Observation of Dirac Node Formation and Mass Acquisition in a Topological Crystalline Insulator

Okada, Yoshinori; Serbyn, Maksym; Lin, Hsin; Walkup, Daniel; Zhou, Wenwen; Dhital, Chetan; Neupane, Madhab; Xu, Suyang; Wang, Yung Jui; Sankar, R.; Chou, Fangcheng; Bansil, Arun; Hasan, M. Zahid; Wilson, Stephen D.; Fu, Liang; Madhavan, Vidya

doi:10.1126/science.1239451

Title: Observation of Dirac Node Formation and Mass Acquisition in a Topological Crystalline Insulator

Abstract

In topological crystalline insulators (TCIs), topology and crystal symmetry intertwine to create surface states with distinct characteristics. The breaking of crystal symmetry in TCIs is predicted to impart mass to the massless Dirac fermions. Here, we report high-resolution scanning tunneling microscopy studies of a TCI, Pb_1-xSn_xSe that reveal the coexistence of zero-mass Dirac fermions protected by crystal symmetry with massive Dirac fermions consistent with crystal symmetry breaking. In addition, we show two distinct regimes of the Fermi surface topology separated by a Van-Hove singularity at the Lifshitz transition point. Our work paves the way for engineering the Dirac band gap and realizing interaction-driven topological quantum phenomena in TCIs.

Authors:

Okada, Yoshinori ^[1]; Serbyn, Maksym ^[2]; Lin, Hsin ^[3]; Walkup, Daniel ^[4]; Zhou, Wenwen ^[4]; Dhital, Chetan ^[4]; Neupane, Madhab ^[5]; Xu, Suyang ^[5]; Wang, Yung Jui ^[3]; Sankar, R. ^[6]; Chou, Fangcheng ^[6]; Bansil, Arun ^[3]; Hasan, M. Zahid ^[5]; Wilson, Stephen D. ^[4]; Fu, Liang ^[2]; Madhavan, Vidya ^[4]

Boston College, Chestnut Hill, MA (United States); Tohoku Univ., Sendai (Japan)
Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States)
Northeastern Univ., Boston, MA (United States)
Boston College, Chestnut Hill, MA (United States)
Princeton Univ., NJ (United States)
National Taiwan Univ., Taipei (Taiwan)

Publication Date:: Thu Aug 29 00:00:00 EDT 2013

Research Org.:: Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States)

Sponsoring Org.:: USDOE Office of Science (SC), Basic Energy Sciences (BES)

OSTI Identifier:: 1557595

Grant/Contract Number:: SC0010526

Resource Type:: Accepted Manuscript

Journal Name:: Science

Additional Journal Information:: Journal Volume: 341; Journal Issue: 6153; Journal ID: ISSN 0036-8075

Publisher:: AAAS

Country of Publication:: United States

Language:: English

Subject:: 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS

Citation Formats


                    Okada, Yoshinori, Serbyn, Maksym, Lin, Hsin, Walkup, Daniel, Zhou, Wenwen, Dhital, Chetan, Neupane, Madhab, Xu, Suyang, Wang, Yung Jui, Sankar, R., Chou, Fangcheng, Bansil, Arun, Hasan, M. Zahid, Wilson, Stephen D., Fu, Liang, and Madhavan, Vidya. Observation of Dirac Node Formation and Mass Acquisition in a Topological Crystalline Insulator.  United States: N. p., 2013. 
Web.  doi:10.1126/science.1239451.

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                    Okada, Yoshinori, Serbyn, Maksym, Lin, Hsin, Walkup, Daniel, Zhou, Wenwen, Dhital, Chetan, Neupane, Madhab, Xu, Suyang, Wang, Yung Jui, Sankar, R., Chou, Fangcheng, Bansil, Arun, Hasan, M. Zahid, Wilson, Stephen D., Fu, Liang, & Madhavan, Vidya. Observation of Dirac Node Formation and Mass Acquisition in a Topological Crystalline Insulator.  United States.  https://doi.org/10.1126/science.1239451

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                    Okada, Yoshinori, Serbyn, Maksym, Lin, Hsin, Walkup, Daniel, Zhou, Wenwen, Dhital, Chetan, Neupane, Madhab, Xu, Suyang, Wang, Yung Jui, Sankar, R., Chou, Fangcheng, Bansil, Arun, Hasan, M. Zahid, Wilson, Stephen D., Fu, Liang, and Madhavan, Vidya. Thu .  
"Observation of Dirac Node Formation and Mass Acquisition in a Topological Crystalline Insulator".  United States.  https://doi.org/10.1126/science.1239451.  https://www.osti.gov/servlets/purl/1557595.

