Criteria for Directly Detecting Topological Fermi Arcs in Weyl Semimetals

Belopolski, Ilya; Xu, Su-Yang; Sanchez, Daniel S.; Chang, Guoqing; Guo, Cheng; Neupane, Madhab; Zheng, Hao; Lee, Chi-Cheng; Huang, Shin-Ming; Bian, Guang; Alidoust, Nasser; Chang, Tay-Rong; Wang, BaoKai; Zhang, Xiao; Bansil, Arun; Jeng, Horng-Tay; Lin, Hsin; Jia, Shuang; Hasan, M. Zahid

doi:10.1103/PhysRevLett.116.066802

Title: Criteria for Directly Detecting Topological Fermi Arcs in Weyl Semimetals

Abstract

The recent discovery of the first Weyl semimetal in TaAs provides the first observation of a Weyl fermion in nature and demonstrates a novel type of anomalous surface state, the Fermi arc. Like topological insulators, the bulk topological invariants of a Weyl semimetal are uniquely fixed by the surface states of a bulk sample. We present a set of distinct conditions, accessible by angle-resolved photoemission spectroscopy (ARPES), each of which demonstrates topological Fermi arcs in a surface state band structure, with minimal reliance on calculation. We also apply these results to TaAs and NbP. For the first time, we rigorously demonstrate a nonzero Chern number in TaAs by counting chiral edge modes on a closed loop. Furthermore, we show that it is unreasonable to directly observe Fermi arcs in NbP by ARPES within available experimental resolution and spectral linewidth. Our results are general and apply to any new material to demonstrate a Weyl semimetal.

Authors:

Belopolski, Ilya ^[1]; Xu, Su-Yang ^[1]; Sanchez, Daniel S. ^[1]; Chang, Guoqing ^[2]; Guo, Cheng ^[3]; Neupane, Madhab ^[4]; Zheng, Hao ^[1]; Lee, Chi-Cheng ^[2]; Huang, Shin-Ming ^[2]; Bian, Guang ^[1]; Alidoust, Nasser ^[1]; Chang, Tay-Rong ^[5]; Wang, BaoKai ^[6]; Zhang, Xiao ^[3]; Bansil, Arun ^[7]; Jeng, Horng-Tay ^[8]; Lin, Hsin ^[2]; Jia, Shuang ^[3]; Hasan, M. Zahid ^[1]

Princeton Univ., NJ (United States). Lab. for Topological Quantum Matter and Spectroscopy
National Univ. of Singapore (Singapore). Centre for Advanced 2D Materials and Graphene Research Centre and Dept. of PHysics
Peking Univ., Beijing (China). International Center for Quantum Materials
Los Alamos National Lab. (LANL), Los Alamos, NM (United States). Condensed Matter and Magnet Science Group; Univ. of Central Florida, Orlando, FL (United States). Dept. of Physics
Princeton Univ., NJ (United States). Lab. for Topological Quantum Matter and Spectroscopy; National Tsing Hua Univ., Hsinchu (Taiwan). Dept. of Physics
National Univ. of Singapore (Singapore). Centre for Advanced 2D Materials and Graphene Research Centre and Dept. of PHysics; Northeastern Univ., Boston, MA (United States). Dept. of Physics
Northeastern Univ., Boston, MA (United States). Dept. of Physics
National Tsing Hua Univ., Hsinchu (Taiwan). Dept. of Physics; Academia Sinica, Taipei (Taiwan). Inst. of Physics

Publication Date:: Wed Feb 10 00:00:00 EST 2016

Research Org.:: Los Alamos National Laboratory (LANL), Los Alamos, NM (United States)

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

OSTI Identifier:: 1352386

Alternate Identifier(s):: OSTI ID: 1237788

Report Number(s):: LA-UR-17-22127
Journal ID: ISSN 0031-9007; PRLTAO

Grant/Contract Number:: AC52-06NA25396; FG02-07ER46352; AC02-05CH11231

Resource Type:: Accepted Manuscript

Journal Name:: Physical Review Letters

Additional Journal Information:: Journal Volume: 116; Journal Issue: 6; Journal ID: ISSN 0031-9007

Publisher:: American Physical Society (APS)

