常见的高阶拓扑文献

这里记录一些常见的高阶拓扑文献。

一、论文

1. 2017 - Benalcazar et al. - Quantized electric multipole insulators https://www.science.org/doi/10.1126/science.aah6442
2. 2017 - Benalcazar et al. - Electric multipole moments, topological multipole moment pumping, and chiral hinge states in crystalline insulators https://journals.aps.org/prb/abstract/10.1103/PhysRevB.96.245115
3. 2017 - Song et al. - ( d − 2 ) -Dimensional Edge States of Rotation Symmetry Protected Topological States https://journals.aps.org/prl/abstract/10.1103/PhysRevLett.119.246402
4. 2017 - Langbehn et al. - Reflection-Symmetric Second-Order Topological Insulators and Superconductors https://journals.aps.org/prl/abstract/10.1103/PhysRevLett.119.246401
5. 2018 - Ezawa - Higher-Order Topological Insulators and Semimetals on the Breathing Kagome and Pyrochlore Lattices https://journals.aps.org/prl/abstract/10.1103/PhysRevLett.120.026801
6. 2018 - Schindler et al. - Higher-order topological insulators https://www.science.org/doi/10.1126/sciadv.aat0346
7. 2018 - Imhof et al. - Topolectrical-circuit realization of topological corner modes https://www.nature.com/articles/s41567-018-0246-1
8. 2018 - Serra-Garcia et al. - Observation of a phononic quadrupole topological insulator https://www.nature.com/articles/nature25156
9. 2018 - Peterson et al. - A quantized microwave quadrupole insulator with topologically protected corner states https://www.nature.com/articles/nature25777
10. 2018 - Schindler et al. - Higher-order topology in bismuth https://www.nature.com/articles/s41567-018-0224-7
11. 2018 - Noh et al. - Topological protection of photonic mid-gap defect modes https://www.nature.com/articles/s41566-018-0179-3
12. 2018 - Khalaf - Higher-order topological insulators and superconductors protected by inversion symmetry https://journals.aps.org/prb/abstract/10.1103/PhysRevB.97.205136
13. 2018 - Geier et al. - Second-order topological insulators and superconductors with an order-two crystalline symmetry https://journals.aps.org/prb/abstract/10.1103/PhysRevB.97.205135
14. 2018 - Xie et al. - Second-order photonic topological insulator with corner states https://journals.aps.org/prb/abstract/10.1103/PhysRevB.98.205147
15. 2018 - Yan et al. - Majorana Corner Modes in a High-Temperature Platform https://journals.aps.org/prl/abstract/10.1103/PhysRevLett.121.096803
16. 2018 - van Miert and Ortix - Higher-order topological insulators protected by inversion and rotoinversion symmetries https://journals.aps.org/prb/abstract/10.1103/PhysRevB.98.081110
17. 2018 - Ezawa - Minimal models for Wannier-type higher-order topological insulators and phosphorene https://journals.aps.org/prb/abstract/10.1103/PhysRevB.98.045125
18. 2019 - Xue et al. - Acoustic higher-order topological insulator on a kagome lattice https://www.nature.com/articles/s41563-018-0251-x
19. 2019 - Ni et al. - Observation of higher-order topological acoustic states protected by generalized chiral symmetry https://www.nature.com/articles/s41563-018-0252-9
20. 2019 - Mittal et al. - Photonic quadrupole topological phases https://www.nature.com/articles/s41566-019-0452-0
21. 2019 - Zhang et al. - Second-order topology and multidimensional topological transitions in sonic crystals https://www.nature.com/articles/s41567-019-0472-1
22. 2019 - El Hassan et al. - Corner states of light in photonic waveguides https://www.nature.com/articles/s41566-019-0519-y
23. 2019 - Benalcazar et al. - Quantization of fractional corner charge in C n -symmetric higher-order topological crystalline insulators https://journals.aps.org/prb/abstract/10.1103/PhysRevB.99.245151
24. 2019 - Chen et al. - Direct Observation of Corner States in Second-Order Topological Photonic Crystal Slabs https://journals.aps.org/prl/abstract/10.1103/PhysRevLett.122.233902
25. 2019 - Xie et al. - Visualization of Higher-Order Topological Insulating Phases in Two-Dimensional Dielectric Photonic Crystals https://journals.aps.org/prl/abstract/10.1103/PhysRevLett.122.233903
