Only hybrid anyons can exist in broken symmetry phase of nonrelativistic $U(1{)}^2$ Chern-Simons theory

Abstract

We present two examples of parity-invariant $[U(1){]}^2$ Chern-Simons-Higgs models with spontaneously broken symmetry. The models possess topological vortex excitations. It is argued that the smallest possible flux quanta are composites of one quantum of each type $(1,1)$. These hybrid anyons will dominate the statistical properties near the ground state. We analyse their statistical interactions and find out that unlike in the case of Jackiw-Pi solitons there is short range magnetic interaction which can lead to formation of bound states of hybrid anyons. In addition to mutual interactions they possess internal structure which can lead upon quantisation to discrete spectrum of energy levels.

10 pages in plain Latex (one argument added, version accepted for publication in Phys.Rev.D(Rapid Communications) )

References in corpus (4)

• Nonrelativistic Chern-Simons theory for the Repulsive Bose Gas
• Schrödinger Fields on the Plane with $[U(1){]}^N$ Chern-Simons Interactions and Generalized Self-dual Solitons
• Vortex Dynamics in Self-Dual Chern-Simons Higgs Systems
• Low energy dynamics of U(1)^{N} Chern-Simons solitons

Cited by in corpus (3)

• More on scattering of Chern-Simons vortices
• Existence results for a non-relativistic Chern-Simons model with purely mutual interaction
• Vortices in a parity-invariant Maxwell-Chern-Simons model