Professor Gerardo Ortiz, Indiana University
Title: "Repulsive Interactions in Quantum Hall Systems as a Pairing Problem"
Abstract: A subtle relation between Quantum Hall physics and the phenomenon of
pairing, common in superconductivity, is unveiled. By use of second
quantization, we establish a connection between (i) a broad class of
rotationally symmetric two-body interactions within the lowest Landau
level and (ii) integrable hyperbolic Richardson-Gaudin type Hamiltonians
that arise in (p_x+ip_y) superconductivity. Specifically, we show that
general Haldane pseudopotentials (and their sums) can be expressed as a
sum of repulsive non-commuting (p_x+ip_y)-type pairing Hamiltonians. For
the Laughlin sequence, it is observed that this problem is frustration
free and zero energy ground states lie in the common null space of all of
these non-commuting Hamiltonians.
Events are free and open to the public unless otherwise noted.