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Identifying experimental signatures of anyons, which exhibit fractional exchange statistics, remains a central challenge in the study of two-dimensional topologically ordered systems. Previous theoretical work has shown that the threshold…

Strongly Correlated Electrons · Physics 2025-11-24 Nico Kirchner , Wonjune Choi , Frank Pollmann

We show that the braiding of anyons in a quantum spin liquid leaves a distinct dynamical signature in the nonlinear pump-probe response. Using a combination of exact diagonalization and matrix product state techniques, we study the…

Strongly Correlated Electrons · Physics 2026-01-22 Xu Yang , Ryan Buechele , Nandini Trivedi

The low-energy dynamics of two-dimensional topological matter hinges on its one-dimensional edge modes. Tunneling between fractional quantum Hall edge modes facilitates the study of anyonic statistics: it induces time-domain braiding that…

Mesoscale and Nanoscale Physics · Physics 2025-07-25 Gu Zhang , Igor Gornyi , Yuval Gefen

Two-dimensional systems such as quantum spin liquids or fractional quantum Hall systems exhibit anyonic excitations that possess more general statistics than bosons or fermions. This exotic statistics makes it challenging to solve even a…

Strongly Correlated Electrons · Physics 2023-08-24 Nico Kirchner , Darragh Millar , Babatunde M. Ayeni , Adam Smith , Joost K. Slingerland , Frank Pollmann

Topological phases in two dimensions support anyonic quasiparticle excitations that obey neither bosonic nor fermionic statistics. These anyon structures often carry global symmetries that relate distinct anyons with similar fusion and…

Strongly Correlated Electrons · Physics 2016-03-09 Jeffrey C. Y. Teo

Relaxation processes in topological phases such as quantum spin liquids are controlled by the dynamics and interaction of fractionalized excitations. In layered materials hosting two-dimensional topological phases, elementary quasiparticles…

Strongly Correlated Electrons · Physics 2026-01-29 Aprem P. Joy , Roman Lange , Achim Rosch

We show that the anyonic statistics of fractionalized excitations display characteristic signatures in threshold spectroscopic measurements. Drawing motivation from topologically ordered phases such as gapped quantum spin liquids and…

Strongly Correlated Electrons · Physics 2017-06-07 Siddhardh C. Morampudi , Ari M. Turner , Frank Pollmann , Frank Wilczek

Fractional statistics of quasiparticle excitations often plays an important role in the detection and characterization of topological systems. In this paper, we investigate the case of a three-dimensional (3D) Z2 gauge theory, where the…

Disordered Systems and Neural Networks · Physics 2022-12-26 Minho Kim , Giuseppe De Tomasi , Claudio Castelnovo

We investigate the effects of quenched randomness on topological quantum phase transitions in strongly interacting two-dimensional systems. We focus first on transitions driven by the condensation of a subset of fractionalized…

Strongly Correlated Electrons · Physics 2021-03-03 Byungmin Kang , S. A. Parameswaran , Andrew C. Potter , Romain Vasseur , Snir Gazit

Contrary to fermions and bosons, anyons are quasiparticles that keep a robust memory of particle exchanges via a braiding phase factor. This provides them with unique dynamical properties so far unexplored. When an anyon excitation is…

Boundary conformal field theory is brought to bear on the study of topological insulating phases of non-abelian anyonic chains. These topologically non-trivial phases display protected anyonic end modes. We consider antiferromagnetically…

Strongly Correlated Electrons · Physics 2014-08-25 Wade DeGottardi

Strongly correlated quantum systems can exhibit exotic behavior called topological order which is characterized by non-local correlations that depend on the system topology. Such systems can exhibit remarkable phenomena such as…

Topological phases in (2+1)-dimensions are frequently equipped with global symmetries, like conjugation, bilayer or electric-magnetic duality, that relabel anyons without affecting the topological structures. Twist defects are static…

Strongly Correlated Electrons · Physics 2015-06-09 Jeffrey C. Y. Teo , Taylor L. Hughes , Eduardo Fradkin

Topological quantum states of matter, both Abelian and non-Abelian, are characterized by excitations whose wavefunctions undergo non-trivial statistical transformations as one excitation is moved (braided) around another. Topological…

Quantum Physics · Physics 2009-11-13 Chuanwei Zhang , V. W. Scarola , Sumanta Tewari , S. Das Sarma

We study thermal relaxation in ordered arrays of coupled nonlinear elements with external driving. We find, that our model exhibits dynamic self-organization manifested in a universal stretched-exponential form of relaxation. We identify…

Statistical Mechanics · Physics 2009-10-31 Ibrahim Fatkullin , Konstantin Kladko , Igor Mitkov , A. R. Bishop

The behavior of a collection of identical particles is intimately linked to the symmetries of their wavefunction under particle exchange. Topological anyons, arising as quasiparticles in low-dimensional systems, interpolate between bosons…

Quantum Physics · Physics 2026-05-29 Joe Dunlop , Álvaro Tejero , Michalis Skotiniotis , Daniel Manzano

Anyon colliders -- quantum Hall devices where dilute quasiparticle beams collide at a quantum point contact -- provide an interferometer-free probe of anyonic exchange phases through current cross correlations. Within a non-equilibrium…

Mesoscale and Nanoscale Physics · Physics 2025-10-15 Bernd Rosenow , Bertrand I. Halperin

The appearance of quasiparticle excitations with fractional statistics is a remarkable defining trait of topologically ordered systems. In this work, we investigate the experimentally relevant finite temperature regime in which one species…

Strongly Correlated Electrons · Physics 2020-07-22 Oliver Hart , Yuan Wan , Claudio Castelnovo

Recent measurements on 2d materials tuning between fractional quantum anomalous Hall phases and a plethora of correlated electronic states call for a detailed understanding of the dynamics of anyons. Here we develop a general theory of the…

Strongly Correlated Electrons · Physics 2025-08-22 Yuto Nakajima , Umang Mehta , Hart Goldman

We study the properties of entanglement in two-dimensional topologically ordered phases of matter. Such phases support anyons, quasiparticles with exotic exchange statistics. The emergent nonlocal state spaces of anyonic systems admit a…

Quantum Physics · Physics 2017-10-17 Parsa Bonderson , Christina Knapp , Kaushal Patel
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