Country of Publication:: United States

Language:: English

Subject:: 36 MATERIALS SCIENCE; Material Science

Citation Formats


                    Belopolski, Ilya, Xu, Su-Yang, Sanchez, Daniel S., Chang, Guoqing, Guo, Cheng, Neupane, Madhab, Zheng, Hao, Lee, Chi-Cheng, Huang, Shin-Ming, Bian, Guang, Alidoust, Nasser, Chang, Tay-Rong, Wang, BaoKai, Zhang, Xiao, Bansil, Arun, Jeng, Horng-Tay, Lin, Hsin, Jia, Shuang, and Hasan, M. Zahid. Criteria for Directly Detecting Topological Fermi Arcs in Weyl Semimetals.  United States: N. p., 2016. 
Web.  doi:10.1103/PhysRevLett.116.066802.

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                    Belopolski, Ilya, Xu, Su-Yang, Sanchez, Daniel S., Chang, Guoqing, Guo, Cheng, Neupane, Madhab, Zheng, Hao, Lee, Chi-Cheng, Huang, Shin-Ming, Bian, Guang, Alidoust, Nasser, Chang, Tay-Rong, Wang, BaoKai, Zhang, Xiao, Bansil, Arun, Jeng, Horng-Tay, Lin, Hsin, Jia, Shuang, & Hasan, M. Zahid. Criteria for Directly Detecting Topological Fermi Arcs in Weyl Semimetals.  United States.  https://doi.org/10.1103/PhysRevLett.116.066802

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                    Belopolski, Ilya, Xu, Su-Yang, Sanchez, Daniel S., Chang, Guoqing, Guo, Cheng, Neupane, Madhab, Zheng, Hao, Lee, Chi-Cheng, Huang, Shin-Ming, Bian, Guang, Alidoust, Nasser, Chang, Tay-Rong, Wang, BaoKai, Zhang, Xiao, Bansil, Arun, Jeng, Horng-Tay, Lin, Hsin, Jia, Shuang, and Hasan, M. Zahid. Wed .  
"Criteria for Directly Detecting Topological Fermi Arcs in Weyl Semimetals".  United States.  https://doi.org/10.1103/PhysRevLett.116.066802.  https://www.osti.gov/servlets/purl/1352386.

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@article{osti_1352386,

  title        = {Criteria for Directly Detecting Topological Fermi Arcs in Weyl Semimetals},

  author       = {Belopolski, Ilya and Xu, Su-Yang and Sanchez, Daniel S. and Chang, Guoqing and Guo, Cheng and Neupane, Madhab and Zheng, Hao and Lee, Chi-Cheng and Huang, Shin-Ming and Bian, Guang and Alidoust, Nasser and Chang, Tay-Rong and Wang, BaoKai and Zhang, Xiao and Bansil, Arun and Jeng, Horng-Tay and Lin, Hsin and Jia, Shuang and Hasan, M. Zahid},

  abstractNote = {The recent discovery of the first Weyl semimetal in TaAs provides the first observation of a Weyl fermion in nature and demonstrates a novel type of anomalous surface state, the Fermi arc. Like topological insulators, the bulk topological invariants of a Weyl semimetal are uniquely fixed by the surface states of a bulk sample. We present a set of distinct conditions, accessible by angle-resolved photoemission spectroscopy (ARPES), each of which demonstrates topological Fermi arcs in a surface state band structure, with minimal reliance on calculation. We also apply these results to TaAs and NbP. For the first time, we rigorously demonstrate a nonzero Chern number in TaAs by counting chiral edge modes on a closed loop. Furthermore, we show that it is unreasonable to directly observe Fermi arcs in NbP by ARPES within available experimental resolution and spectral linewidth. Our results are general and apply to any new material to demonstrate a Weyl semimetal.},

  doi          = {10.1103/PhysRevLett.116.066802},

  journal      = {Physical Review Letters},

  number       = 6,

  volume       = 116,

  place        = {United States},

  year         = {Wed Feb 10 00:00:00 EST 2016},

  month        = {Wed Feb 10 00:00:00 EST 2016}

}

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Spin Polarization and Texture of the Fermi Arcs in the Weyl Fermion Semimetal TaAs

