Warping the cone on a Topological Insulator
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The energy-momentum relationship of electrons on the surface of an ideal topological insulator forms a cone, which, when warped, can lead to unusual phenomena such as enhanced interference around defects and a magnetically ordered exotic surface.
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Three-dimensional topological insulators are nonmagnetic insulators with novel surface states that are a consequence of the nontrivial topology of electronic wavefunctions in the bulk.
“Topological insulators (TIs) in three dimensions are nonmagnetic insulators with novel surface states (SSs) that are a consequence of the nontrivial topology of electronic wavefunctions in the bulk of the materials ( 1-5 ).”
From Topological Phase Transition and Texture Inversion in a Tunable Topological Insulator (2011) · cites this paper as [5]
This hexagonal anisotropy makes the surface susceptible to spin-fluctuation or magnetic instabilities.
“a deformation that makes the surface susceptible to spin-fluctuation or magnetic instabilities 21 .”
From Observation of topological order in a superconducting doped topological insulator (2010) · cites this paper as [21]
Recent observations of superconductivity in Cu_xBi2Se3 (Tc=3.8K) by Hor et al. have raised interest in understanding the role of spontaneously broken symmetry within a topological band-structure.
“Recent observations of superconductivity in Cu x Bi 2 Se 3 (T c = 3.8K) by Hor et.al., (39) have raised interest in understanding the role of spontaneously broken symmetry within a topological band-structure.”
From Three-Dimensional Topological Insulators (2011) · cites this paper as [39]
The spin-splitting of topological surface bands is often described as a special case of the Rashba effect, where surface states become spin-split by an energy proportional to momentum k.
“The spin-splitting of topological surface bands is often discussed as a special case of the Rashba effect (see, for example, refs 3,20), in which surface electronic states become spin-split by an energy proportional to their momentum k.”
From A topological insulator surface under strong Coulomb, magnetic and disorder perturbations (2011) · cites this paper as [20]
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Cites
Observation of a large-gap topological-insulator class with a single Dirac cone on the surface
Xia, Y., Qian, D., Hsieh, D., Wray, L., Pal, A., Lin, H., Bansil, A., Grauer, D., Hor, Y. S., Cava, R. J., et al. (2009) · Nature Physics · doi:10.1038/nphys1274 · Cited by 3,765 · see citing works
Self-citationTopological surface states protected from backscattering by chiral spin texture
Roushan, P., Seo, J., Parker, C. V., Hor, Y. S., Hsieh, D., Qian, D., Richardella, A., Hasan, M. Z., Cava, R. J., & Yazdani, A. (2009) · Nature · doi:10.1038/nature08308 · Cited by 1,052 · see citing works
Self-citationXia, Y., Qian, D., Hsieh, D., Shankar, R., Lin, H.-F., Bansil, A., Fedorov, A. V., Grauer, D. C., Hor, Y. S., Cava, R. J., et al. (2009) · arXiv (Cornell University) · doi:10.48550/arxiv.0907.3089 · Cited by 12 · see citing works
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Cited by
Sorted by citations
<i>Colloquium</i> : Topological insulators
Hasan, M. Z., & Kane, C. L. (2010) · Reviews of Modern Physics · doi:10.1103/revmodphys.82.3045 · Cited by 19,930 · see citing works
Self-citation<i>Colloquium</i> : Topological band theory
Bansil, A., Lin, H., & Das, T. (2016) · Reviews of Modern Physics · doi:10.1103/revmodphys.88.021004 · Cited by 1,587 · see citing works
Self-citationObservation of topological order in a superconducting doped topological insulator
Wray, L. A., Xu, S.-Y., Xia, Y., Hor, Y. S., Qian, D., Fedorov, A. V., Lin, H., Bansil, A., Cava, R. J., & Hasan, M. Z. (2010) · Nature Physics · doi:10.1038/nphys1762 · Cited by 464 · see citing works
Self-citationTopological Phase Transition and Texture Inversion in a Tunable Topological Insulator
Xu, S.-Y., Xia, Y., Wray, L. A., Jia, S., Meier, F., Dil, J. H., Osterwalder, J., Slomski, B., Bansil, A., Lin, H., et al. (2011) · Science · doi:10.1126/science.1201607 · Cited by 461 · see citing works
Self-citation
- Authors
- Hasan, M., Lin, H., & Bansil, A.
- Affiliations
- Princeton University (US)
- Northeastern University (US)
- Venue
- Physics
- Publisher
- American Physical Society (APS)
- Published
- 2009-12-21
- Volume
- 2
- ISSN
- 1943-2879 (ISSN-L)
- OpenAlex
- W2071262565
- Cited by
- 27
- References
- 3
- Citations by year
- 2025: 1 · 2023: 2 · 2018: 1 · 2016: 2 · 2015: 2 · 2014: 4 · 2013: 1 · 2012: 1
- FWCI
- 2.60
- Type
- journal article
- Language
- en
- Open access
- bronze
- doi.org
- Locations
- Physics (publishedVersion)
- arXiv (Cornell University) (submittedVersion)
- arXiv (Cornell University)
- Topics
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Topological Materials and Phenomena
- Physical Sciences › Physics and Astronomy › Condensed Matter Physics › Advanced Condensed Matter Physics
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Surface and Thin Film Phenomena
- Keywords
- topological insulators, surface states, energy-momentum dispersion, electron interference, defects, Dirac cones
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