nLab
topological insulator

Contents

Contents

Idea

For the moment see at topological phase of matter.

Examples

References

General

Review:

With focus on the case protected by crystallographic group-symmetry:

Textbook account:

See also:

Review in the more general context of topological phases of matter

See also:

  • Liang Fu, Charles L. Kane, Topological insulators with inversion symmetry, Physical Review B 76 (4): 045302. arXiv:cond-mat/0611341 doi;

  • Superconducting proximity effect and Majorana fermions at the surface of a topological insulator, Phys. Rev. Lett. 100: 096407, arXiv:0707.1692 doi

  • Jeffrey C. Y. Teo, Liang Fu, Charles L. Kane, Surface states and topological invariants in three-dimensional topological insulators: Application to Bi 1xSb xBi_{1-x}Sb_x, Phys. Rev. B 78, 045426 (2008) doi

  • J. Kellendonk, On the C *C^\ast-algebraic approach to topological phases for insulators, arxiv/1509.06271

  • A. Kitaev, Periodic table for topological insulators and superconductors. (Advances in Theoretical Physics: Landau Memorial Conference) AIP Conference Proceedings 1134, 22-30 (2009).

Interacting topological insulators:

The topological insulator in 2D exhibiting a quantum spin Hall effect has been first proposed in

  • B. Andrei Bernevig, Taylor L. Hughes, Shou-Cheng Zhang, Quantum spin Hall effect and topological phase transition in HgTe quantum wells, Science 314, n. 5806, pp. 1757-1761, Dec 2006 doi

  • Y. L. Chen et al. Experimental Realization of a Three-Dimensional Topological Insulator, Bi 2Te 3Bi_2 Te_3, Science 325, no. 5937 pp. 178-181, July 2009, doi

Comment by X.-G. Wen: In fact, none of the above materials have quantum spin Hall effect since the spin is not conserved due to the spin-orbital interaction that makes those materials non trivial.

  • Ricardo Kennedy, Charles Guggenheim, Homotopy theory of strong and weak topological insulators, arxiv/1409.2529

  • L. Wu et al. Quantized Faraday and Kerr rotation and axion electrodynamics of a 3D topological insulator, Science (2016). doi

Discussion via AdS/CFT in solid state physics:

  • Georgios Linardopoulos, Modelling Topological Materials with D-branes, INPP Annual Meeting 2017 (pdf, pdf)

Experimental realization

  • Bo Song, Long Zhang, Chengdong He, Ting Fung Jeffrey Poon, Elnur Hajiyev, Shanchao Zhang, Xiong-Jun Liu, Gyu-Boong Jo, Observation of symmetry-protected topological band with ultracold fermions, Science Advances 4 eaao4748 (2018) [[doi:10.1126/sciadv.aao4748]]

External manipulation of topological phases:

  • Marwa Mannaï, Sonia Haddad, Strain tuned topology in the Haldane and the modified Haldane models., J of Physics: Condens. Matter 32 225501 (2020) [[arXiv:1907.11213, doi:10.1088/1361-648X/ab73a1]]

  • Marwa Mannaï, Sonia Haddad, Twistronics versus straintronics in twisted bilayers of graphene and transition metal dichalcogenides, Phys. Rev. B 103 201112 (2021) [[arXiv:2011.08818, doi:10.1103/PhysRevB.103.L121112]]

  • Jiesen Li, Wanxing Lin, D. X. Yao, Strain-induced topological phase transition in two-dimensional platinum ditelluride [[arXiv:2106.16212]]

  • T. Kondo et al., Visualization of the strain-induced topological phase transition in a quasi-one-dimensional superconductor TaSe 3TaSe_3, Nature Materials 20 1093–1099 (2021) [[doi:10.1038/s41563-021-01004-4]]

  • Phil D. C. King, Controlling topology with strain, Nat. Mater. 20 (2021) 1046–1047 [[doi:10.1038/s41563-021-01043-x]]

category: physics

Last revised on May 18, 2022 at 06:33:33. See the history of this page for a list of all contributions to it.