Spectroscopy And Microscopy In Condensed Matter Physics


Contemporary condensed matter research involves techniques that rely on intricate quantum effects that enable us to probe various electronic properties. Yesterday's research achievements are today's research tools. The aim of the course is to expose the participants to the variety of modern experimental spectroscopic tools commonly used and reported in the field. This will allow them to better comprehend the broader relevance and impact of their own research, as well as the physical findings reported in scientific papers and talks and the spectroscopic properties therein. It is therefore relevant for condensed matter theorist and experimentalists alike. The tutorials will illustrate the application of those techniques in research topics such as high-temperature superconductivity, topological electronic phases, and correlated electronic systems that stand in the focus of modern condensed matter research.

Among the experimental techniques covered:

  • Experimental environment - Cryogenics, Magnets, (Ultra-) high vacuum.
  • Electrical transport - Resistivity, Hall effect, Nernst effect, de Haas van Alphen oscillations
  • Angular resolved photoemission spectroscopy (ARPES)
  • Tunneling spectroscopy - planar junctions, point contact, Andreev spectroscopy
  • Scanning tunneling microscopy (STM) and spectroscopy
  • Atomic force microscopy (AFM), Kelvin probe,
  • Neutron scattering and Muon spin relaxation
  • Synchrotron radiation - X-ray diffraction, circular dichroism, resonant inelastic X-ray spectroscopy (RIXS)
  • Magnetometry - Hall, SQUID, torque
  • Raman spectroscopy, NMR



  1. Tutorial 1 - SSH
  2. Tutorial 2 - Laundauer-Buttiker Formalism
  3. Tutorial 3 - Quantum Spin Hall
  4. Tutorial 4 - dHvA
  5. Tutorial 5 - ARPES 3D TI
  6. Tutorial 6 - ARPES Floquet
  7. Tutorial 7 - STM Majorana Atomic Chain
  8. Tutorial 8 - STM 3D TI
  9. Tutorial 9 - SQUID


Please email the solution to abhaykumar.nayak at weizmann.ac.il

  1. Assignment 1 and  data (Due: 28/05/2019)
  2. Assignment 2 and data (Due: 18/06/2019)
  3. Assignment 3 and data (Due: 16/07/2019)


Exam and data

Please submit it by 06/08/2019 (extended deadline). Any announcements/correction/notice concerning the exam will be posted here. Do check this space regularly.


Units of STM data: E (meV), x and y (A)
Units of ARPES data: E (eV), kx and ky (A^{-1})

stm_data.E should be [240   200   160   120    80    40     0   -40   -80   -120   -160].



The data arpes48eV.Y.ky is off by a factor of 2. 
Currently, it spans from -0.331 to 0.331. It should span from -0.6662 to 0.6662.