Results 31 to 40 of about 21,384 (300)
Anyonic exclusions statistics on surfaces with gapped boundaries
Journal of High Energy Physics, 2019 An anyonic exclusion statistics, which generalizes the Bose-Einstein and Fermi-Dirac statistics of bosons and fermions, was proposed by Haldane [1].
Yingcheng Li +3 more
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Fusion rules and shrinking rules of topological orders in five dimensions
Journal of High Energy Physics, 2023 As a series of work about 5D (spacetime) topological orders, here we employ the path-integral formalism of 5D topological quantum field theory (TQFT) established in Zhang and Ye, JHEP 04 (2022) 138 to explore non-Abelian fusion rules, hierarchical ...
Yizhou Huang, Zhi-Feng Zhang, Peng Ye
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Bandgap-assisted quantum control of topological edge states in a cavity
Physical Review Research, 2020 Quantum matter with exotic topological order has potential applications in quantum computation. However, in present experiments, the manipulations on topological states are still challenging.
Wei Nie, Yu-xi Liu
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Surface and edge states in topological semimetals [PDF]
, 2011 We study the topologically nontrivial semimetals by means of the six-band Kane model. Existence of surface states is explicitly demonstrated by calculating the local density of states (LDOS) on the material surface.
Chu, RL +7 more
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New states of matter suggested by new topological structures [PDF]
International Journal of General Systems, 2013 We extend the well-known Borromean and Brunnian rings to new higher order versions. Then we suggest an extension of the connection between Efimov states in cold gases and Borromean and Brunnian rings to these new higher order links. This gives rise to a whole new hierarchy of possible states with Efimov states at the bottom.
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TOPOLOGICAL STATES OF MATTER AND NONCOMMUTATIVE GEOMETRY [PDF]
Bulletin of the Australian Mathematical Society, 2016 This thesis examines topological states of matter from the perspective of noncommutative geometry and KK-theory. Examples of such topological states of matter include the quantum Hall effect and topological insulators. For the quantum Hall effect, we consider a continuous model and show that the Hall conductance can be expressed in terms of the index ...
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Journal of High Energy Physics, 2022 Topological orders are a prominent paradigm for describing quantum many-body systems without symmetry-breaking orders. We present a topological quantum field theoretical (TQFT) study on topological orders in five-dimensional spacetime (5D) in which ...
Zhi-Feng Zhang, Peng Ye
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Gapped boundaries and string-like excitations in (3+1)d gauge models of topological phases
Journal of High Energy Physics, 2021 We study lattice Hamiltonian realisations of (3+1)d Dijkgraaf-Witten theory with gapped boundaries. In addition to the bulk loop-like excitations, the Hamiltonian yields bulk dyonic string-like excitations that terminate at gapped boundaries.
Alex Bullivant, Clement Delcamp
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Topological quantum matter with designer materials [PDF]
, 2020 Topological quantum matter, where topological concepts are exploited to discover and classify new phases of matter, has emerged as one of the most important topics in condensed-matter physics in recent years. Topological states with exotic properties are
Huda, Md Nurul
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Boundary Hamiltonian theory for gapped topological phases on an open surface
Journal of High Energy Physics, 2018 In this paper we propose a Hamiltonian approach to gapped topological phases on open surfaces. Our setting is an extension of the Levin-Wen model to a 2d graph on an open surface, whose boundary is part of the graph.
Yuting Hu +4 more
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