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@article{osti_1557595,

  title        = {Observation of Dirac Node Formation and Mass Acquisition in a Topological Crystalline Insulator},

  author       = {Okada, Yoshinori and Serbyn, Maksym and Lin, Hsin and Walkup, Daniel and Zhou, Wenwen and Dhital, Chetan and Neupane, Madhab and Xu, Suyang and Wang, Yung Jui and Sankar, R. and Chou, Fangcheng and Bansil, Arun and Hasan, M. Zahid and Wilson, Stephen D. and Fu, Liang and Madhavan, Vidya},

  abstractNote = {In topological crystalline insulators (TCIs), topology and crystal symmetry intertwine to create surface states with distinct characteristics. The breaking of crystal symmetry in TCIs is predicted to impart mass to the massless Dirac fermions. Here, we report high-resolution scanning tunneling microscopy studies of a TCI, Pb1-xSnxSe that reveal the coexistence of zero-mass Dirac fermions protected by crystal symmetry with massive Dirac fermions consistent with crystal symmetry breaking. In addition, we show two distinct regimes of the Fermi surface topology separated by a Van-Hove singularity at the Lifshitz transition point. Our work paves the way for engineering the Dirac band gap and realizing interaction-driven topological quantum phenomena in TCIs.},

  doi          = {10.1126/science.1239451},

  journal      = {Science},

  number       = 6153,

  volume       = 341,

  place        = {United States},

  year         = {Thu Aug 29 00:00:00 EDT 2013},

  month        = {Thu Aug 29 00:00:00 EDT 2013}

}

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DOI: 10.1126/sciadv.aat2374

Topological states from topological crystals
journal, December 2019

Song, Zhida; Huang, Sheng-Jie; Qi, Yang
Science Advances, Vol. 5, Issue 12
DOI: 10.1126/sciadv.aax2007

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
DOI: 10.1126/science.aah6233

Robust midgap states in band-inverted junctions under electric and magnetic fields
journal, January 2018

Díaz-Fernández, Álvaro; del Valle, Natalia; Domínguez-Adame, Francisco
Beilstein Journal of Nanotechnology, Vol. 9
DOI: 10.3762/bjnano.9.133

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
DOI: 10.5167/uzh-130119

Quantum Coherent Transport in SnTe Topological Crystalline Insulator Thin Films
text, January 2014

Assaf, Badih A.; Katmis, Ferhat; Wei, Peng
arXiv
DOI: 10.48550/arxiv.1403.1810

Dirac mass generation from crystal symmetry breaking on the surfaces of topological crystalline insulators
text, January 2014

Zeljkovic, Ilija; Okada, Yoshinori; Serbyn, Maksym
arXiv
DOI: 10.48550/arxiv.1403.4906

Electrically Tunable Quantum Spin Hall State in Topological Crystalline Insulator Thin films
text, January 2015

Liu, Junwei; Fu, Liang
arXiv
DOI: 10.48550/arxiv.1501.05632

Theory of interacting topological crystalline insulators
text, January 2015

Isobe, Hiroki; Fu, Liang
arXiv
DOI: 10.48550/arxiv.1502.06962

Topological Crystalline Insulator and Quantum Anomalous Hall States in IV-VI based Monolayers and their Quantum Wells
text, January 2015

Niu, C.; Buhl, P. M.; Bihlmayer, G.
arXiv
DOI: 10.48550/arxiv.1503.01939

Layered Topological Crystalline Insulators
text, January 2015

Kim, Youngkuk; Kane, C. L.; Mele, E. J.
arXiv
DOI: 10.48550/arxiv.1503.05966

Classification of topological quantum matter with symmetries
text, January 2015

Chiu, Ching-Kai; Teo, Jeffrey C. Y.; Schnyder, Andreas P.
arXiv
DOI: 10.48550/arxiv.1505.03535

Quantum nonlinear Hall effect induced by Berry curvature dipole in time-reversal invariant materials
text, January 2015

