Abstract
The study of topological order, particularly in the context of the band theory of solids, is a blossoming field that has returned to the forefront of condensed matter physics within the past 10 years. Several fascinating classes of recently discovered topological materials, including topological insulators (TIs) and topological crystalline insulators (TCIs), display very rich physics. These materials are host to topologically protected metallic surface states that are manifest as chiral Dirac fermion quasiparticles. As such, the surfaces of these crystals have and continue to be fruitful environments for studying a variety of interesting phenomena including axion dynamics, proximity induced superconductivity, and Majorana fermions.
This is a preview of subscription content, log in via an institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsReferences
L. Landau, On the theory of phase transitions, in em collected papers of L.D. Landau, ed. by D. Ter Haar (Pergamon, London, 1965), pp. 193–216
K.V. Klitzing, G. Dorda, M. Pepper, New method for high-accuracy determination of the fine-structure constant based on quantized hall resistance. Phys. Rev. Lett. 45, 494–497 (1980)
D.C. Tsui, H.L. Stormer, A.C. Gossard, Two-dimensional magnetotransport in the extreme quantum limit. Phys. Rev. Lett. 48, 1559–1562 (1982)
D.J. Thouless, M. Kohmoto, M.P. Nightingale, M. den Nijs, Quantized hall conductance in a two-dimensional periodic potential. Phys. Rev. Lett. 49, 405–408 (1982)
B.I. Halperin, Quantized hall conductance, current-carrying edge states, and the existence of extended states in a two-dimensional disordered potential. Phys. Rev. B 25, 2185–2190 (1982)
M.Z. Hasan, C.L. Kane, Colloquium. Rev. Mod. Phys. 82, 3045–3067 (2010)
R. Jackiw, C. Rebbi, Solitons with fermion number 1/2. Phys. Rev. D 13, 3398–3409 (1976)
W.P. Su, J.R. Schrieffer, A.J. Heeger, Solitons in polyacetylene. Phys. Rev. Lett. 42, 1698–1701 (1979)
S. Murakami, N. Nagaosa, S.-C. Zhang, Dissipationless quantum spin current at room temperature. Science 301 (5638), 1348–1351 (2003)
S. Murakami, Quantum spin hall effect and enhanced magnetic response by spin-orbit coupling. Phys. Rev. Lett. 97, 236805 (2006)
C.L. Kane, E.J. Mele, Quantum spin hall effect in graphene. Phys. Rev. Lett. 95, 226801 (2005)
B.A. Bernevig, S.-C. Zhang, Quantum spin hall effect. Phys. Rev. Lett. 96, 106802 (2006)
B.A. Bernevig, T.L. Hughes, S.-C. Zhang, Quantum spin hall effect and topological phase transition in HgTe quantum wells. Science 314 (5806), 1757–1761 (2006)
M. König, S. Wiedmann, C. Brüne, A. Roth, H. Buhmann, L.W. Molenkamp, X.-L. Qi, S.-C. Zhang, Quantum spin hall insulator state in HgTe quantum wells. Science 318 (5851), 766–770 (2007)
L. Fu, C.L. Kane, E.J. Mele, Topological insulators in three dimensions. Phys. Rev. Lett. 98, 106803 (2007)
J.E. Moore, L. Balents, Topological invariants of time-reversal-invariant band structures. Phys. Rev. B 75, 121306 (2007)
R. Roy, Topological phases and the quantum spin hall effect in three dimensions. Phys. Rev. B 79, 195322 (2009)
L. Fu, C.L. Kane, Topological insulators with inversion symmetry. Phys. Rev. B 76, 045302 (2007)
Y. Xia, D. Qian, D. Hsieh, L. Wray, A. Pal, H. Lin, A. Bansil, D. Grauer, Y.S. Hor, R.J. Cava, M.Z. Hasan, Observation of a large-gap topological-insulator class with a single Dirac cone on the surface. Nat. Phys. 5 (6), 398–402, 06 (2009)
Y.L. Chen, J.G. Analytis, J.-H. Chu, Z.K. Liu, S.-K. Mo, X.L. Qi, H.J. Zhang, D.H. Lu, X. Dai, Z. Fang, S.C. Zhang, I.R. Fisher, Z. Hussain, Z.-X. Shen, Experimental realization of a three-dimensional topological insulator, Bi2Te3. Science 325 (5937), 178–181 (2009)
D. Hsieh, D. Qian, L. Wray, Y. Xia, Y.S. Hor, R.J. Cava, M.Z. Hasan, A topological Dirac insulator in a quantum spin hall phase. Nature 452 (7190), 970–974, 04 (2008)
Y.S. Hor, A. Richardella, P. Roushan, Y. Xia, J.G. Checkelsky, A. Yazdani, M.Z. Hasan, N.P. Ong, R.J. Cava, p-type Bi2Se3 for topological insulator and low-temperature thermoelectric applications. Phys. Rev. B 79, 195208 (2009)
D. Hsieh, Y. Xia, D. Qian, L. Wray, J.H. Dil, F. Meier, J. Osterwalder, L. Patthey, J.G. Checkelsky, N.P. Ong, A.V. Fedorov, H. Lin, A. Bansil, D. Grauer, Y.S. Hor, R.J. Cava, M.Z. Hasan, A tunable topological insulator in the spin helical Dirac transport regime. Nature 460 (7259), 1101–1105, 08 (2009)
S.R. Park, W.S. Jung, C. Kim, D.J. Song, C. Kim, S. Kimura, K.D. Lee, N. Hur, Quasiparticle scattering and the protected nature of the topological states in a parent topological insulator Bi2Se3. Phys. Rev. B 81, 041405 (2010)
Y. Xia, D. Qian, D. Hsieh, R. Shankar, H. Lin, A. Bansil, A.V. Fedorov, D. Grauer, Y.S. Hor, R.J. Cava, M.Z. Hasan, Topological control: systematic control of topological insulator Dirac fermion density on the surface of Bi2Te3. arXiv, e-prints, July (2009)
D. Hsieh, Y. Xia, D. Qian, L. Wray, F. Meier, J.H. Dil, J. Osterwalder, L. Patthey, A.V. Fedorov, H. Lin, A. Bansil, D. Grauer, Y.S. Hor, R.J. Cava, M.Z. Hasan, Observation of time-reversal-protected single-Dirac-cone topological-insulator states in Bi2Te3 and Sb2Te3. Phys. Rev. Lett. 103, 146401 (2009)
L. Fu, Topological crystalline insulators. Phys. Rev. Lett. 106, 106802 (2011)
Y.J. Wang, W.-F. Tsai, H. Lin, S.-Y. Xu, M. Neupane, M.Z. Hasan, A. Bansil, Nontrivial spin texture of the coaxial Dirac cones on the surface of topological crystalline insulator SnTe. Phys. Rev. B 87, 235317 (2013)
Author information
Authors and Affiliations
Rights and permissions
Copyright information
© 2016 Springer International Publishing Switzerland
About this chapter
Cite this chapter
Howard, C. (2016). Introduction. In: Measuring, Interpreting and Translating Electron Quasiparticle - Phonon Interactions on the Surfaces of the Topological Insulators Bismuth Selenide and Bismuth Telluride. Springer Theses. Springer, Cham. https://doi.org/10.1007/978-3-319-44723-0_1
Download citation
DOI: https://doi.org/10.1007/978-3-319-44723-0_1
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-44722-3
Online ISBN: 978-3-319-44723-0
eBook Packages: Physics and AstronomyPhysics and Astronomy (R0)