Classification of topological quantum matter with symmetries
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- Type
- article
- Published
- 2015-05-13
- Cited by
- 2,218
- References
- 69
- Access
- Open access
- OpenAlex
- https://openalex.org/W1904914631
- Semantic Scholar
- https://api.semanticscholar.org/CorpusID:119294876
Keywords
Physics, Homogeneous space, Theoretical physics, Quantum, Topology (electrical circuits)
References
- Interaction-enabled topological crystalline phases
- Topological properties of possible Weyl superconducting states of URu_2Si_2
- Bott Periodicity for Z_2Z2 Symmetric Ground States of Gapped Free-Fermion Systems
- New classes of three-dimensional topological crystalline insulators: Nonsymmorphic and magnetic
- Non-commutative odd Chern numbers and topological phases of disordered chiral systems
- K-Theory: An Introduction
- Anomalous Symmetry Fractionalization and Surface Topological Order
- On the K-Theoretic Classification of Topological Phases of Matter
- Global anomalies on the surface of fermionic symmetry-protected topological phases in (3+1) dimensions
- Proposed platform to study interaction-enabled topological phases with fermionic particles
- Multikink topological terms and charge-binding domain-wall condensation induced symmetry-protected topological states: Beyond Chern-Simons/BF field theories
- Classification and properties of symmetry-enriched topological phases: Chern-Simons approach with applications to Z 2 spin liquids
- Interaction effects on 3D topological superconductors: surface topological order from vortex condensation, the 16 fold way and fermionic Kramers doublets
- Topological phases protected by reflection symmetry and cross-cap states
- Space group symmetries and low lying excitations of many-body systems at integer fillings
- Anderson localization and the topology of classifying spaces
- Nontrivial surface topological physics from strong and weak topological insulators and superconductors
- Chiral magnetic effect in ZrTe5
- Defects and Geometry in Condensed Matter Physics
- Fermion masses without symmetry breaking in two spacetime dimensions
Cited by
- Symmetry-protected topological photonic crystal in three dimensions
- Multiple signatures of topological transitions for interacting fermions in chain lattices
- Large-gap Two-dimensional Topological Insulator in Oxygen Functionalized MXene
- Majoranas with and without a ‘character’: hybridization, braiding and chiral Majorana number
- Topological insulators and K-theory
- Topology of Fermi Surfaces and Anomalies
- Topological semimetals with helicoid surface states
- Effective hydrodynamic field theory and condensation picture of topological insulators
- Topological nature of nonlinear optical effects in solids
- Relation between two-phase quantum walks and the topological invariant
- Double Weyl points and Fermi arcs of topological semimetals in non-Abelian gauge potentials
- Topological semimetals predicted from first-principles calculations
- Classification of topological phonons in linear mechanical metamaterials
- Exactly solvable spin chain models corresponding to BDI class of topological superconductors
- Engineering of many-body Majorana states in a topological insulator/s-wave superconductor heterostructure
- Coexistence of Weyl fermion and massless triply degenerate nodal points
- The tenfold way redux: Fermionic systems with N-body interactions
- Relationship between symmetry protected topological phases and boundary conformal field theories via the entanglement spectrum
- Mesoscopic Transport in Topological Insulator Nanostructures
- Synthetic Dimensions with Magnetic Fields and Local Interactions in Photonic Lattices.
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