Course on Modern Condensed Matter

Welcome to the Nordita course page for Modern Condensed Matter.

The course is intended for advanced graduate students. Prerequisites are QM1, QM2.

The essential topics will include: Experimental techniques: neutron scattering, ARPES, optics. We also will discuss collective behavior, transport theory, band structure, quantum phase transitions, magnetism,  superconductivity and superfluidity,  correlated materials and machine learning and data informatics applied to electronic materials, topological states.

  • COVID-19 Notice

    Important update: because of COVID-19 and shift to online classes, future lectures will be posted. Classes continue as scheduled online via Zoom. Instructors are available for a discussion online. The best times are Monday 15:00-16:00 or email and we will settle the time. Final exam will be in the form of online presentation of research topic with the written report (7-10 pages), see more below.

  • Registration closed

    This course is already running and no more registrations are being accepted.

General Information

We will discuss collective behavior, transport theory, band structure, quantum phase transitions, magnetism, superconductivity and superfluidity, correlated materials and machine learning and data informatics applied to electronic materials, topological states. The essential topics will include experimental techniques: neutron scattering, ARPES, optics.

The course poster can be found here: CMT_Nordita_course1

  • Start Date: 21st Sept 2020, 16:00-17:15
  • Finals (18th Nov 2020): essay & presentation
  • Grading: Pass-Fail. Credit: 6 hours, upon agreement with the supervisor. 
  • Prerequisites: QM1, QM2.
  • The course is intended for advanced graduate students
  • Everybody is welcome to attend.
  • Webpage: TQM [https://tqmatter.org/]
  • Book: S. Girvin and K. Yang, Modern Condensed Matter Physics
  • Modules for online learning: prerecorded online short lectures on well defined bullets. See list of modules below.
  • Video of live lectures. Live lectures are viewed after the online module lectures are studies. Link will be provided.
  • Format pdf, ppt or pdf handwritten whiteboard note
  • PDF lecture notes.
  • Live online/face to face lectures – personal choice, circumstance permitting.
  • Arrangement: Online lectures: through Zoom.
  • Schedule: Online Mon, Wed, 16:00-17:15. Occasional in-person lecturers according to lecturers preference. Room FA32, AlbaNova.

Topic: Modern Condensed Matter Course

Please download and import the following iCalendar (.ics) files to your calendar system.
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Grading: Pass-Fail. Credit: 6 hours, upon agreement with the supervisor.

Important part of the course are essays on research topic, selected in consultations with teachers. We will give 2-3 weeks to prepare the essays and presentation.

  • For essays: written report ~7-10 pages + ppt (~7 slides) oral presentation (15-20 min) in front of the class.
  • Home work with the problem set: depending on the module and teacher.
  • Finals (DATE: Nov 18 2020): essays on selected topics.

Primary: reference is Girvin Yang, Modern Condensed Matter Physics.

Secondary: Mahan, Condensed Matter in a Nutshell (Princeton University).

Optional: Book on topology: B. Andrei Bernevig – Topological Insulators and Topological Superconductors

Book on Dirac Matter – Matthias Geilhufe.

  • A. V. Balatsky (Nordita/UConn)
  • M. Månsson (KTH)
  • S. Bonetti (SU)
  • J. Weissenrieder (KTH)
  • V. Juricic (Nordita)
  • M. Geilhufe (Nordita)
  • J. Helsvik (Nordita)
  • H. Rostami (Nordita)

Program contacts:

  • avb@nordita.org
  • matthias.geilhufe@su.se
  • habib.rostami@su.s

 

Administrator contacts:

  • jimmie.evenholt@su.se

 

Nordita PhD lecture coordinators:

Contact us if  you are interested in organizing a future Nordita PhD course.

  • alexander.krikun@su.se
  • habib.rostami@su.se

Course Outline

  • 1. Crystal structure
  • 2. Lattice vibrations and phonons
  • 3. X-ray and light sources investigation of materials
  • 4. Electronic band structure of solids; Non-interacting electron gas: surprises in flatland (graphene band structure)
  • 5. Basic properties of metals, semiconductors and insulators
  • 6. Transport theory, effects of magnetic field, impurities
  • 7. Electron-electron interactions, Density Functional Theory
  • 8. Susceptibilities, Response functions
  • 9. Spectroscopy of quantum materials
  • 10. Quantum Hall Effect, Topology: Introduction
  • 11. Dirac and Weyl materials
  • 12. Landau-Ginzburg approach to symmetry breaking: Symmetries and order parameters (magnetism, broken time-invariance, with antiferromagnets as well).
  • 13. Quantum Phase Transitions
  • 14. Magnetism, Hubbard model
  • 15. Neutron scattering investigation of quantum magnetism
  • 16. Bose Einstein Condensation
  • 17. Superconductivity

Topics to research:  Ultrafast, non-equilibrium dynamics, electron-spin-lattice, Topological insulators and Topological nodal states, Dirac and Weyl materials, Machine learning and materials informatics tools. Probes of matter: STM, RIXS, Neutron, ARPES, XFEL

Course Materials

All supporting materials will be uploaded below.

Module 1 (A. Balatsky/ M. Månsson/ J. Weissenrieder)

1. Introduction / 2. Crystal structures, X-ray and light sources investigation of materials / 3. Lattice vibrations – phonons

Lecture 1 (Balatsky) – VIDEOPDF

Lecture 2 (Weissenrieder)VIDEOPDF

Lecture 3 (Balatsky) – VIDEOPDF

Module 2 (M. Geilhufe)

4. Electronic band structure of solids/ Non-interacting electron gas: surprises in flatland (graphene band structure) / 5. Basic properties of metals, semi-conductors and insulators

Lecture 4 (Geilhufe) – VIDEO – PDF & Exercise – Pre-lecture Material

Lecture 5 (Geilhufe) – VIDEO – Pre-lecture Material

Module 3 (M. Geilhufe)

6. Electron-electron interactions, Density Functional Theory / 7. Materials Informatics

Lecture 6 (Geilhufe)  – VIDEO – Notes

Lecture 7 (Geilhufe) – VIDEOLecture Notes

Module 4 (H. Rostami/ S. Bonetti)

 8. Susceptibilities, response function / 9. Spectroscopy of quantum materials

Lecture 8 (Rostami) – VIDEONOTESPre-Lecture Video

Lecture 9 (Bonetti) – VIDEOLecture MaterialPre-Lecture Material

Module 5 (A. Balatsky)

10. Quantum Hall Effect, Topology: Introduction  / 11. Dirac and Weyl materials

Lecture 10 (Balatsky) – VIDEOLecture NotesPre-Lecture Material

Lecture 11 (Balatsky) – VIDEOLecture Material

Module 6 (V. Juricic)

12. Landau-Ginzburg approach to symmetry breaking: Symmetries and order parameters (magnetism, broken time-invariance, with antiferromagnets as well)  / 13. Quantum phase transitions

Lecture 12 (Juricic) – VIDEOPre-Lecture Material

Lecture 13 (Juricic) – VIDEOPre-Lecture Material

Module 7 (A. Balatsky)

14. Bose Einstein Condensation/ 15. Superconductivity.

Lecture 14 (Balatsky) – VIDEOPDFPre-Lecture Material

Lecture 15 (Balatsky) – VIDEOPDF

Module 8 ( J. Hellsvik/ M. Månson)

16. Magnetism, Hubbard model / 17. Neutron scattering investigation of quantum magnetism

Lecture 16 (Hellsvik) – VIDEOPDF/NOTESPre-Lecture Material

Lecture 17 (Månsson) – VIDEOPre-Lecture Material