Sodemann, Inti; Fu, Liang
arXiv
DOI: 10.48550/arxiv.1508.00571

Topological phase diagram and saddle point singularity in a tunable topological crystalline insulator
text, January 2015

Neupane, Madhab; Xu, Su-Yang; Sankar, R.
arXiv
DOI: 10.48550/arxiv.1508.05886

A two-leg Su-Schrieffer-Heeger chain with glide reflection symmetry
text, January 2016

Zhang, Shao-Liang; Zhou, Qi
arXiv
DOI: 10.48550/arxiv.1604.06292

Imaging electronic states on topological semimetals using scanning tunneling microscopy
text, January 2016

Gyenis, Andras; Inoue, Hiroyuki; Jeon, Sangjun
arXiv
DOI: 10.48550/arxiv.1610.07197

Interplay of orbital effects and nanoscale strain in topological crystalline insulators
text, January 2016

Walkup, Daniel; Assaf, Badih; Scipioni, Kane L.
arXiv
DOI: 10.48550/arxiv.1610.09337

Surface Magnetism in Topological Crystalline Insulators
text, January 2017

Reja, Sahinur; Fertig, H. A.; Brey, L.
arXiv
DOI: 10.48550/arxiv.1705.06414

Symmetry-dependent topological phase transitions in PbTe layers
preprint, January 2017

Bassanezi, Daniely; Wrasse, Ernesto O.; Schmidt, Tome M.
arXiv
DOI: 10.48550/arxiv.1711.01967

Bulk characterization of topological crystalline insulators: stability under interactions and relations to symmetry enriched U(1) quantum spin liquids
text, January 2017

Zou, Liujun
arXiv
DOI: 10.48550/arxiv.1711.03090

Robust midgap states in band-inverted junctions under electric and magnetic fields
text, January 2018

Diaz-Fernandez, A.; del Valle, N.; Dominguez-Adame, F.
arXiv
DOI: 10.48550/arxiv.1804.09686

Quasiparticle interference on type-I and type-II Weyl semimetal surfaces: a review
text, January 2018

Zheng, Hao; Hasan, M. Zahid
arXiv
DOI: 10.48550/arxiv.1805.10590

Spin Stiffness and Domain Walls in Dirac-Electron Mediated Magnets
text, January 2018

Reja, Sahinur; Fertig, H. A.; Brey, L.
arXiv
DOI: 10.48550/arxiv.1808.05957

Multiple topological Dirac cones in a mixed-valent Kondo semimetal: g-SmS
text, January 2019

Kang, Chang-Jong; Ryu, Dong-Choon; Kim, Junwon
arXiv
DOI: 10.48550/arxiv.1908.05565

Surface Landau levels and spin states in bismuth (111) ultrathin films
journal, March 2016

Du, Hongjian; Sun, Xia; Liu, Xiaogang
Nature Communications, Vol. 7, Issue 1
DOI: 10.1038/ncomms10814

Zeeman splitting and dynamical mass generation in Dirac semimetal ZrTe5
journal, August 2016

Liu, Yanwen; Yuan, Xiang; Zhang, Cheng
Nature Communications, Vol. 7, Issue 1
DOI: 10.1038/ncomms12516

Direct observation and temperature control of the surface Dirac gap in a topological crystalline insulator
journal, October 2015

Wojek, B. M.; Berntsen, M. H.; Jonsson, V.
Nature Communications, Vol. 6, Issue 1
DOI: 10.1038/ncomms9463

Topological quantum phase transition from mirror to time reversal symmetry protected topological insulator
journal, October 2017

Mandal, Partha S.; Springholz, Gunther; Volobuev, Valentine V.
Nature Communications, Vol. 8, Issue 1
DOI: 10.1038/s41467-017-01204-0

Erratum: Observation of ultrahigh mobility surface states in a topological crystalline insulator by infrared spectroscopy
journal, October 2017

Wang, Ying; Luo, Guoyu; Liu, Junwei
Nature Communications, Vol. 8, Issue 1
DOI: 10.1038/s41467-017-01354-1

Quasiparticle interference and nonsymmorphic effect on a floating band surface state of ZrSiSe
journal, October 2018

Zhu, Zhen; Chang, Tay-Rong; Huang, Cheng-Yi
Nature Communications, Vol. 9, Issue 1
DOI: 10.1038/s41467-018-06661-9

Three-dimensional topological acoustic crystals with pseudospin-valley coupled saddle surface states
journal, November 2018

