2026-02-03 沖縄科学技術大学院大学（OIST）
＜関連情報＞
- https://www.oist.jp/ja/news-center/news/2026/2/4/new-class-strange-one-dimensional-particles
- https://journals.aps.org/pra/abstract/10.1103/zf6z-2jjs
二体相互作用を持つ同一の一次元エニオンの普遍運動量テール Universal momentum tail of identical one-dimensional anyons with two-body interactions
Raúl Hidalgo-Sacoto, Thomas Busch, and D. Blume
Physical Review A Published 11 December, 2025
DOI: https://doi.org/10.1103/zf6z-2jjs
Abstract
Nonrelativistic anyons in one dimension possess generalized exchange statistics in which the exchange of two identical anyons generates a phase that is governed by the spatial ordering of the particles and the statistical parameter . Working in the continuum, we demonstrate the existence of two distinct types of one-dimensional (1D) anyons, namely, bosonic anyons and fermionic anyons. We identify a many-body Hamiltonian with additive two-body zero-range interactions that supports bosonic and fermionic anyon eigenstates, which are, for arbitrary interaction strength, related through a generalized bosonic-anyon–fermionic-anyon mapping, an extension of the celebrated Bose-Fermi mapping for zero-range interacting 1D systems. The momentum distributions of bosonic and fermionic anyons are distinct: while both feature k−2 and k−3 tails, the associated prefactors differ. Our work reveals intricate connections between the generalized exchange statistics, the universal two- and three-body Tan contacts of systems consisting of N identical particles, and the emergence of statistics-induced chiral symmetry breaking.
