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Advanced Topics in Condensed Matter Theory - PhD course
Provider: Faculty of Science

Activity no.: 5885-21-11-31 
Enrollment deadline: 26/04/2021
PlaceNiels Bohr Institute
Date and time26.04.2021, at: 00:00 - 27.06.2021, at: 16:00
Regular seats40
ECTS credits7.50
Contact personJulie Meier    E-mail address: juliemh@nbi.ku.dk
Enrolment Handling/Course OrganiserMichele Burrello    E-mail address: michele.burrello@nbi.ku.dk
Semester/BlockBlock 4
Scheme groupA (Tues 8-12 + Thurs 8-17)
Exam formContinuous assessment
Exam detailsThe evaluation is based on the following assignments: • Problems sets (counting for up to 30 points) • Final report (counting for up to 30 points) To pass the exam the student must score at least 15 points in both the problem sets and report and at least 35 points in total. 80% attendance
Grading scalePassed / Not passed
Criteria for exam assessmentsee learning outcome
Exam re-examinationNew final report and oral exam. If a student fails to qualify for the exam due to lack of attendance, he/she may qualify for the re-exam by orally presenting his/her solutions to the final problem set to the instructor, working through the solutions on the board.
Course workload
Course workload categoryHours
Lectures50.00
Preparation113.00
Theory exercises10.00
Project work24.00
Guidance9.00

Sum206.00


Aim and content
In this course, we will cover selected topics in condensed matter theory at an advanced and in-depth level.

Specific topics will vary from year to year. Typical selections will include:

• Renormalization group for condensed matter systems

• 1D interacting models, Luttinger liquids and bosonization

• Overview of the Sine-Gordon model and the BKT phase transition

• Quantum phase transitions and the Ising model

• Majorana modes and topological superconductors

• Berry’s phase

• Topological insulators

• Topological order, anyons and topological quantum computation

• Quantum Hall physics

The course will be highly interactive, with a mixture of lectures, problem sessions and discussions led by all participants.

Formel requirements

Important information for students outside of Denmark:

This course is primarily for students at the University of Copenhagen and other universities in Denmark. If you wish to participate in this course, but you are outside of DK, please send an email to the course responsible or the contact person to find out if you may be allowed to participate. Do NOT use the online application, as it will be voided. Thank you.


Learning outcome
Skills
In this course, the students will learn to think like researchers. This includes getting into a new topic by reading original research papers, learning to identify new questions, and distilling key physical principles at play in complex phenomena. In particular, each student will investigate a specific topic, carrying out detailed calculations and writing a final report on his/her understanding and findings.

Knowledge
At the end of the course, the student will know the fundamentals of the year’s selected topics and their connections to other areas of modern physics. The knowledge will be at a level such that the participants will be prepared to follow and conduct research in the given area.

Competences
After this course the students will be experienced in a method for starting research in a new area. They will be able to extract the needed information from existing literature and to think about new directions for the research area in question.

Literature
To be announced on Absalon

Teaching and learning methods
The course will be highly interactive, with a mixture of lectures, problem sessions and discussions led by all participants.

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