Mapping the unconventional orbital texture in topological crystalline insulators
Abstract
The newly discovered topological crystalline insulators feature a complex band structure involving multiple Dirac cones, and are potentially highly tunable by external electric field, temperature or strain. Theoretically, it has been predicted that the various Dirac cones, which are offset in energy and momentum, might harbour vastly different orbital character. However, their orbital texture, which is of immense importance in determining a variety of a material’s properties remains elusive. Here, we unveil the orbital texture of Pb1–xSnxSe, a prototypical topological crystalline insulator. By using Fourier-transform scanning tunnelling spectroscopy we measure the interference patterns produced by the scattering of surface-state electrons. We discover that the intensity and energy dependences of the Fourier transforms show distinct characteristics, which can be directly attributed to orbital effects. Here, our experiments reveal a complex band topology involving two Lifshitz transitions and establish the orbital nature of the Dirac bands, which could provide an alternative pathway towards future quantum applications.
- Authors:
-
- Boston College, Chestnut Hill, MA (United States)
- Boston College, Chestnut Hill, MA (United States); Tohoku Univ., Sendai (Japan)
- National Sun Yat-sen Univ., Kaohsiung (Taiwan)
- National Taiwan Univ., Taipei (Taiwan)
- Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States)
- National Univ. of Singapore (Singapore)
- Princeton Univ., Princeton, NJ (United States)
- Publication Date:
- Research Org.:
- Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC), Basic Energy Sciences (BES)
- OSTI Identifier:
- 1557723
- Grant/Contract Number:
- SC0010526
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Nature Physics
- Additional Journal Information:
- Journal Volume: 10; Journal Issue: 8; Journal ID: ISSN 1745-2473
- Publisher:
- Nature Publishing Group (NPG)
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY
Citation Formats
Zeljkovic, Ilija, Okada, Yoshinori, Huang, Cheng -Yi, Sankar, R., Walkup, Daniel, Zhou, Wenwen, Serbyn, Maksym, Chou, Fangcheng, Tsai, Wei -Feng, Lin, Hsin, Bansil, A., Fu, Liang, Hasan, M. Zahid, and Madhavan, Vidya. Mapping the unconventional orbital texture in topological crystalline insulators. United States: N. p., 2014.
Web. doi:10.1038/NPHYS3012.
Zeljkovic, Ilija, Okada, Yoshinori, Huang, Cheng -Yi, Sankar, R., Walkup, Daniel, Zhou, Wenwen, Serbyn, Maksym, Chou, Fangcheng, Tsai, Wei -Feng, Lin, Hsin, Bansil, A., Fu, Liang, Hasan, M. Zahid, & Madhavan, Vidya. Mapping the unconventional orbital texture in topological crystalline insulators. United States. https://doi.org/10.1038/NPHYS3012
Zeljkovic, Ilija, Okada, Yoshinori, Huang, Cheng -Yi, Sankar, R., Walkup, Daniel, Zhou, Wenwen, Serbyn, Maksym, Chou, Fangcheng, Tsai, Wei -Feng, Lin, Hsin, Bansil, A., Fu, Liang, Hasan, M. Zahid, and Madhavan, Vidya. Sun .
"Mapping the unconventional orbital texture in topological crystalline insulators". United States. https://doi.org/10.1038/NPHYS3012. https://www.osti.gov/servlets/purl/1557723.
