Mainz 2026 – scientific programme
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Q: Fachverband Quantenoptik und Photonik
Q 75: Quantum Systems between Bose and Fermi Statistics
Q 75.2: Talk
Friday, March 6, 2026, 11:15–11:30, P 11
Finite-Size Effect in Anyonic Schulz-Shastry Models — Borna Perkovic1, •Martin Bonkhoff2, and Thore Posske2 — 1Physics Department, Massachusetts Institute of Technology, 182 Memorial Dr, Cambridge, MA 02139, USA — 2I. Institut für Theoretische Physik, Universität Hamburg, 22607 Hamburg, Germany
Luttinger liquid theory for canonical particles or spins is typically spatio-temporally symmetric, as dictated by the symmetries of the underlying lattice models. In contrast, for one-dimensional anyons, additional fixed points arise that feature spatio-temporally asymmetric marginal couplings, belonging to the Schulz-Shastry class [1]. We investigate the finite-size effects of a two-leg model that captures anyonic low-energy excitations in a saturated spin-1/2 chain with next-nearest-neighbour interactions [2]. We compute boundary characteristics such as Friedel oscillations and persistent currents, and determine both the bulk and boundary limits of correlation functions [1] K. V. Pham, M. Gabay and P. Lederer, EPL 51 161 (2000). [2] Rahmani, Armin and Feiguin, Adrian E. and Batista, Cristian D. Phys. Rev. Lett. 113, 267201 (2014).
Keywords: anyons; one-dimension; Luttinger liquid