2019/06/30 by Daniel Borcherding, Holger Frahm
Mathematics · Physics and Astronomy · #Abelian group #Cold Atom Physics and Bose-Einstein Condensates #Combinatorics #Degrees of freedom (physics and chemistry) #Fermion #Mathematical physics #Mathematics #Physics #Physics of Superconductivity and Magnetism #Quantum #Quantum many-body systems #Quantum mechanics #Spin (aerodynamics) #Spinor #Topological quantum computer #cond-mat.str-el #hep-th #quant-ph
paper · pdf · doi:10.1007/jhep10(2019)054
published as JHEP 1910 (2019) 054 · 27 pages. arXiv admin note: text overlap with arXiv:1808.05808
arxiv created 2019/09/05 · openalex publication_date 2019/10/01 · arxiv updated 2019/10/17 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
A bstract Starting from a one-dimensional model of relativistic fermions with SO(5) spin and U( N f ) flavour degrees of freedom we study the condensation of SO(5) N f anyons. In the low-energy limit the quasi-particles in the spin sector of this model are found to be massive solitons forming multiplets in the SO(5) vector or spinor representations. The solitons carry internal degrees of freedom which are identified as SO(5) N f anyons. By controlling the external magnetic fields the transitions from a dilute gas of free anyons to various collective states of interacting ones are observed. We identify the generalized parafermionic cosets describing these collective states and propose a low temperature phase diagram for the anyonic modes.