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A Weyl semimetal is a new state of matter that hosts Weyl fermions as quasiparticle excitations. The Weyl fermions at zero energy correspond to points of bulk-band degeneracy, called Weyl nodes, which are separated in momentum space and are connected only through the crystal’s boundary by an exotic Fermi arc surface state. Here, we experimentally measure the spin polarization of the Fermi arcs in the first experimentally discovered Weyl semimetal TaAs. Our spin data, for the first time, reveal that the Fermi arcs’ spin-polarization magnitude is as large as 80% and lies completely in the plane of the surface. Moreover,more »« less
Cited by 87
https://doi.org/10.1103/PhysRevLett.116.096801

Full Text Available
Evolution of the Fermi surface of Weyl semimetals in the transition metal pnictide family

Journal Article Liu, Z. K. ; Yang, L. X. ; Sun, Y. ; ... - Nature Materials

Topological Weyl semimetals (TWSs) represent a novel state of topological quantum matter which not only possesses Weyl fermions (massless chiral particles that can be viewed as magnetic monopoles in momentum space) in the bulk and unique Fermi arcs generated by topological surface states, but also exhibits appealing physical properties such as extremely large magnetoresistance and ultra-high carrier mobility. Here, by performing angle-resolved photoemission spectroscopy (ARPES) on NbP and TaP, we directly observed their band structures with characteristic Fermi arcs of TWSs. Furthermore, by systematically investigating NbP, TaP and TaAs from the same transition metal monopnictide family, we discovered their Fermiologymore »« less
Cited by 166
https://doi.org/10.1038/nmat4457

Full Text Available
Assessing Nontrivial Topology in Weyl Semimetals by Dichroic Photoemission

Journal Article Schusser, Jakub ; Bentmann, Hendrik ; Ünzelmann, Maxmillian ; ... - Physical Review Letters

The electronic structure of Weyl semimetals features Berry flux monopoles in the bulk and Fermi arcs at the surface. While angle-resolved photoelectron spectroscopy (ARPES) is successfully used to map the bulk and surface bands, it remains a challenge to explicitly resolve and pinpoint these topological features. Here we combine state-of-the-art photoemission theory and experiments over a wide range of excitation energies for the Weyl semimetals TaAs and TaP. Further, our results show that simple surface-band-counting schemes, proposed previously to identify nonzero Chern numbers, are ambiguous due to pronounced momentum-dependent spectral weight variations and the pronounced surface-bulk hybridization. Instead, our findingsmore »« less
https://doi.org/10.1103/physrevlett.129.246404

Full Text Available
Discovery of a Weyl fermion semimetal and topological Fermi arcs

Journal Article Xu, S. -Y. ; Belopolski, I. ; Alidoust, N. ; ... - Science

A Weyl semimetal is a crystal which hosts Weyl fermions as emergent quasiparticles and admits a topological classification that protects Fermi arc surface states on the boundary of a bulk sample. This unusual electronic structure has deep analogies with particle physics and leads to unique topological properties. We report the experimental discovery of the first Weyl semimetal, TaAs. Using photoemission spectroscopy, we directly observe Fermi arcs on the surface, as well as the Weyl fermion cones and Weyl nodes in the bulk of TaAs single crystals. We find that Fermi arcs terminate on the Weyl nodes, consistent with their topologicalmore »« less
Cited by 2457
https://doi.org/10.1126/science.aaa9297

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Title: Criteria for Directly Detecting Topological Fermi Arcs in Weyl Semimetals

Abstract

Citation Formats

Elektron und Gravitation. I journal, May 1929

Accidental Degeneracy in the Energy Bands of Crystals journal, August 1937

Some properties of gapless semiconductors of the second kind journal, August 1971

The Adler-Bell-Jackiw anomaly and Weyl fermions in a crystal journal, November 1983

Phase transition between the quantum spin Hall and insulator phases in 3D: emergence of a topological gapless phase journal, September 2007

Weyl Semimetal in a Topological Insulator Multilayer journal, September 2011

Topological semimetal and Fermi-arc surface states in the electronic structure of pyrochlore iridates journal, May 2011

Recent developments in transport phenomena in Weyl semimetals journal, November 2013

A Weyl Fermion semimetal with surface Fermi arcs in the transition metal monopnictide TaAs class journal, June 2015

