IQUIST Master Calendar

View Full Calendar

Institute for Condensed Matter Theory Special Seminar: "Fractional Quantum Hall edge modes from topological fluid dynamics"

Event Type
Physics - Condensed Matter
ESB 3110
Apr 13, 2023   11:00 am  
Gustavo Monteiro, City College of New York
Stephen Bullwinkel
Originating Calendar
Physics - Institute for Condensed Matter Theory Seminar

The dynamics of Fractional Quantum Hall (FQH) states with filling factor $\nu=1/(2k+1)$ can be expressed in terms of hydrodynamic equations with an additional constitutive relation, which constrains the flow vorticity to fluctuations of the condensate density (Hall constraint). Therefore, starting from this dissipationless hydrodynamic system, I will discuss which boundary conditions are compatible with the gauge anomaly at the edge of the FQH sample. I will show show that, in the hard wall interface, the anomaly inflow mechanism is fundamentally incompatible with the no-slip condition, that is, when the fluid sticks to the wall. Moreover, the gauge anomaly introduces tangential forces on the boundary which can be canceled by fluid stresses. In the absence of tangent external electric fields, these stresses vanish, which allows the fluid to slip at the wall with no friction. In this limit, that no-stress condition gives rise to a dispersive chiral hydrodynamic edge mode, which is of the form $\omega=2c_s k-c_s \ell_B^2/2 k^3$, and a symmetry protected non-dispersive mode which does not contributes to either the electric or heat transport. If time permits, I will discuss the non-linear dynamics of this edge mode.

link for robots only