Hamiltonian}{section.2.1}% 16
\BOOKMARK [1][-]{section.2.2}{非零磁场的Hamiltonian}{chapter.2}% 17
\BOOKMARK [2][-]{subsection.2.2.1}{Peierls替换与最小耦合}{section.2.2}% 18
\BOOKMARK [2][-]{subsection.2.2.2}{量子力学处理}{section.2.2}% 19
\BOOKMARK [1][-]{section.2.3}{Landau能级}{chapter.2}% 20
\BOOKMARK [2][-]{subsection.2.3.1}{非相对论性Landau能级}{section.2.3}% 21
\BOOKMARK [2][-]{subsection.2.3.2}{相对论性Landau能级}{section.2.3}% 22
\BOOKMARK [2][-]{subsection.2.3.3}{能级简并}{section.2.3}% 23
\BOOKMARK [2][-]{subsection.2.3.4}{能级简并的半经典解释}{section.2.3}% 24
\BOOKMARK [1][-]{section.2.4}{本征态}{chapter.2}% 25
\BOOKMARK [2][-]{subsection.2.4.1}{对称规范下的波函数}{section.2.4}% 26
\BOOKMARK [2][-]{subsection.2.4.2}{Landau规范下的波函数}{section.2.4}% 27
\BOOKMARK [0][-]{chapter.3}{整数量子Hall效应}{}% 28
\BOOKMARK [1][-]{section.3.1}{外静电势下电子的运动}{chapter.3}% 29
\BOOKMARK [2][-]{subsection.3.1.1}{半经典处理}{section.3.1}% 30
\BOOKMARK [2][-]{subsection.3.1.2}{x-平移对称性的静电势}{section.3.1}% 31
\BOOKMARK [1][-]{section.3.2}{单一Landau能级的电导}{chapter.3}% 32
\BOOKMARK [2][-]{subsection.3.2.1}{边界态}{section.3.2}% 33
\BOOKMARK [1][-]{section.3.3}{两端vs六端法测量}{chapter.3}% 34
\BOOKMARK [2][-]{subsection.3.3.1}{两端法测量}{section.3.3}% 35
\BOOKMARK [2][-]{subsection.3.3.2}{六端法测量}{section.3.3}% 36
\BOOKMARK [1][-]{section.3.4}{整数量子Hall效应和过滤沥滤法}{chapter.3}% 37
\BOOKMARK [2][-]{subsection.3.4.1}{光学测量中的延展/局域体态}{section.3.4}% 38
\BOOKMARK [2][-]{subsection.3.4.2}{平台期的转移与标度变换律}{section.3.4}% 39
\BOOKMARK [1][-]{section.3.5}{石墨烯中的相对论性Hall效应}{chapter.3}% 40
\BOOKMARK [0][-]{chapter.4}{强关联与分数量子Hall效应}{}% 41
\BOOKMARK [1][-]{section.4.1}{库伦相互作用的效应}{chapter.4}% 42
\BOOKMARK [1][-]{section.4.2}{Laughlin理论}{chapter.4}% 43
\BOOKMARK [2][-]{subsection.4.2.1}{二粒子波函数与Laughlin规范}{section.4.2}% 44
\BOOKMARK [2][-]{subsection.4.2.2}{Haldane赝势}{section.4.2}% 45
\BOOKMARK [2][-]{subsection.4.2.3}{分数电荷的准粒子与准空穴}{section.4.2}% 46
\BOOKMARK [2][-]{subsection.4.2.4}{分数电荷准粒子的实验观察}{section.4.2}% 47
\BOOKMARK [2][-]{subsection.4.2.5}{Laughlin的等离子体类比}{section.4.2}% 48
\BOOKMARK [1][-]{section.4.3}{分数统计}{chapter.4}% 49
\BOOKMARK [2][-]{subsection.4.3.1}{波色子，费米子，任意子——简介}{section.4.3}% 50
\BOOKMARK [2][-]{subsection.4.3.2}{Laughlin准粒子的统计性质}{section.4.3}% 51
\BOOKMARK [1][-]{section.4.4}{Laughlin波函数的推广}{chapter.4}% 52
\BOOKMARK [2][-]{subsection.4.4.1}{复合费米子}{section.4.4}% 53
\BOOKMARK [2][-]{subsection.4.4.2}{半满Landau能级和Pfaffian态}{section.4.4}% 54
\BOOKMARK [0][-]{chapter.5}{多组分的量子Hall系统简介}{}% 55
\BOOKMARK [1][-]{section.5.1}{多组分系统的不同之处}{chapter.5}% 56
\BOOKMARK [2][-]{subsection.5.1.1}{电子自旋的效应}{section.5.1}% 57
\BOOKMARK [2][-]{subsection.5.1.2}{石墨烯：四组分量子Hall系统}{section.5.1}% 58
\BOOKMARK [2][-]{subsection.5.1.3}{双层量子Hall系统}{section.5.1}% 59
\BOOKMARK [2][-]{subsection.5.1.4}{宽量子阱}{section.5.1}% 60
\BOOKMARK [1][-]{section.5.2}{=1态}{chapter.5}% 61
\BOOKMARK [2][-]{subsection.5.2.1}{量子Hall反铁磁性}{section.5.2}% 62
\BOOKMARK [2][-]{subsection.5.2.2}{双层系统的激发态凝聚}{section.5.2}% 63
\BOOKMARK [2][-]{subsection.5.2.3}{石墨烯的SU\(4\)反铁磁性}{section.5.2}% 64
\BOOKMARK [1][-]{section.5.3}{多组分波函数}{chapter.5}% 65
\BOOKMARK [2][-]{subsection.5.3.1}{Halperin波函数}{section.5.3}% 66
\BOOKMARK [2][-]{subsection.5.3.2}{Halperin波函数的推广}{section.5.3}% 67
\BOOKMARK [0][-]{appendix.A}{石墨烯的电子能带结构}{}% 68
\BOOKMARK [0][-]{appendix.B}{有质量的Dirac粒子的Landau能级}{}% 69