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Bulk and Boundary Invariants for Complex Topological Insulators: From K-Theory to Physics
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“Second, in even numbers of spatial dimensions, such as four dimensions, new types of quantum Hall effect can emerge that are intrinsically associated with that higher dimensionality (Meng, 2003;Prodan and Schulz-Baldes, 2016).”
From Topological photonics (2019) · cites this paper as Prodan and Schulz-Baldes, 2016
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Two-dimensional gas of massless Dirac fermions in graphene
Novoselov, K. S., Geim, A. K., Morozov, S. V., Jiang, D., Katsnelson, M. I., Grigorieva, I. V., Dubonos, S. V., & Firsov, A. A. (2005) · Nature · doi:10.1038/nature04233 · Cited by 21,611
Topological insulators and superconductors
Qi, X.-L., & Zhang, S.-C. (2011) · Reviews of Modern Physics · doi:10.1103/revmodphys.83.1057 · Cited by 14,394
Experimental observation of the quantum Hall effect and Berry's phase in graphene
Zhang, Y., Tan, Y.-W., Stormer, H. L., & Kim, P. (2005) · Nature · doi:10.1038/nature04235 · Cited by 13,435
Quantum Spin Hall Insulator State in HgTe Quantum Wells
König, M., Wiedmann, S., Brüne, C., Roth, A., Buhmann, H., Molenkamp, L. W., Qi, X.-L., & Zhang, S.-C. (2007) · Science · doi:10.1126/science.1148047 · Cited by 6,151
Topological Insulators in Three Dimensions
Fu, L., Kane, C. L., & Mele, E. J. (2007) · Physical Review Letters · doi:10.1103/physrevlett.98.106803 · Cited by 4,651
A topological Dirac insulator in a quantum spin Hall phase
Hsieh, D., Qian, D., Wray, L., Xia, Y., Hor, Y. S., Cava, R. J., & Hasan, M. Z. (2008) · Nature · doi:10.1038/nature06843 · Cited by 3,523
Photonic Floquet topological insulators
Rechtsman, M. C., Zeuner, J. M., Plotnik, Y., Lumer, Y., Podolsky, D., Dreisow, F., Nolte, S., Segev, M., & Szameit, A. (2013) · Nature · doi:10.1038/nature12066 · Cited by 3,332
Observation of unidirectional backscattering-immune topological electromagnetic states
Wang, Z., Chong, Y., Joannopoulos, J. D., & Soljačić, M. (2009) · Nature · doi:10.1038/nature08293 · Cited by 3,123
Halperin, B. I. (1982) · Physical Review B · doi:10.1103/physrevb.25.2185 · Cited by 2,547
Topological Insulator Materials
Ando, Y. (2013) · Journal of the Physical Society of Japan · doi:10.7566/jpsj.82.102001 · Cited by 1,789
Research works printed but not linked: 42
- A. Altland, D. Bagrets, L. Fritz, A. Kamenev, H. Schmiedt, Quantum criticality of quasi one- dimensional topological Anderson insulators, Phys. Rev. Lett. 112, 206602 (2014).
- A. Altland, D. Bagrets, A. Kamenev, Topology versus Anderson localization: non-perturbative solutions in one dimension, Phys. Rev. B 91, 085429 (2015).
- A. Alexandradinata, C. Fang, M. J. Gilbert, B. A. Bernevig, Spin-Orbit-Free Topological In- sulators without Time-Reversal Symmetry, Phys. Rev. Lett. 113, 116403 (2014).
- A. Andersson, Index pairings for R n -actions and Rieffel deformations, arXiv:1406.4078, preprint (2014). · arXiv
- M. F. Atiyah, Global theory of elliptic operators, Proc. Internat. Symp. on Functional Analysis, pp. 21-30, Univ. of Tokyo Press, Tokyo, (1969).
- D. Baeriswyl, D. K. Campbell, S. Mazumdar, An overview of the theory of π-conjugated polymers, in M. Cardona, P. Fulde, K. von Klitzing, H.-J. Queisser, editors, Springer Series in Solid-State Sciences 102, 7-133, (Springer-Verlag, Berlin, 1992).
- L. Bao, W. Wang1, N. Meyer, Y. Liu, C. Zhang, K. Wang, P. Ai, F. Xiu, Quantum Corrections Crossover and Ferromagnetism in Magnetic Topological Insulators, Sci. Rep. 3, 2391 (2013).
- J. Bellissard, K-theory of C * -algebras in solid state physics, in T. Dorlas, M. Hugenholtz, M. Winnink, editors, Lecture Notes in Physics 257, 99-156, (Springer-Verlag, Berlin, 1986).
- J. Bellissard, Ordinary quantum Hall effect and non-commutative cohomology, in Proc. of the Bad Schandau Conference on Localization, 1986, Eds. W. Ziesche & P. Weller, Teubner Texte Phys. 16, (Teubner-Verlag, Leipzig, 1988). References
- J. Bellissard, H. Schulz-Baldes, Scattering theory for lattice operators in dimension d ≥ 3, Rev. Math. Phys. 24, 1250020 (2012).
- M. T. Benameur, A. L. Carey, J. Phillips, A. Rennie, F. A. Sukochev, K. P. Wojciechowski, An analytic approach to spectral flow in von Neumann algebras, pp. 297-352, in: Analysis, Geometry and Topology of Elliptic Operators (World Scientific, Singapure, 2006).
- M. T. Benameur, V. Mathai, Gap-labelling conjecture with nonzero magnetic field, arXiv:1508.01064, preprint 2015. · arXiv
- B. A. Bernevig, Topological insulators and topological superconductors, (Princeton University Press, Princeton, NJ, 2013).
