Bulletin of the American Physical Society
APS March Meeting 2018
Monday–Friday, March 5–9, 2018; Los Angeles, California
Session A45: Helium 3 and Electron Hydrodynamics
8:00 AM–11:00 AM,
Monday, March 5, 2018
LACC Room: 505
Sponsoring Unit: DCMP
Chair: Johannes Pollanen, Michigan State Univ
Abstract: A45.00014 : Screening properties of quasielectrons in Laughlin states*
10:36 AM–10:48 AM
(University of Cologne)
I review recent work on how to construct a matrix product state representation of quasielectron excitations of Laughlin QH wave functions. These, which are obtained, either by using composite fermions, or conformal field theory, have a known defect - the the positions of the quasielectrons depend on the presence of other quasiparticles even when these are far removed. This poses a serious problem since the braiding phases of the quasiparticles are not correct which signifies that the states do not have correct topological properties. This failure is analyzed in detail and is shown to arise because of an incomplete screening which causes the plasma analogy. We discuss various ways to overcome the problems by adding screening operators.
The research of E.A., T.H.H. and J.K. was sponsored, in part, by the Swedish research council. V.D. was funded by the German Research Foundation (DFG) within the CRC network TR 183 (project B03). M.H. was partially funded by Emmy Noether Grant HE 7267/1-1 of the German Research Foundation (DFG).
The American Physical Society (APS) is a non-profit membership organization working to advance the knowledge of physics.
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