26. 2019 - Wang et al. - Higher-Order Topology, Monopole Nodal Lines, and the Origin of Large Fermi Arcs in Transition Metal Dichalcogenides X Te 2 ( X = Mo , W ) https://journals.aps.org/prl/abstract/10.1103/PhysRevLett.123.186401
27. 2019 - Trifunovic and Brouwer - Higher-Order Bulk-Boundary Correspondence for Topological Crystalline Phases https://journals.aps.org/prx/abstract/10.1103/PhysRevX.9.011012
28. 2019 - Ota et al. - Photonic crystal nanocavity based on a topological corner state https://opg.optica.org/optica/fulltext.cfm?uri=optica-6-6-786&id=413249
29. 2019 - Yang et al. - Realization of a three-dimensional photonic topological insulator https://www.nature.com/articles/s41586-018-0829-0
30. 2019 - Călugăru et al. - Higher-order topological phases A general principle of construction https://journals.aps.org/prb/abstract/10.1103/PhysRevB.99.041301
31. 2019 - Serra-Garcia et al. - Observation of quadrupole transitions and edge mode topology in an LC circuit network https://journals.aps.org/prb/abstract/10.1103/PhysRevB.99.020304
32. 2019 - Zhang et al. - Dimensional hierarchy of higher-order topology in three-dimensional sonic crystals https://www.nature.com/articles/s41467-019-13333-9
33. 2019 - Xue et al. - Realization of an Acoustic Third-Order Topological Insulator https://journals.aps.org/prl/abstract/10.1103/PhysRevLett.122.244301
34. 2019 - Fan et al. - Elastic Higher-Order Topological Insulator with Topologically Protected Corner States https://journals.aps.org/prl/abstract/10.1103/PhysRevLett.122.204301
35. 2019 - Zhang et al. - Deep-Subwavelength Holey Acoustic Second-Order Topological Insulators https://onlinelibrary.wiley.com/doi/10.1002/adma.201904682
36. 2020 - Li - Higher-order topological states in photonic kagome crystals with long-range interactions https://www.nature.com/articles/s41566-019-0561-9
37. 2020 - Peterson et al. - A fractional corner anomaly reveals higher-order topology https://www.science.org/doi/10.1126/science.aba7604
38. 2020 - Xue et al. - Observation of an acoustic octupole topological insulator https://www.nature.com/articles/s41467-020-16350-1
39. 2020 - Ni et al. - Demonstration of a quantized acoustic octupole topological insulator https://www.nature.com/articles/s41467-020-15705-y
40. 2020 - Weiner et al. - Demonstration of a third-order hierarchy of topological states in a three-dimensional acoustic metamaterial https://www.science.org/doi/10.1126/sciadv.aay4166
41. 2020 - Qi et al. - Acoustic Realization of Quadrupole Topological Insulators https://journals.aps.org/prl/abstract/10.1103/PhysRevLett.124.206601
42. 2020 - He et al. - Quadrupole topological photonic crystals https://www.nature.com/articles/s41467-020-16916-z
43. 2020 - Zhang et al. - Low-threshold topological nanolasers based on the second-order corner state https://www.nature.com/articles/s41377-020-00352-1
44. 2020 - Xie et al. - Higher-order quantum spin Hall effect in a photonic crystal https://www.nature.com/articles/s41467-020-17593-8
45. 2020 - Wang et al. - Higher-Order Weyl Semimetals https://journals.aps.org/prl/abstract/10.1103/PhysRevLett.125.146401
46. 2021 - Luo et al. - Observation of a phononic higher-order Weyl semimetal https://www.nature.com/articles/s41563-021-00985-6
47. 2021 - Liu et al. - Bulk–disclination correspondence in topological crystalline insulators https://www.nature.com/articles/s41586-020-03125-3
48. 2021 - Kirsch et al. - Nonlinear second-order photonic topological insulators https://www.nature.com/articles/s41567-021-01275-3
49. 2021 - Wei et al. - Higher-order topological semimetal in acoustic crystals https://www.nature.com/articles/s41563-021-00933-4
50. ……

二、文献

1. 2020 - Kim et al. - Recent advances in 2D, 3D and higher-order topological photonics https://www.nature.com/articles/s41377-020-0331-y
2. 2021 - Xie et al. - Higher-order band topology https://www.nature.com/articles/s42254-021-00323-4
3. ……

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