Instructor:
Prof.
David Vanderbilt Office: Serin E291 Email: dhv@physics.rutgers.edu Phone: 8484459049 Office Hours: By arrangement 
In the last two decades, it has become increasingly clear that the concepts of Berry phases and Berry curvatures play an important role in many aspects of modern solidstate physics. In this course I will provide a tutorial background on the mathematical concepts, and then show how they apply to a variety of problems in theoretical condensedmatter physics.
The topics to be covered tentatively include:
Lectures: Lectures will be on Mondays and Wednesdays 1:403:00pm in SEC206. However, because of my travel schedule, some lectures will be rescheduled for Fridays at 2:003:20pm. A tentative schedule is posted here.
Textbook:
The primary text will be my recently published book,
Berry Phases in Electronic Structure Theory:
Electric Polarization, Orbital Magnetization and Topological Insulators

Syllabus: The syllabus focuses mainly on theoretical topics, working in the framework of singleparticle Hamiltonians for crystalline systems.
Prerequisites: Graduate Quantum Mechanics (Physics 501502 or equivalent) and the first semester of Graduate Solid State Physics (Physics 601 or equivalent).
Homeworks and other assignments: Homework problems will be a mix of some problems requiring an analytic handwritten solution, while others will involve the use of the PythTB ("Python Tight Binding") code for the purpose of exploring the properties of simple tightbinding models that illustrate the issues discussed in class. In addition, I intend for there to be a final project that will involve writing a paper, or writing (or expanding) a Wikipedia article, on a topic related to the course.
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