Topological Condensed Matter Theory

We are a condensed-matter theory group in the Department of Physics and Astronomy at the University of Missouri, Columbia. We study fundamental physics of magnetism and superconductivity as well as their technological applications in practical fields such as spintronics and neuromorphic computing. Many of our research involve topological phenomena including the dynamics of topological solitons and the identification of novel magnetic topological phases. Here are a few keywords describing our research topics:

  • Spintronics/magnonics/skyrmionics in ferromagnets/antiferromagnets/ferrimagnets
  • Quantum magnetism
  • Spin superfluids and magnon Bose-Einstein Condensation (BEC)
  • Two-dimensional quantum materials
  • Dynamics of topological magnetic solitons such as domain walls and skyrmions
  • Dynamics of topological superconducting solitons such as vortices
  • Topological phases such as topological insulators and topological superconductivity

The theoretical frameworks that we use frequently are the following:

  • Lagrangian formalism of magnetic dynamics
  • Symmetry-based phenomenology of collective dynamics
  • Keldysh formalism for nonequilibrium magnetic dynamics
  • Path-integral formalism for quantum dynamics
  • Topology band theory of magnons and electrons
  • Landau-Lifshitz-Gilbert equation for magnetic dynamics

In addition, we often perform the micromagnetic simulations with the aid of software such as OOMMF.

We have openings for enthusiastic graduate students and postdocs. Please send CV to if interested.