He, Cheng; Yu, Si-Yuan; Ge, Hao
Nature Communications, Vol. 9, Issue 1
DOI: 10.1038/s41467-018-07030-2

Massive and massless Dirac fermions in Pb1−xSnxTe topological crystalline insulator probed by magneto-optical absorption
journal, February 2016

Assaf, B. A.; Phuphachong, T.; Volobuev, V. V.
Scientific Reports, Vol. 6, Issue 1
DOI: 10.1038/srep20323

A pressure-induced topological phase with large Berry curvature in Pb _{1− x} Sn _x Te
journal, May 2017

Liang, Tian; Kushwaha, Satya; Kim, Jinwoong
Science Advances, Vol. 3, Issue 5
DOI: 10.1126/sciadv.1602510

New classes of topological crystalline insulators having surface rotation anomaly
journal, December 2019

Fang, Chen; Fu, Liang
Science Advances, Vol. 5, Issue 12
DOI: 10.1126/sciadv.aat2374

Topological states from topological crystals
journal, December 2019

Song, Zhida; Huang, Sheng-Jie; Qi, Yang
Science Advances, Vol. 5, Issue 12
DOI: 10.1126/sciadv.aax2007

Interplay of orbital effects and nanoscale strain in topological crystalline insulators
text, January 2016

Walkup, Daniel; Assaf, Badih; Scipioni, Kane L.
arXiv
DOI: 10.48550/arxiv.1610.09337

Robust midgap states in band-inverted junctions under electric and magnetic fields
text, January 2018

Diaz-Fernandez, A.; del Valle, N.; Dominguez-Adame, F.
arXiv
DOI: 10.48550/arxiv.1804.09686

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Title: Observation of Dirac Node Formation and Mass Acquisition in a Topological Crystalline Insulator

Abstract

Citation Formats

Topological Crystalline Insulators journal, March 2011

Topological crystalline insulators in the SnTe material class journal, January 2012

Experimental realization of a topological crystalline insulator in SnTe journal, September 2012

Observation of a topological crystalline insulator phase and topological phase transition in Pb1−xSnxTe journal, January 2012

Topological crystalline insulator states in Pb1−xSnxSe journal, September 2012

Phase separation near the Mott transition in La 2-x Sr x CuO 4 journal, January 1990

New Mechanism for Superconductivity journal, September 1965

New Mechanism for a Charge-Density-Wave Instability journal, July 1975

Magnetic phases near the Van Hove singularity in s - and d -band Hubbard models journal, August 1997

Kohn-Luttinger superconductivity in graphene journal, November 2008

Chiral superconductivity from repulsive interactions in doped graphene journal, January 2012

Visualizing Landau Levels of Dirac Electrons in a One-Dimensional Potential journal, October 2012

Observation of Landau levels of Dirac fermions in graphite journal, July 2007

Momentum-resolved Landau-level spectroscopy of Dirac surface state in Bi 2 Se 3 journal, August 2010

Observation of Van Hove singularities in twisted graphene layers journal, November 2009

Structure and temperature transformation of SnSe. Stabilization of a new cubic phase Sn4Bi2Se7 journal, January 1998

Phase Transition in SnTe with Low Carrier Concentration journal, February 1975

The domain structure of GeTe as observed by electron microscopy journal, August 1972

Investigation of the composition of vapour-grown Pb1-xSnxSe crystals ( x ≤ 0.4) by means of lattice parameter measurements journal, May 1994

Observation of a topological crystalline insulator phase and topological phase transition in Pb1−xSnxTe text, January 2012

Observation of Landau levels of Dirac fermions in graphite text, January 2007

Topological Crystalline Insulators text, January 2010

Topological crystalline insulator states in Pb(1-x)Sn(x)Se text, January 2012

Experimental realization of a topological crystalline insulator in SnTe text, January 2012

Magnetic phases near the Van Hove singularity in s- and d-band Hubbard model text, January 1999

Quasiparticle Interference Studies of Quantum Materials journal, June 2018

Length Scale and Dimensionality of Defects in Epitaxial SnTe Topological Crystalline Insulator Films journal, January 2017

Tailoring of Electronic Structure and Thermoelectric Properties of a Topological Crystalline Insulator by Chemical Doping journal, October 2015

Landau Level Broadening in the Three-Dimensional Topological Insulator Sb 2 Te 3 journal, April 2018

