Special Physics Colloquium: Tuesday March 12th: Revealing the topology of Fermi-surface wave functions from magnetic quantum oscillations

Event Date: 

Tuesday, March 12, 2019 - 3:45pm

Event Date Details: 

Refreshments to be served at 3:30pm

Event Location: 

  • Broida 1640
  • Special Physics Colloquium

In the quantum theory of solids, a metal is distinguished from an insulator by having a Fermi surface - a surface (in momentum space) where "the drama of the life of the electron is played out". Understanding how electrons behave on the Fermi surface is crucial to understanding the basic properties of metals, such as their lustrous appearance, and their ability to conduct heat and electricity. Solid-state physicists have developed experimental techniques to trace out the geometrical shape of the Fermi surface – to an accuracy of one in a thousand. However, certain emergent properties of metals are not determined by Fermi-surface geometry, but instead depend on the quantum-mechanical  wave function of electrons on the Fermi surface. Such emergent properties include: (i) an intrinsic angular momentum (beyond spin) that originates from the electron’s interaction with the crystalline lattice of ions, and  (ii) the geometric Berry phase that an electron acquires in travelling around the Fermi surface.  For some symmetry classes of metals, these properties are remarkably robust – unchanging under continuous deformations. Such robustness is a hallmark of a new generation of ‘topological metals’, whose recent discovery has revolutionized the field of condensed matter. I will describe how a well-known experimental technique (magnetic quantum oscillations) can be refined to unambiguously diagnose a topological metal from a conventional one. 

Aris Alexandradinata, University of Illinois Urbana-Champaign