NUIM Math. Physics seminar

Niall Moran

Topological d-wave pairing structures in Jain states

Friday 15 Feb at 14.00

Hall C, Arts Building, North Campus

We discuss d-wave topological (broken time-reversal symmetry) pairing structures in unpolarized Jain states. We demonstrate pairing in the Jain spin-singlet state by rewriting it in an explicit pairing form, in which we can recognize d-wave weak pairing of underlying quasiparticles - composite fermions. We find and describe the root configuration of the Jain spin-singlet state and its connection with neutral excitations of the Haldane-Rezayi state, and study the transition between these states via exact diagonalization. We find high overlaps with the Jain spin-singlet state upon a departure from the hollow-core model for which the Haldane-Rezayi state is the exact ground state. Due to a proven algebraic identity we are able to extend the analysis of topological d-wave pairing structures to polarized Jain states and integer quantum Hall states and discuss its consequences.

All are welcome. Tea/coffee and biscuits to follow. For directions to the Dept. please check http://www.thphys.nuim.ie/map.php