@article{osti_1557723,
title = {Mapping the unconventional orbital texture in topological crystalline insulators},
author = {Zeljkovic, Ilija and Okada, Yoshinori and Huang, Cheng -Yi and Sankar, R. and Walkup, Daniel and Zhou, Wenwen and Serbyn, Maksym and Chou, Fangcheng and Tsai, Wei -Feng and Lin, Hsin and Bansil, A. and Fu, Liang and Hasan, M. Zahid and Madhavan, Vidya},
abstractNote = {The newly discovered topological crystalline insulators feature a complex band structure involving multiple Dirac cones, and are potentially highly tunable by external electric field, temperature or strain. Theoretically, it has been predicted that the various Dirac cones, which are offset in energy and momentum, might harbour vastly different orbital character. However, their orbital texture, which is of immense importance in determining a variety of a material’s properties remains elusive. Here, we unveil the orbital texture of Pb1–xSnxSe, a prototypical topological crystalline insulator. By using Fourier-transform scanning tunnelling spectroscopy we measure the interference patterns produced by the scattering of surface-state electrons. We discover that the intensity and energy dependences of the Fourier transforms show distinct characteristics, which can be directly attributed to orbital effects. Here, our experiments reveal a complex band topology involving two Lifshitz transitions and establish the orbital nature of the Dirac bands, which could provide an alternative pathway towards future quantum applications.},
doi = {10.1038/NPHYS3012},
journal = {Nature Physics},
number = 8,
volume = 10,
place = {United States},
year = {Sun Jul 13 00:00:00 EDT 2014},
month = {Sun Jul 13 00:00:00 EDT 2014}
}
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Works referenced in this record:
Observation of a topological crystalline insulator phase and topological phase transition in Pb1−xSnxTe
journal, January 2012
- Xu, Su-Yang; Liu, Chang; Alidoust, N.
- Nature Communications, Vol. 3, Issue 1
Observation of Dirac Node Formation and Mass Acquisition in a Topological Crystalline Insulator
journal, August 2013
- Okada, Y.; Serbyn, M.; Lin, H.
- Science, Vol. 341, Issue 6153
Topological insulators and superconductors
journal, October 2011
- Qi, Xiao-Liang; Zhang, Shou-Cheng
- Reviews of Modern Physics, Vol. 83, Issue 4
Imaging Quasiparticle Interference in Bi2Sr2CaCu2O8+δ
journal, July 2002
- Hoffman, J. E.; McElroy, K.; Lee, D.-H.
- Science, Vol. 297, Issue 5584, p. 1148-1151
Nontrivial spin texture of the coaxial Dirac cones on the surface of topological crystalline insulator SnTe
journal, June 2013
- Wang, Yung Jui; Tsai, Wei-Feng; Lin, Hsin
- Physical Review B, Vol. 87, Issue 23
Band Edge Structure of PbS, PbSe, and PbTe
journal, August 1964
- Dimmock, John O.; Wright, George B.
- Physical Review, Vol. 135, Issue 3A
Ferro-Orbital Order and Strong Magnetic Anisotropy in the Parent Compounds of Iron-Pnictide Superconductors
journal, December 2009
- Lee, Chi-Cheng; Yin, Wei-Guo; Ku, Wei
- Physical Review Letters, Vol. 103, Issue 26
Colloquium: Topological insulators
journal, November 2010
- Hasan, M. Z.; Kane, C. L.
- Reviews of Modern Physics, Vol. 82, Issue 4, p. 3045-3067
Mapping the orbital wavefunction of the surface states in three-dimensional topological insulators
journal, July 2013
- Cao, Yue; Waugh, J. A.; Zhang, X-W.
- Nature Physics, Vol. 9, Issue 8
Experimental Realization of a Three-Dimensional Topological Insulator, Bi2Te3
journal, June 2009
- Chen, Y. L.; Analytis, J. G.; Chu, J.-H.
- Science, Vol. 325, Issue 5937, p. 178-181
Observation of a large-gap topological-insulator class with a single Dirac cone on the surface
journal, May 2009
- Xia, Y.; Qian, D.; Hsieh, D.
- Nature Physics, Vol. 5, Issue 6, p. 398-402
Experimental realization of a topological crystalline insulator in SnTe
journal, September 2012
- Tanaka, Y.; Ren, Zhi; Sato, T.
- Nature Physics, Vol. 8, Issue 11
Topological Crystalline Insulators
journal, March 2011
- Fu, Liang
- Physical Review Letters, Vol. 106, Issue 10
Topological Insulators in Three Dimensions
journal, March 2007
- Fu, Liang; Kane, C. L.; Mele, E. J.