Surface Landau levels and spin states in bismuth (111) ultrathin films journal, March 2016

Zeeman splitting and dynamical mass generation in Dirac semimetal ZrTe5 journal, August 2016

Drive the Dirac electrons into Cooper pairs in SrxBi2Se3 journal, February 2017

Dirac cones and Dirac saddle points of bright excitons in monolayer transition metal dichalcogenides journal, May 2014

Direct observation and temperature control of the surface Dirac gap in a topological crystalline insulator journal, October 2015

Spin-filtered edge states with an electrically tunable gap in a two-dimensional topological crystalline insulator journal, December 2013

Landau quantization and quasiparticle interference in the three-dimensional Dirac semimetal Cd3As2 journal, June 2014

Dirac mass generation from crystal symmetry breaking on the surfaces of topological crystalline insulators journal, February 2015

Mapping the unconventional orbital texture in topological crystalline insulators journal, July 2014

Strain-induced partially flat band, helical snake states and interface superconductivity in topological crystalline insulators journal, November 2014

Interplay of orbital effects and nanoscale strain in topological crystalline insulators journal, April 2018

Quasiparticle interference and nonsymmorphic effect on a floating band surface state of ZrSiSe journal, October 2018

Three-dimensional topological acoustic crystals with pseudospin-valley coupled saddle surface states journal, November 2018

Massive and massless Dirac fermions in Pb1−xSnxTe topological crystalline insulator probed by magneto-optical absorption journal, February 2016

The journey of tin chalcogenides towards high-performance thermoelectrics and topological materials journal, January 2018

Enhancement of thermoelectric performance via weak disordering of topological crystalline insulators and band convergence by Se alloying in Pb 0.5 Sn 0.5 Te 1 − x Se x journal, January 2018

Enhanced thermoelectric performance in topological crystalline insulator n-type Pb 0.6 Sn 0.4 Te by simultaneous tuning of the band gap and chemical potential journal, January 2018

A methodical study of quantum phase engineering in topological crystalline insulator SnTe and related alloys journal, January 2019

Digging for topological property in disordered alloys: the emergence of Weyl semimetal phase and sequential band inversions in PbSe–SnSe alloys journal, January 2019

Enhancement of the anisotropic thermoelectric power factor of topological crystalline insulator SnTe and related alloys via external perturbations journal, January 2019

Quantum coherent transport in SnTe topological crystalline insulator thin films journal, September 2014

Unexpected superconductivity at nanoscale junctions made on the topological crystalline insulator Pb 0.6 Sn 0.4 Te journal, September 2016

Fundamental insights to topological quantum materials: A real-space view of 13 cases by supersymmetry of valence bonds approach journal, March 2019

Topology on a new facet of bismuth journal, June 2019

Quasiparticle interference on type-I and type-II Weyl semimetal surfaces: a review journal, January 2018

Hybridization of topological surface states with a flat band journal, January 2020

Topological phase transition and highly tunable topological transport in topological crystalline insulator Pb 1− x Sn x Te (111) thin films journal, April 2019

Imaging electronic states on topological semimetals using scanning tunneling microscopy journal, October 2016

Purely rotational symmetry-protected topological crystalline insulator $\alpha$ -Bi 4 Br 4 journal, May 2019

Symmetry-dependent topological phase transitions in PbTe layers journal, January 2018

Two-leg Su-Schrieffer-Heeger chain with glide reflection symmetry journal, June 2017

Topological states on fractal lattices journal, October 2019

Proximity-induced superconductivity in a topological crystalline insulator journal, December 2019

Aperiodic topological crystalline insulators journal, January 2020

Observation of topological crystalline insulator surface states on (111)-oriented Pb 1 − x Sn x Se films journal, February 2014

Structural stability and topological surface states of the SnTe (111) surface journal, March 2014

Symmetry breaking and Landau quantization in topological crystalline insulators journal, July 2014

Topological phase transition in a topological crystalline insulator induced by finite-size effects journal, July 2014

Topological crystalline insulators and Dirac octets in antiperovskites journal, August 2014

Electrically tunable quantum spin Hall state in topological crystalline insulator thin films journal, February 2015

Inducing magnetism onto the surface of a topological crystalline insulator journal, May 2015

Topological crystalline insulator and quantum anomalous Hall states in IV-VI-based monolayers and their quantum wells journal, May 2015

