Topological Insulators and Topological Superconductors
By Bogdan Andrei Bernevig. 2013
1,852 citations recorded by the source corpus.
Subfields: Atomic and Molecular Physics, and Optics
View Paper: https://www.semanticscholar.org/paper/5b1707dfcb55d7a1decd9d887738d25beeb8abe3
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In Atomic and Molecular Physics, and Optics
Citations in the corpus
- Topological phase transitions and Thouless pumping of light in photonic waveguide arrays (2016, background): “ of large Chern numbersis a significant goal in exploringnoveltopological phases [60, 61]. Generally speaking, large Chern numbers are introduced by weak tunneling in high-order perturbation expansion [62]. Moreover, because of a narrow energy gap, large Chern numbers are very hard to measure in expe”
- Topological Magnons: A Review (2021, background): “But this model merely scratched the surface and by now the exploration of band topology has been one of the most fruitful endeavours of a generation of physicists (2, 3, 4, 5, 6, 7).”
- Geometry of quantum phase transitions (2019, methodology): “n the state geometry, picked up by a quantum state in the form of geometric phase instabilities [31, 32, 33]. Geometric phases are at the core of the characterisation of topological phase transitions [34, 35, 36], and have been employed in the description and detection of QPT, both theoretically [31”
- Lattice gauge theory simulations in the quantum information era (2016, background): “inparticular in the context of topological quantummatter [66].”
- Topological non-Hermitian skin effect (2023, background): “…of matter, a most fundamental principle is the bulk-boundary correspondence (BBC), i.e. the number of edge states under the open boundary conditions (OBCs) has an one-on-one correspondence to a topological invariant defined for the bulk states under the periodic boundary conditions (PBCs) [38–40].”
- Perspective on topological states of non-Hermitian lattices (2019, background): “Unlike conventional phases of matter, the new topological phases [1, 2, 3, 4, 5, 6, 7] cannot be described by a local order parameter [8, 9, 10].”
- Superfluidity in topologically nontrivial flat bands (2015, background): “Indeed, equation (23) also implies that the localization functional is bounded from below by the Chern number.”
- Giant magnetoresistance and perfect spin filter in silicene, germanene, and stanene (2013, background): “Examples of the former are the fractional quantum Hall effect 13,14 and Z 2 spin liquids 15 , while those of the latter are spin-1 Haldane chains 16 , time-reversal invariant topological insulators and topological superconductors 17–19 .”