Weyl Semimetal Phase in Noncentrosymmetric Transition-Metal Monophosphides journal, March 2015

Discovery of a Weyl fermion semimetal and topological Fermi arcs journal, July 2015

Experimental observation of Weyl points journal, July 2015

Experimental Discovery of Weyl Semimetal TaAs journal, July 2015

Observation of Weyl nodes in TaAs journal, August 2015

Discovery of a Weyl fermion state with Fermi arcs in niobium arsenide journal, August 2015

Experimental discovery of a topological Weyl semimetal state in TaP journal, November 2015

Weyl semimetal phase in the non-centrosymmetric compound TaAs journal, August 2015

Atomic-Scale Visualization of Quantum Interference on a Weyl Semimetal Surface by Scanning Tunneling Microscopy journal, December 2015

Topological Insulators and Topological Superconductors book, January 2013

Observation of Fermi arc surface states in a topological metal journal, December 2014

Observation of Fermi Arcs in Non-Centrosymmetric Weyl Semi-Metal Candidate NbP journal, September 2015

Variationally optimized atomic orbitals for large-scale electronic structures journal, April 2003

Generalized Gradient Approximation Made Simple journal, October 1996

New Metal-rich Phosphides of Niobium, Tantalum and Tungsten journal, August 1966

Stacking disorder in NbP, TaP, NbAs and TaAs journal, June 1984

Crystal Structure, Electrical Transport, and Magnetic Properties of Niobium Monophosphide journal, January 1996

Maximally localized generalized Wannier functions for composite energy bands journal, November 1997

wannier90: A tool for obtaining maximally-localised Wannier functions journal, May 2008

Fermi surface interconnectivity and topology in Weyl fermion semimetals TaAs, TaP, NbAs, and NbP journal, December 2015

Evolution of the Fermi surface of Weyl semimetals in the transition metal pnictide family journal, November 2015

Elektron und gravitation. I journal, November 1986

Phase transition between the quantum spin Hall and insulator phases in 3D: emergence of a topological gapless phase journal, February 2008

Weyl Semimetal in a Topological Insulator Multilayer text, January 2011

Recent developments in transport phenomena in Weyl semimetals text, January 2013

Weyl semimetal phase in non-centrosymmetric transition metal monophosphides text, January 2015

Discovery of a Weyl Fermion Semimetal and Topological Fermi Arcs text, January 2015

Experimental discovery of Weyl semimetal TaAs text, January 2015

Observation of Weyl nodes in TaAs text, January 2015

Experimental discovery of a topological Weyl semimetal state in TaP text, January 2015

Fermi Arcs and DC Transport in Nanowires of Dirac and Weyl Semimetals journal, December 2019

Layered Topological Insulators and Semimetals for Magnetoresistance Type Sensors journal, December 2018

Quantum transport in topological semimetals under magnetic fields (II) journal, April 2019

Photonic crystals possessing multiple Weyl points and the experimental observation of robust surface states journal, October 2016

Discovery of a new type of topological Weyl fermion semimetal state in MoxW1−xTe2 journal, December 2016

Weyl semimetals, Fermi arcs and chiral anomalies journal, October 2016

Direct optical detection of Weyl fermion chirality in a topological semimetal journal, May 2017

Tunable anomalous Hall conductivity through volume-wise magnetic competition in a topological kagome magnet journal, January 2020

Topological chiral crystals with helicoid-arc quantum states journal, March 2019

Validity of Weyl fermion picture for transition metals monopnictides TaAs, TaP, NbAs, and NbP from ab initio studies journal, February 2018

Discovery of topological nodal-line fermionic phase in a magnetic material GdSbTe journal, September 2018

Room-temperature magnetic topological Weyl fermion and nodal line semimetal states in half-metallic Heusler Co2TiX (X=Si, Ge, or Sn) journal, December 2016

Anisotropic thermoelectric properties of Weyl semimetal NbX (X = P and As): a potential thermoelectric material journal, January 2019

Dowsing for nodal lines in a topological semimetal journal, December 2018

Quantum transport in Dirac and Weyl semimetals: a review journal, May 2017

Symmetry demanded topological nodal-line materials journal, January 2018

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

Elastic phononic plates with first-order and second-order topological phases journal, January 2020