Topological phase diagram and saddle point singularity in a tunable topological crystalline insulator journal, August 2015

Theory of interacting topological crystalline insulators journal, August 2015

Drumhead surface states and topological nodal-line fermions in TlTaSe 2 journal, March 2016

Surface magnetism in topological crystalline insulators journal, November 2017

Bulk characterization of topological crystalline insulators: Stability under interactions and relations to symmetry enriched U (1) quantum spin liquids journal, January 2018

Origin of the extremely large magnetoresistance in topological semimetal PtS n 4 journal, May 2018

Topological Crystalline Insulators
journal, March 2011

Topological crystalline insulators in the SnTe material class
journal, January 2012

Experimental realization of a topological crystalline insulator in SnTe
journal, September 2012

Observation of a topological crystalline insulator phase and topological phase transition in Pb1−xSnxTe
journal, January 2012

Topological crystalline insulator states in Pb1−xSnxSe
journal, September 2012

Phase separation near the Mott transition in La _2-x Sr _x CuO ₄
journal, January 1990

New Mechanism for Superconductivity
journal, September 1965

New Mechanism for a Charge-Density-Wave Instability
journal, July 1975

Magnetic phases near the Van Hove singularity in $s$ - and $d$ -band Hubbard models
journal, August 1997

Kohn-Luttinger superconductivity in graphene
journal, November 2008

Chiral superconductivity from repulsive interactions in doped graphene
journal, January 2012

Visualizing Landau Levels of Dirac Electrons in a One-Dimensional Potential
journal, October 2012

Observation of Landau levels of Dirac fermions in graphite
journal, July 2007

Momentum-resolved Landau-level spectroscopy of Dirac surface state in ${Bi}_{2} {Se}_{3}$
journal, August 2010

Observation of Van Hove singularities in twisted graphene layers
journal, November 2009

Structure and temperature transformation of SnSe. Stabilization of a new cubic phase Sn4Bi2Se7
journal, January 1998

Phase Transition in SnTe with Low Carrier Concentration
journal, February 1975

The domain structure of GeTe as observed by electron microscopy
journal, August 1972

Investigation of the composition of vapour-grown Pb1-xSnxSe crystals ( x ≤ 0.4) by means of lattice parameter measurements
journal, May 1994

Observation of a topological crystalline insulator phase and topological phase transition in Pb1−xSnxTe
text, January 2012

Observation of Landau levels of Dirac fermions in graphite
text, January 2007

Topological Crystalline Insulators
text, January 2010

Topological crystalline insulator states in Pb(1-x)Sn(x)Se
text, January 2012

Experimental realization of a topological crystalline insulator in SnTe
text, January 2012

Magnetic phases near the Van Hove singularity in s- and d-band Hubbard model
text, January 1999

Quasiparticle Interference Studies of Quantum Materials
journal, June 2018

Length Scale and Dimensionality of Defects in Epitaxial SnTe Topological Crystalline Insulator Films
journal, January 2017

Tailoring of Electronic Structure and Thermoelectric Properties of a Topological Crystalline Insulator by Chemical Doping
journal, October 2015

Landau Level Broadening in the Three-Dimensional Topological Insulator Sb ₂ Te ₃
journal, April 2018

Surface Landau levels and spin states in bismuth (111) ultrathin films
journal, March 2016

Zeeman splitting and dynamical mass generation in Dirac semimetal ZrTe5
journal, August 2016

Drive the Dirac electrons into Cooper pairs in SrxBi2Se3
journal, February 2017

Dirac cones and Dirac saddle points of bright excitons in monolayer transition metal dichalcogenides
journal, May 2014

Direct observation and temperature control of the surface Dirac gap in a topological crystalline insulator
journal, October 2015

Spin-filtered edge states with an electrically tunable gap in a two-dimensional topological crystalline insulator
journal, December 2013

Landau quantization and quasiparticle interference in the three-dimensional Dirac semimetal Cd3As2
journal, June 2014

Dirac mass generation from crystal symmetry breaking on the surfaces of topological crystalline insulators
journal, February 2015

Mapping the unconventional orbital texture in topological crystalline insulators
journal, July 2014

Strain-induced partially flat band, helical snake states and interface superconductivity in topological crystalline insulators
journal, November 2014

