Event time:

Tuesday, October 31, 2017 - 11:00am to 12:00pm

Location:

Sloane Physics Laboratory (SPL), 52

217 Prospect Street

New Haven, CT
06511
Event description:

Quantum systems on a non-simply connected space possess a

“large” gauge invariance. Laughlin utilized this to explain quantum

Hall effect. Later, it was applied to elucidate a universal relation

between filling factor and energy spectrum in quantum many-body

systems on periodic lattices (Lieb-Schultz-Mattis-M.O.-Hastings).

Somewhat surprisingly, the large gauge invariance is also deeply

related to modern theory of electric polarization developed by

Resta et al. Combining these ideas together, we can derive a constraint

on the Hall conductivity of a many-particle system on a periodic

lattice, with a given magnetic flux per plaquette and particle density

Open to:

General Public