The standard topological approach to indistinguishable particles formulates exchange statistics by using the fundamental group to analyze the connectedness of the configuration space. Although successful in two and more dimensions, this approach gives only trivial or near trivial exchange statistics in one dimension because two-body coincidences are excluded from configuration space. Instead, we include these path-ambiguous singular points and consider configuration space as an orbifold. This orbifold topological approach allows unified analysis of exchange statistics in any dimension and predicts novel possibilities for anyons in one-dimensional systems, including non-abelian anyons obeying alternate strand groups. These results clarify the non-topological origin of fractional statistics in one-dimensional anyon models.
Exchange operation of Majorana zero modes in topological insulator-based Josephson trijunctions
Beijing National Laboratory for Condensed Matter Physics, Institute of Physics, Chinese Academy of Sciences（中国科学院物理研究所）；School of Physical Sciences, University of Chinese Academy of Sciences（中国科学院大学物理科学学院）；College of Physics, Nanjing University（南京大学物理学院）
Quantum Statistics Forbids Particle Exchange Statistics beyond Bosons and Fermions in 3D
Tiangong University（天津工业大学）；People’s Public Security University of China（中国人民公安大学）；Tianjin University（天津大学）；Dali University（大理大学）；Max Planck Institute for the Physics of Complex Systems（马克斯·普朗克复杂系统物理研究所）
MESA+ Institute for Nanotechnology, University of Twente（特温特大学 MESA+ 纳米技术研究所）；Faculty of Engineering and Natural Sciences, Sabanci University（萨班奇大学工程与自然科学学院）；QuTech, Delft University of Technology（代尔夫特理工大学 QuTech）；Kavli Institute of Nanoscience, Delft University of Technology（代尔夫特理工大学卡弗里纳米科学研究所）；TÜBİTAK Research Institute for Fundamental Sciences（土耳其科技研究基金会基础科学研究院）
Measuring Anyonic Exchange Phases Using Two-Dimensional Coherent Spectroscopy
Technical University of Munich（慕尼黑工业大学）；Munich Center for Quantum Science and Technology (MCQST)（慕尼黑量子科学与技术中心）；Los Alamos National Laboratory（洛斯阿拉莫斯国家实验室）
Universal Statistics of Charges Exchanges in Non-Abelian Quantum Transport
Instituto de Física Teórica (IFT), UAM-CSIC（理论物理研究所 (IFT)，马德里自治大学-西班牙国家科学研究委员会）；Institute for Cross-Disciplinary Physics and Complex Systems (IFISC), UIB-CSIC（交叉物理学与复杂系统研究所 (IFISC)，巴利阿里群岛大学-西班牙国家科学研究委员会）
