课程大纲
COURSE SYLLABUS
1.
课程代码/名称
Course Code/Title
PHY5008/量子输运理论 Quantum Transport Theories
2.
课程性质
Compulsory/Elective
专业选修课 Elective Course
3.
课程学分/学时
Course Credit/Hours
3/48
4.
授课语言
Teaching Language
英文 English
5.
授课教师
Instructor(s)
卢海舟 Haizhou Lu
6.
是否面向本科生开放
Open to undergraduates
or not
是 YES
7.
先修要求
Pre-requisites
（如面向本科生开放，请注明区分内容。
If the course is open to
undergraduates, please indicate the difference.）
量子力学 II PHY305 和固体物理 PHY321-15
Quantum Mechanics II and Introduction to Solid State Physics
8.
教学目标
Course Objectives
（如面向本科生开放，请注明区分内容。
If the course is open to undergraduates, please indicate the
difference.）
修完本课程，需要掌握研究量子输运的基本概念和主要理论方法，包括久保公式，费曼图技术，
Landauer-Buttiker 公式，传输矩阵及散射矩阵方法，非平衡格林函数等；并熟悉主要的量子输运现
象，如量子霍尔效应，电子局域化效应，全局电导涨落，量子线性磁阻等。
Aft
er leaning this course, students will get acquired to the basic concepts and theoretical approaches in
quantum transport, including Kubo formula, Feynman diagram techniques, Landauer-
Buttiker formula,
transfer matrix and scattering matrix methods, non-equi
librium Green’s functions, etc; and major quantum
transport phenomena, such as the quantum Hall effects, localization effects, universal conductance
fluctuations, quantum linear magnetoresistance, etc.
9.
教学方法
Teaching Methods
（如面向本科生开放，请注明区分内容。
If the course is open to undergraduates, please indicate the
difference.）
从个人研究经验出发，结合教材和领域最新研究热点，激发学生学习兴趣。幻灯片放映与黑板板书相
结合。
Based on personal research experiences and latest progresses in quantum transport on state-of-
art experiments
and theories.
10.
教学内容
Course Contents
（如面向本科生开放，请注明区分内容。 If the course is open to undergraduates, please indicate the
difference.）
Section 1
基础概念
8
课时
二维电子气，有效质量，态密度，特征长度，磁阻，横模
Preliminary concepts
Two-dimensional electron gas;
Effective mass, Density of states;
Characteristic lengths; Magnetoresistance; Transverse modes
Section 2
电导和投射系数
8
课时
Landauer 公式，非零温和偏压，不相容原理
Conductance from transmission
Landauer formula; Non-zero temperature and bias; Exclusion principle
Section 3
透射函数，散射矩阵和格林函数
16
课时
散射矩阵，格林函数，紧束缚模型
Transmission function, S-matrix and Green’s functions
S-matrix; Green’s function; Tight-binding model
Section 4
量子霍尔效应
4
课时
零电阻的来源，背散射效应
Quantum Hall effect
Origin of zero resistance; Effect of backscattering
Section 5
局域化与电导涨落
12
课时
局域化长度，弱局域化，电导涨落
Localization and fluctuations
Localization length; Weak localization; Conductance fluctuations
11.
课程考核
Course Assessment
（
○
1 考核形式 Form of examination；
○
2 分数构成 grading policy；
○
3 如面向本科生开放，请注明区分内容。
If
the course is open to undergraduates, please indicate the difference.）
课堂小测验（60%）+口头报告（40%）
Quiz(60%)+Oral presentation(40%)
12.
教材及其它参考资料
Textbook and Supplementary Readings
Textbook
Supriyo Datta, Electronic transport in mesoscopic systems (Cambridge University Press)
References
[1] Gerald D. Mahan, Many-Particle Physics (Springer)
[2] Henrik Bruus and Karsten Flensberg, Many-
Body Quantum Theory in Condensed Matter Physics: An
Introduction (Oxford University Press)
[3] A. A. Abriko
sov, L. P. Gorkov, and I. E. Dzyaloshinski, Methods of Quantum Field Theory in Statistical
Physics (Dover Pulications)
