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We are interested in how to understand and predict novel properties in solid state materials. Below are a few directions we have investigated recently:
We are interested in how to understand and predict novel properties in solid state materials. Below are a few directions we have investigated recently:
- Topological magnons
- Topological crystalline materials
- Unconventional Superconductivity
- Dirac and Weyl semimetals
Recent highlights:
Recent highlights:
- "Fermionization" and classification of topological magnons (arXiv:1807.05232)
We establish a "fermionization" framework which maps a linear spin wave to a BdG Hamiltonian of non-interacting fermions, which allows us to fully classify and compute the magnon band topology in any given linear spin wave theory. We apply this framework to identify topological magnons in the zigzag order of $\alpha$-RuCl3.
- Step-edge bound states on the surface of topological crystalline insulator (TCI) Pb0.7Sn0.3Se (arXiv:1809.10689)
In collaboration with Vidya Madhavan group at UIUC, we clarify the topological nature of step-edge bound states on the surface of TCI material Pb0.7Sn0.3Se. We identify its topological index protected by an emergent particle-hole symmetry. We also theoretically predict the effects of an external magnetic field on step-edge bound states, which are confirmed experimentally by scanning tunneling spectroscopy (STS) measurements.
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