Alexis Drouot
Alexis Drouot
I am an Assistant Professor in the department of Mathematics at the University of Washington. I am interested in partial differential equations in condensed matter physics.
I am an Assistant Professor in the department of Mathematics at the University of Washington. I am interested in partial differential equations in condensed matter physics.
For instance, when two insulating, topologically distinct phases of matter are glued together, electrons propagate emerge along the interface. My current research focuses on describing analytically their wavefunctions: for instance, what is their speed and their profile?
For instance, when two insulating, topologically distinct phases of matter are glued together, electrons propagate emerge along the interface. My current research focuses on describing analytically their wavefunctions: for instance, what is their speed and their profile?
Below is the simulation of a topological corner state. Two materials with distinct Hall conductance, one occupying the top right quadrant, and the other occupying the three remaining quadrants, are glued together. Schrodinger waves (corresponding to currents) develop spontaneously along the corner.
3D plot of wavefunction
3D plot of wavefunction
Level sets of the wavefunction
Level sets of the wavefunction