- Physical Review Letters, Vol. 98, Issue 10, Article No. 106803
Topological crystalline insulator states in Pb1−xSnxSe
journal, September 2012
- Dziawa, P.; Kowalski, B. J.; Dybko, K.
- Nature Materials, Vol. 11, Issue 12
Quasiparticle interference on the surface of the topological crystalline insulator Pb Sn Se
journal, September 2013
- Gyenis, A.; Drozdov, I. K.; Nadj-Perge, S.
- Physical Review B, Vol. 88, Issue 12
Topological crystalline insulators in the SnTe material class
journal, January 2012
- Hsieh, Timothy H.; Lin, Hsin; Liu, Junwei
- Nature Communications, Vol. 3, Article No. 982
Two types of surface states in topological crystalline insulators
journal, December 2013
- Liu, Junwei; Duan, Wenhui; Fu, Liang
- Physical Review B, Vol. 88, Issue 24
The space group classification of topological band-insulators
journal, December 2012
- Slager, Robert-Jan; Mesaros, Andrej; Juričić, Vladimir
- Nature Physics, Vol. 9, Issue 2
Spin-orbital frustrations and anomalous metallic state in iron-pnictide superconductors
journal, February 2009
- Krüger, Frank; Kumar, Sanjeev; Zaanen, Jan
- Physical Review B, Vol. 79, Issue 5
Tunability of the -space location of the Dirac cones in the topological crystalline insulator Pb Sn Te
journal, April 2013
- Tanaka, Y.; Sato, T.; Nakayama, K.
- Physical Review B, Vol. 87, Issue 15
Imaging Cooper pairing of heavy fermions in CeCoIn5
journal, July 2013
- Allan, M. P.; Massee, F.; Morr, D. K.
- Nature Physics, Vol. 9, Issue 8
Direct Observation of Broken Time-Reversal Symmetry on the Surface of a Magnetically Doped Topological Insulator
journal, May 2011
- Okada, Yoshinori; Dhital, Chetan; Zhou, Wenwen
- Physical Review Letters, Vol. 106, Issue 20
Intra-unit-cell electronic nematicity of the high-Tc copper-oxide pseudogap states
journal, July 2010
- Lawler, M. J.; Fujita, K.; Lee, Jhinhwan
- Nature, Vol. 466, Issue 7304
A tunable topological insulator in the spin helical Dirac transport regime
journal, July 2009
- Hsieh, D.; Xia, Y.; Qian, D.
- Nature, Vol. 460, Issue 7259
Transmission of topological surface states through surface barriers
journal, July 2010
- Seo, Jungpil; Roushan, Pedram; Beidenkopf, Haim
- Nature, Vol. 466, Issue 7304, p. 343-346
Visualizing nodal heavy fermion superconductivity in CeCoIn5
journal, July 2013
- Zhou, Brian B.; Misra, Shashank; da Silva Neto, Eduardo H.
- Nature Physics, Vol. 9, Issue 8
Orbital Physics in Transition-Metal Oxides
journal, April 2000
- Tokura, Y.
- Science, Vol. 288, Issue 5465
Ripple-modulated electronic structure of a 3D topological insulator
journal, January 2012
- Okada, Yoshinori; Zhou, Wenwen; Walkup, D.
- Nature Communications, Vol. 3, Issue 1
A tunable topological insulator in the spin helical Dirac transport regime
text, January 2009
- D., Hsieh,; Y., Xia,; D., Qian,
- Nature Publishing Group
Observation of a topological crystalline insulator phase and topological phase transition in Pb1−xSnxTe
text, January 2012
- Xu, Su-Yang; Liu, Chang; Alidoust, N.
- Nature Publishing Group
Transmission of topological surface states through surface barriers
text, January 2010
- Seo, Jungpil; Roushan, Pedram; Beidenkopf, Haim
- arXiv
Topological crystalline insulator states in Pb(1-x)Sn(x)Se
text, January 2012
- Dziawa, P.; Kowalski, B. J.; Dybko, K.
