Tuesday, November 9 2021
9:30 - 10:45

#### We use the dynamical structure factors of the quantum Hall statesat $u=1/3$ and $u=1/2$ to study their excitation spectrum. Using thedensity matrix renormalization group in combination with the time-dependentvariational principle on an infinite cylinder geometry, we extract the lowenergy properties. At $u=1/3$, a sharp magnetoroton mode and thetwo-roton continuum agree with the fractionally charged quasi-particlespicture. At $u=1/2$, we find low energy modes with linear dispersion andthe static structure factor $\bar s(q) \sim (q\ell)^3$ in the limit $q\ell\rightarrow 0$. The properties of these modes can be explained by aquasi-1D composite-fermion theory.Here is the link to the Google meet:meet.google.com/jnr-yfsk-mvu

Download as iCalendar

Done