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Choreographed entanglement dances: Topological states of quantum matter [PDF]
Science, 2019 A topological paradigm shift The discovery of topological phases of matter forced condensed matter physicists to question and reexamine some of the basic notions of their discipline. Wen reviews the progress of the field that took a sharp turn from Landau's broken symmetry paradigm to arrive at the modern notions of topological order and ...
Xiao-Gang Wen
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Gravitational response of topological quantum states of matter
Physical Review B, 2023 Identifying novel topological properties of topological quantum states of matter, such as exemplified by the quantized Hall conductance, is a valuable step towards realizing materials with attractive topological attributes that guarantee their imperviousness to realistic imperfections, disorder and environmental disturbances.
Rudro R Biswas
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Geometric Test for Topological States of Matter [PDF]
Physical Review Letters, 2022 We generalize the flux insertion argument due to Laughlin, Niu-Thouless-Tao-Wu, and Avron-Seiler-Zograf to the case of fractional quantum Hall states on a higher-genus surface. We propose this setting as a test to characterise the robustness, or topologicity, of the quantum state of matter and apply our test to the Laughlin states. Laughlin states form
Semyon Klevtsov, D Zvonkine
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Topological states of condensed matter
Nature Materials, 2017 Topological states of quantum matter have been investigated intensively in recent years in materials science and condensed matter physics. The field developed explosively largely because of the precise theoretical predictions, well-controlled materials processing, and novel characterization techniques.
Jing Wang +2 more
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From the adiabatic theorem of quantum mechanics to topological states of matter [PDF]
Physica Status Solidi - Rapid Research Letters, 2013 Abstractmagnified imageOwing to the enormous interest the rapidly growing field of topological states of matter (TSM) has attracted in recent years, the main focus of this review is on the theoretical foundations of TSM. Starting from the adiabatic theorem of quantum mechanics which we present from a geometrical perspective, the concept of TSM is ...
Jan Carl Budich, Björn Trauzettel
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Towards the manipulation of topological states of matter: a perspective from electron transport [PDF]
Science Bulletin, 2018 Review ...
Cheng Zhang +2 more
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Boundary and domain wall theories of 2d generalized quantum double model
Journal of High Energy Physics, 2023 The generalized quantum double lattice realization of 2d topological orders based on Hopf algebras is discussed in this work. Both left-module and right-module constructions are investigated.
Zhian Jia +2 more
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A lattice model for condensation in Levin-Wen systems
Journal of High Energy Physics, 2023 Levin-Wen string-net models provide a construction of (2+1)D topologically ordered phases of matter with anyonic localized excitations described by the Drinfeld center of a unitary fusion category.
Jessica Christian +3 more
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Extend the Levin-Wen model to two-dimensional topological orders with gapped boundary junctions
Journal of High Energy Physics, 2022 A realistic material may possess defects, which often bring the material new properties that have practical applications. The boundary defects of a two-dimensional topologically ordered system are thought of as an alternative way of realizing topological
Hongyu Wang, Yuting Hu, Yidun Wan
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Categories of quantum liquids I
Journal of High Energy Physics, 2022 We develop a mathematical theory of separable higher categories based on Gaiotto and Johnson-Freyd’s work on condensation completion. Based on this theory, we prove some fundamental results on E m -multi-fusion higher categories and their higher centers.
Liang Kong, Hao Zheng
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