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Dr Michal Kwasigroch
Dr Michal Kwasigroch profile picture
  • Lecturer (Teaching) - Applied Mathematics
  • Dept of Mathematics
  • Faculty of Maths & Physical Sciences
Research Summary

I study many-body quantum systems that are strongly fluctuating. I am particularly interested in systems, where fluctuations give rise to new and exotic phases. Examples include quantum spin liquids (QSL), many-body localised states (MBL) and the Kondo insulator. In QSLs, strong fluctuations induced by local constraints prevent magnetic moments from ordering down to absolute zero. A particularly exciting example is quantum spin ice (see picture on the right), a purported state of matter in some rare-Earth pyrochlores. It is described by a lattice version of Maxwell's theory of light and harbours topological excitations such as magnetic monopoles and fictitious electric charges. Other strongly-fluctuating systems which I have studied include ultracold polar molecules subject to strong disorder, which localises the interacting excitations of the system (many-body localisation) and stops it from thermalising. More recently, I have been looking at how fluctuations of magnetic moments induced by scattering with conduction electrons (Kondo effect) allow the moments to align along the hard-axis, i.e. against the forces from the crystal.

I am currently offering PhD and Master's projects in the following areas:

  • interplay of Kondo screening, magnetism and superconductivity,
  • dynamics of quantum spin liquids at non-zero temperatures,
  • thermalisation of many-body quantum systems,
  • many-body localisation.

I also welcome enquiries with your own project suggestions.

Teaching Summary
  • Lecturer of Mathematics of Electromagnetism and Special Relativity (MATH0055)
  • Tutorials in Mathematical Methods 1 (MATH0010), Mathematical Methods 2 (MATH0011), Newtonian Mechanics (MATH0009) and Applied Mathematics (MATH0008).
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