- G. D. Birkhoff, Proof of the ergodic theorem, Proc. Natl. Acad. Sci. USA 17, 656-660 (1931).
- B. Blackadar, K-theory for operator algebras, volume 5 of Mathematical Sciences Research Institute Publications, (Cambridge Univ. Press, Cambridge, 1998).
- B. Blackadar, Operator Algebras: Theory of C * -Algebras and von Neumann Algebras, (Springer, Berlin, 2006).
- C. Bourne, Topological states of matter and noncommutative geometry, PhD Thesis, Aus- tralian National University (2015).
- M. Brahlek, N. Koirala, M. Salehi, N. Bansal, S. Oh, Emergence of decoupled surface trans- port channels in bulk insulating Bi2Se3 thin films, Phys. Rev. Lett. 113, 026801 (2014).
- A. P. Calderón, The analytic calculation of the index of elliptic equations, Proc. National Academy of Sciences USA 57, 1193-1196 (1967).
- A. L. Carey, J. Phillips, A. Rennie, Spectral Triples: Examples and Index Theory, in Alan Carey (ed.) Noncommutative Geometry and Physics: Renormalisation, Motives, Index Theory pp. 175-265, (EMS, Zurich 2011).
- A. L. Carey, J. Phillips, A. Rennie, Twisted cyclic theory and an index theory for the gauge invariant KMS state on Cuntz algebras O n , Journal of K-theory 6, 339-380 (2010).
- A. Connes, Noncommutative Geometry, (Academic Press, San Diego, CA, 1994).
- A. Connes, Sur la théorie non commutative de l'intégration, Algébres d'opérateurs, in Lecture Notes in Math., Vol. 725 (Springer, Berlin, 1978)
- H. L. Cycon, R. G. Froese, W. Kirsch, B. Simon, Schrödinger operators: With application to quantum mechanics and global geometry, 2nd Edition, (Springer, Heidelberg, 2009).
- G. De Nittis, M. Lein, Topological polarization in graphene-like systems, J. Phys. A: Mathe- matical and Theoretical 46, 385001 (2013).
- A. M. Essin, V. Gurarie, Bulk-boundary correspondence of topological insulators from their Green's functions, Phys. Rev. B 84, 125132 (2011).
- B. V. Fedosov, Analytic formulas for the index of elliptic operators, Trans. Mosc. Math. Soc. 30, 159-240 (1974).
- M. Franz, L. Molenkamp, editors, Topological insulators, (Elsevier, Oxford, UK, 2013).
- L. Fu, Topological crystalline insulators, Phys. Rev. Lett. 106, 106802 (2011).
- L. Fu, C. L. Kane, Topological insulators with inversion symmetry, Phys. Rev. B 76, 045302 (2007).
- J. M. Gracia-Bondia, J. C. Várilly, H. Figueroa, Elements of noncommutative geometry, (Springer, Berlin, 2001).
- J. Grossmann, H. Schulz-Baldes, Index pairings in presence of symmetries with applications to topological insulators, arXiv:1503.04834, Commun. Math. Phys. online first. · arXiv
- V. Gurarie, Single particle Green's functions and interacting topological insulators, Phys. Rev. B 83, 085426 (2011).
- F. D. M. Haldane, S. Raghu, Possible realization of directional optical waveguides in pho- tonic crystals with broken time-reversal symmetry, Phys. Rev. Lett. 100, 013904 (2008).
- M. B. Hastings, T. A. Loring, Topological insulators and C * -algebras: Theory and numerical practice, Annals of Physics 326, 1699-1759 (2011).
- B. Helffer and J. Sjostrand, Equation de Schrödinger avec Champ Magnetique et Equation de Harper in: Lecture Notes in Physics Vol. 345, 118-197 (Springer, Berlin, 1989).
- T. L. Hughes, E. Prodan, B. A. Bernevig, Inversion-symmetric topological insulators, Phys. Rev. B 83, 245132 (2011).
- K.-I. Imura, Y. Takane, A. Tanaka, Weak topological insulator with protected gapless helical states, Phys. Rev. B 84, 035443 (2011).
- K.-H. Jin, S.-H. Jhi, Quantum anomalous Hall and quantum spin-Hall phases in flattened Bi and Sb bilayers, Sci. Rep. 5, 8426 (2015).
- G. Jotzu, M. Messer, R. Desbuquois, M. Lebrat, T. Uehlinger, D. Greif, T. Esslinger, Experi- mental realization of the topological Haldane model with ultracold fermions, Nature 515, 237 (2014).
- A. Kandala, A. Richardella, D. W. Rench, D. M. Zhang, T. C. Flanagan, N. Samarth, Growth and characterization of hybrid insulating ferromagnet-topological insulator heterostructure de- vices, Appl. Phys. Lett. 103, 202409 (2013).
- V. Mathai, G. C. Thiang, T-duality trivializes bulk-boundary correspondence, arXiv:1505.05250, preprint 2015. 138. · arXiv
Cited by
Sorted by citations
Ozawa, T., Price, H. M., Amo, A., Goldman, N., Hafezi, M., Lu, L., Rechtsman, M. C., Schuster, D., Simon, J., Zilberberg, O., et al. (2019) · Reviews of Modern Physics · doi:10.1103/revmodphys.91.015006 · Cited by 3,722
Metadata
- Authors
- Prodan, E., & Schulz-Baldes, H.
- Venue
- Mathematical Physics Studies
- Publisher
- Springer International Publishing
- Published
- 2016
- ISSN
- 0921-3767
- 2352-3905
- Cited by
- 242
- References
- 17
- Language
- en
- Licence
- www.springer.com/tdm (tdm)
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