Quantum Hall effect in supersymmetric Chern-Simons theories
Change log
Authors
Tong, David https://orcid.org/0000-0001-9120-2174
Turner, Carl https://orcid.org/0000-0001-7202-5731
Abstract
We introduce a supersymmetric Chern-Simons theory whose low energy physics is that of the fractional quantum Hall effect. The supersymmetry allows us to solve the theory analytically. We quantise the vortices and, by relating their dynamics to a matrix model, show that their ground state wavefunction is in the same universality class as the Laughlin state. We further construct coherent state representations of the excitations of a finite number of vortices. These are quasi-holes. By an explicit computation of the Berry phase, without resorting to a plasma analogy, we show that these excitations have fractional charge and spin.
Description
Keywords
hep-th, hep-th, cond-mat.str-el
Journal Title
Physical Review B - Condensed Matter and Materials Physics
Conference Name
Journal ISSN
1098-0121
1550-235X
1550-235X
Volume Title
92
Publisher
American Physical Society (APS)
Publisher DOI
Sponsorship
Science and Technology Facilities Council (ST/L000385/1)
European Research Council (279943)
European Research Council (279943)