2020/06/30 by Luca Fresta, Per Moosavi · 4 citations
Mathematics · Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #Coupling (piping) #Diagonal #Fermion #Gauge (firearms) #Gauge theory #Geometry #Materials science #Mathematical physics #Mathematics #Order (exchange) #Physics #Quantum #Quantum and electron transport phenomena #Quantum many-body systems #Quantum mechanics #Range (aeronautics) #Topological quantum computer #cond-mat.quant-gas #cond-mat.stat-mech #math-ph #math.MP
paper · pdf · doi:10.1103/physrevb.103.085140
published in Physical review. B./Physical review. B 103(8) (American Physical Society) · 15 pages, RevTeX, 1 figure; minor updates and corrections to original submission, final published version; missing references added after publication
openalex created_date 2020/07/02 · openalex publication_date 2021/02/26 · arxiv created 2021/09/10 · arxiv updated 2021/09/13 · openalex updated_date 2026/08/05
We construct and study relativistic anyons in 1+1 dimensions generalizing well-known models of Dirac fermions. First, a model of free anyons is constructed and then extended in two ways: (i) by adding density-density interactions, as in the Luttinger model, and (ii) by coupling the free anyons to a U(1)-gauge field, as in the Schwinger model. Second, physical properties of these extensions are studied. By investigating off-diagonal long-range order (ODLRO) at zero temperature, we show that anyonic statistics allows one to get arbitrarily close to ODLRO but that this possibility is destroyed by the gauge coupling. The latter is due to a nonzero effective mass generated by gauge invariance, which we show also implies the presence of screening, independently of the anyonic statistics.