课程名称中文凝态物理场论.doc

課程名稱： 開課單位 （英文）Field Theories in Condensed Matter Physics 課程代碼 L281500 授課教師： 學分數 3 必/選修 選修開課年級 先修科目或先備能力：Quantum Mechanics 課程概述與目標： This course is to present the field-theoretical picture of the most interesting problems in condensed matter physics. The materials covered in this course deals with the theories of the three most fundamental problems in contemporary Condensed Matter Physics: Quantum Anti-ferromagnetism, the Quantum Hall Effect and High Temperature Superconductivity. The course is self-contained, many powerful methods, which are necessary for the study of condensed matter systems are discussed and explained in some detail within the context of the applications. Condensed Matter Physics is a very rich and diverse field. It ranges from problems typical of material science to subjects which are as fundamental as particle physics and cosmology. The materials of the course is useful to many graduate students, to learn the subjects and the methods. 教科書 1. “Field Theories of Condensed Matter Physics”, Eduardo Fradkin, Addison-Wesley Publication Company (1991) 2. “Quantum Field Theory of Many-Body Theory”, X. G. Wen, Oxford Univ. Press (2004) 3. “Quantum Theory of Many-Body Systems”, A. L. Fetter and J. D. Walecka, Dover Publication Inc. (2003) 課程綱要 對應之學生核心能力 備註 單元主題 內容綱要 Chap. 1 Introduction to Field Theory Quantization of boson fields and fermion fields, symmetries and gauge theory, field theory and condensed matter physics. 一、二 Chap. 2 The Hubbard Model Includes symmetries of Hubbard model, the strong and weak coupling limit, and correlation functions. 一、二 Chap. 3 The Magnetic Instability of the Fermi System Mean-field theory, Path-integral approach of Hubbard model, Neel state and non-linear sigma model. 一、二 Chap. 4 Quantum Antiferromagnets Spin-one-half Heisenberg Chain, Fermions and Heisenberg model, Bosonization. 一、二 Chap. 5 Sigma Model, Topological Terms and Spin Liquids Haldane’s conjecture, Path-integrals for spin systems, topolo