Interplay of orbital effects and nanoscale strain in topological crystalline insulators
journal, April 2018

Quasiparticle interference and nonsymmorphic effect on a floating band surface state of ZrSiSe
journal, October 2018

Three-dimensional topological acoustic crystals with pseudospin-valley coupled saddle surface states
journal, November 2018

Massive and massless Dirac fermions in Pb1−xSnxTe topological crystalline insulator probed by magneto-optical absorption
journal, February 2016

The journey of tin chalcogenides towards high-performance thermoelectrics and topological materials
journal, January 2018

Enhancement of thermoelectric performance via weak disordering of topological crystalline insulators and band convergence by Se alloying in Pb _0.5 Sn _0.5 Te _{1 − x} Se _x
journal, January 2018

Enhanced thermoelectric performance in topological crystalline insulator n-type Pb _0.6 Sn _0.4 Te by simultaneous tuning of the band gap and chemical potential
journal, January 2018

A methodical study of quantum phase engineering in topological crystalline insulator SnTe and related alloys
journal, January 2019

Digging for topological property in disordered alloys: the emergence of Weyl semimetal phase and sequential band inversions in PbSe–SnSe alloys
journal, January 2019

Enhancement of the anisotropic thermoelectric power factor of topological crystalline insulator SnTe and related alloys via external perturbations
journal, January 2019

Quantum coherent transport in SnTe topological crystalline insulator thin films
journal, September 2014

Unexpected superconductivity at nanoscale junctions made on the topological crystalline insulator Pb _0.6 Sn _0.4 Te
journal, September 2016

Fundamental insights to topological quantum materials: A real-space view of 13 cases by supersymmetry of valence bonds approach
journal, March 2019

Topology on a new facet of bismuth
journal, June 2019

Quasiparticle interference on type-I and type-II Weyl semimetal surfaces: a review
journal, January 2018

Hybridization of topological surface states with a flat band
journal, January 2020

Topological phase transition and highly tunable topological transport in topological crystalline insulator Pb _{1− x} Sn _x Te (111) thin films
journal, April 2019

Imaging electronic states on topological semimetals using scanning tunneling microscopy
journal, October 2016

Purely rotational symmetry-protected topological crystalline insulator $\alpha$ -Bi 4 Br 4
journal, May 2019

Symmetry-dependent topological phase transitions in PbTe layers
journal, January 2018

Two-leg Su-Schrieffer-Heeger chain with glide reflection symmetry
journal, June 2017

Topological states on fractal lattices
journal, October 2019

Proximity-induced superconductivity in a topological crystalline insulator
journal, December 2019

Aperiodic topological crystalline insulators
journal, January 2020

Observation of topological crystalline insulator surface states on (111)-oriented Pb $_{1 - x}$ Sn $_{x}$ Se films
journal, February 2014

Structural stability and topological surface states of the SnTe (111) surface
journal, March 2014

Symmetry breaking and Landau quantization in topological crystalline insulators
journal, July 2014

Topological phase transition in a topological crystalline insulator induced by finite-size effects
journal, July 2014

Topological crystalline insulators and Dirac octets in antiperovskites
journal, August 2014

Electrically tunable quantum spin Hall state in topological crystalline insulator thin films
journal, February 2015

Inducing magnetism onto the surface of a topological crystalline insulator
journal, May 2015

Topological crystalline insulator and quantum anomalous Hall states in IV-VI-based monolayers and their quantum wells
journal, May 2015

Topological phase diagram and saddle point singularity in a tunable topological crystalline insulator
journal, August 2015

Theory of interacting topological crystalline insulators
journal, August 2015

Drumhead surface states and topological nodal-line fermions in ${TlTaSe}_{2}$
journal, March 2016

Surface magnetism in topological crystalline insulators
journal, November 2017

Bulk characterization of topological crystalline insulators: Stability under interactions and relations to symmetry enriched $U$ (1) quantum spin liquids
journal, January 2018

Origin of the extremely large magnetoresistance in topological semimetal $PtS n_{4}$
journal, May 2018

Black-hole horizon in the Dirac semimetal ${Zn}_{2} {In}_{2} S_{5}$
journal, September 2018

Spin stiffness and domain walls in Dirac-electron mediated magnets
journal, January 2019

Topological nature of step-edge states on the surface of the topological crystalline insulator Pb 0.7 Sn 0.3 Se
journal, April 2019