Real Space Approaches to Topological Band Systems

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• Ryan L Barnett (Imperial College London)
• Thursday 30 January 2025, 14:00-15:30
• TCM Seminar Room.

If you have a question about this talk, please contact Bo Peng.

The fields of Topology and Condensed Matter Physics have experienced a fruitful overlap which has led to a deep understanding of certain physical properties. For instance, topological invariants expressed in terms of “bulk” quantities (i.e. deep in the material), predict the existence of robust states living on the surface. In this talk, I will focus on a real-space picture of such topological systems. In particular, I will discuss how to construct optimally localised Wannier functions (a key concept bridging solid-state physics and chemistry) for so-called Chern insulators. I will also discuss how standard expressions for polarisation are not generally gauge invariant for topological band systems and show how this can be rectified, drawing on ideas from the Wannier construction.

This talk is part of the Theory of Condensed Matter series.

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