Quasi-Particle and Vortex in Anyons

D. Schmeltzer

D. Boyanovsky, David Jasnow

Carlo A. Trugenberger

Masaru Kato, Kazumi Maki

Making use of the Bogoliubov-de Gennes equation, we study the quasi-particle spectrum and the vortex core structure of a single vortex in quasi 2D s-wave superconductors for small $p_Fξ_0$, where $p_F$ is the Fermi momentum and $ξ_0=v_F/Δ_0$ is the coherence length($\hbar=1$). In particular we find that the number of bound states decreases rapidly for decreasing $p_Fξ_0$. Also for $p_Fξ_0\sim 1$, the Kramer-Pesch effect stops around $T/T_c\simeq 0.3$.

Julia Wildeboer, Sourav Manna, Anne E. B. Nielsen

Strongly interacting many-body systems consisting of fermions or bosons can host exotic quasiparticles with anyonic statistics. Here, we demonstrate that many-body systems of anyons can also form anyonic quasi-particles. The charge and statistics of the emergent anyons can be different from those of the original anyons.

Shiing-Shen Chern, C. W. Chu, C. S. Ting