Physics and Astronomy Quantum Nano Seminar

Dartmouth Events

Physics and Astronomy Quantum Nano Seminar

Professor Gerardo Ortiz, Indiana University

Thursday, February 13, 2014
Wilder 202
Intended Audience(s): Public
Categories: Lectures & Seminars

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.

For more information, contact:
Tressena Manning

Events are free and open to the public unless otherwise noted.