- arXiv
Experimental realization of a topological crystalline insulator in SnTe
text, January 2012
- Tanaka, Y.; Ren, Zhi; Sato, T.
- arXiv
The space group classification of topological band insulators
text, January 2012
- Slager, Robert-Jan; Mesaros, Andrej; Juricic, Vladimir
- arXiv
Imaging Quasiparticle Interference in Bi2Sr2CaCu2O8+d
text, January 2002
- Hoffman, J. E.; McElroy, K.; Lee, D. -H.
- arXiv
Topological Insulators in Three Dimensions
text, January 2006
- Fu, Liang; Kane, C. L.; Mele, E. J.
- arXiv
Works referencing / citing this record:
Quasiparticle Interference Studies of Quantum Materials
journal, June 2018
- Avraham, Nurit; Reiner, Jonathan; Kumar-Nayak, Abhay
- Advanced Materials, Vol. 30, Issue 41
Superconductivity of Topological Surface States and Strong Proximity Effect in Sn 1− x Pb x Te–Pb Heterostructures
journal, November 2019
- Yang, Hao; Li, Yao‐Yi; Liu, Teng‐Teng
- Advanced Materials, Vol. 31, Issue 52
Length Scale and Dimensionality of Defects in Epitaxial SnTe Topological Crystalline Insulator Films
journal, January 2017
- Dagdeviren, Omur E.; Zhou, Chao; Zou, Ke
- Advanced Materials Interfaces, Vol. 4, Issue 2
Tailoring of Electronic Structure and Thermoelectric Properties of a Topological Crystalline Insulator by Chemical Doping
journal, October 2015
- Roychowdhury, Subhajit; Shenoy, U. Sandhya; Waghmare, Umesh V.
- Angewandte Chemie, Vol. 127, Issue 50
Spin-texture inversion in the giant Rashba semiconductor BiTeI
journal, May 2016
- Maaß, Henriette; Bentmann, Hendrik; Seibel, Christoph
- Nature Communications, Vol. 7, Issue 1
Dirac mass generation from crystal symmetry breaking on the surfaces of topological crystalline insulators
journal, February 2015
- Zeljkovic, Ilija; Okada, Yoshinori; Serbyn, Maksym
- Nature Materials, Vol. 14, Issue 3
Strain engineering Dirac surface states in heteroepitaxial topological crystalline insulator thin films
journal, August 2015
- Zeljkovic, Ilija; Walkup, Daniel; Assaf, Badih A.
- Nature Nanotechnology, Vol. 10, Issue 10
Interplay of orbital effects and nanoscale strain in topological crystalline insulators
journal, April 2018
- Walkup, Daniel; Assaf, Badih A.; Scipioni, Kane L.
- Nature Communications, Vol. 9, Issue 1
Enhancement of the anisotropic thermoelectric power factor of topological crystalline insulator SnTe and related alloys via external perturbations
journal, January 2019
- Yarmohammadi, Mohsen; Mirabbaszadeh, Kavoos
- Journal of Materials Chemistry A, Vol. 7, Issue 44
Quantum coherent transport in SnTe topological crystalline insulator thin films
journal, September 2014
- Assaf, B. A.; Katmis, F.; Wei, P.
- Applied Physics Letters, Vol. 105, Issue 10
Unexpected superconductivity at nanoscale junctions made on the topological crystalline insulator Pb 0.6 Sn 0.4 Te
journal, September 2016
- Das, Shekhar; Aggarwal, Leena; Roychowdhury, Subhajit
- Applied Physics Letters, Vol. 109, Issue 13
Achieving low noise in scanning tunneling spectroscopy
journal, October 2019
- Ge, Jian-Feng; Ovadia, Maoz; Hoffman, Jennifer E.
- Review of Scientific Instruments, Vol. 90, Issue 10
Topology on a new facet of bismuth
journal, June 2019
- Hsu, Chuang-Han; Zhou, Xiaoting; Chang, Tay-Rong
- Proceedings of the National Academy of Sciences, Vol. 116, Issue 27
Quasiparticle interference on type-I and type-II Weyl semimetal surfaces: a review
journal, January 2018
- Zheng, Hao; Zahid Hasan, M.
- Advances in Physics: X, Vol. 3, Issue 1
Purely rotational symmetry-protected topological crystalline insulator $\alpha$ -Bi 4 Br 4
journal, May 2019
- Hsu, Chuang-Han; Zhou, Xiaoting; Ma, Qiong
- 2D Materials, Vol. 6, Issue 3
Proximity-induced superconductivity in a topological crystalline insulator
journal, December 2019
- Rachmilowitz, Bryan; Zhao, He; Li, Hong
- Physical Review B, Vol. 100, Issue 24
Bounds on nanoscale nematicity in single-layer
journal, March 2016
- Huang, Dennis; Webb, Tatiana A.; Fang, Shiang
- Physical Review B, Vol. 93, Issue 12
Universal scattering response across the type-II Weyl semimetal phase diagram
journal, February 2018
- Rüßmann, P.; Weber, A. P.; Glott, F.
- Physical Review B, Vol. 97, Issue 7
Topological nature of step-edge states on the surface of the topological crystalline insulator Pb 0.7 Sn 0.3 Se
journal, April 2019
- Iaia, Davide; Wang, Chang-Yan; Maximenko, Yulia
- Physical Review B, Vol. 99, Issue 15
Nodal arc of disordered Dirac fermions and non-Hermitian band theory
journal, May 2019
- Papaj, Michał; Isobe, Hiroki; Fu, Liang
- Physical Review B, Vol. 99, Issue 20
Revealing the Empty-State Electronic Structure of Single-Unit-Cell
journal, July 2015
- Huang, Dennis; Song, Can-Li; Webb, Tatiana A.
- Physical Review Letters, Vol. 115, Issue 1
Visualizing weakly bound surface Fermi arcs and their correspondence to bulk Weyl fermions
journal, August 2016
- Batabyal, Rajib; Morali, Noam; Avraham, Nurit
- Science Advances, Vol. 2, Issue 8
Superconducting topological surface states in the noncentrosymmetric bulk superconductor PbTaSe 2
journal, November 2016
- Guan, Syu-You; Chen, Peng-Jen; Chu, Ming-Wen
- Science Advances, Vol. 2, Issue 11
Robust spin-polarized midgap states at step edges of topological crystalline insulators
journal, December 2016
- Sessi, P.; Di Sante, D.; Szczerbakow, A.
- Science, Vol. 354, Issue 6317
Superconductivity of Topological Surface States and Strong Proximity Effect in Sn 1–x Pb x Te‐Pb Heterostructures
journal, September 2020
- Yang, Hao; Li, Yao‐Yi; Liu, Teng‐Teng
- Advanced Materials, Vol. 32, Issue 38
Robust spin-polarized midgap states at step edges of topological crystalline insulators
text, January 2016
- Sessi, P.; Di Sante, D.; Szczerbakow, A.
- American Association for the Advancement of Science
Quantum Coherent Transport in SnTe Topological Crystalline Insulator Thin Films
text, January 2014
- Assaf, Badih A.; Katmis, Ferhat; Wei, Peng
- arXiv
Dirac mass generation from crystal symmetry breaking on the surfaces of topological crystalline insulators
text, January 2014
- Zeljkovic, Ilija; Okada, Yoshinori; Serbyn, Maksym
- arXiv
Superconducting Topological Surface States in Non-centrosymmetric Bulk Superconductor PbTaSe2
text, January 2016
- Guan, Syu-You; Chen, Peng-Jen; Chu, Ming-Wen
- arXiv
Interplay of orbital effects and nanoscale strain in topological crystalline insulators
text, January 2016
- Walkup, Daniel; Assaf, Badih; Scipioni, Kane L.
- arXiv
Quasiparticle interference on type-I and type-II Weyl semimetal surfaces: a review
text, January 2018
- Zheng, Hao; Hasan, M. Zahid
- arXiv