Electronic transport property in Weyl semimetal with local Weyl cone tilt journal, February 2018

Zitterbewegung in time-reversal Weyl semimetals journal, May 2018

Andreev reflection in nodal-line Weyl semimetal journal, February 2020

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

Weak-value amplification for Weyl-point separation in momentum space journal, October 2018

Electronic non-coplanar refraction and deflected diffraction of Weyl-node-mismatch junctions journal, November 2019

Nonlocal transport in superconducting heterostructures based on Weyl semimetals journal, August 2019

Epsilon-near-zero response and tunable perfect absorption in Weyl semimetals journal, August 2018

Green's function of semi-infinite Weyl semimetals journal, November 2018

Fermi arc engineering at the interface between two Weyl semimetals journal, November 2018

Transport across junctions of a Weyl and a multi-Weyl semimetal journal, February 2019

Tunable surface plasmons in Weyl semimetals TaAs and NbAs journal, March 2019

Phononic Weyl points and one-way topologically protected nontrivial phononic surface arc states in noncentrosymmetric WC-type materials journal, May 2019

Visualizing weakly bound surface Fermi arcs and their correspondence to bulk Weyl fermions journal, August 2016

Spin polarization and texture of the Fermi arcs in the Weyl Fermion semimetal TaAs text, January 2015

Bulk spectroscopic measurement of the topological charge of Weyl nodes with resonant x-rays text, January 2016

Weyl and Dirac Semimetals in Three Dimensional Solids text, January 2017

Symmetry Demanded Topological Nodal-line Materials text, January 2017

From Dirac semimetals to topological phases in three dimensions: a coupled wire construction text, January 2017

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

Elektron und Gravitation. I
journal, May 1929

Accidental Degeneracy in the Energy Bands of Crystals
journal, August 1937

Some properties of gapless semiconductors of the second kind
journal, August 1971

The Adler-Bell-Jackiw anomaly and Weyl fermions in a crystal
journal, November 1983

Phase transition between the quantum spin Hall and insulator phases in 3D: emergence of a topological gapless phase
journal, September 2007

Weyl Semimetal in a Topological Insulator Multilayer
journal, September 2011

Topological semimetal and Fermi-arc surface states in the electronic structure of pyrochlore iridates
journal, May 2011

Recent developments in transport phenomena in Weyl semimetals
journal, November 2013

A Weyl Fermion semimetal with surface Fermi arcs in the transition metal monopnictide TaAs class
journal, June 2015

Weyl Semimetal Phase in Noncentrosymmetric Transition-Metal Monophosphides
journal, March 2015

Discovery of a Weyl fermion semimetal and topological Fermi arcs
journal, July 2015

Experimental observation of Weyl points
journal, July 2015

Experimental Discovery of Weyl Semimetal TaAs
journal, July 2015

Observation of Weyl nodes in TaAs
journal, August 2015

Discovery of a Weyl fermion state with Fermi arcs in niobium arsenide
journal, August 2015

Experimental discovery of a topological Weyl semimetal state in TaP
journal, November 2015

Weyl semimetal phase in the non-centrosymmetric compound TaAs
journal, August 2015

Atomic-Scale Visualization of Quantum Interference on a Weyl Semimetal Surface by Scanning Tunneling Microscopy
journal, December 2015

Topological Insulators and Topological Superconductors
book, January 2013

Observation of Fermi arc surface states in a topological metal
journal, December 2014

Observation of Fermi Arcs in Non-Centrosymmetric Weyl Semi-Metal Candidate NbP
journal, September 2015

Variationally optimized atomic orbitals for large-scale electronic structures
journal, April 2003

Generalized Gradient Approximation Made Simple
journal, October 1996

New Metal-rich Phosphides of Niobium, Tantalum and Tungsten
journal, August 1966

Stacking disorder in NbP, TaP, NbAs and TaAs
journal, June 1984

Crystal Structure, Electrical Transport, and Magnetic Properties of Niobium Monophosphide
journal, January 1996

Maximally localized generalized Wannier functions for composite energy bands
journal, November 1997

wannier90: A tool for obtaining maximally-localised Wannier functions
journal, May 2008

Fermi surface interconnectivity and topology in Weyl fermion semimetals TaAs, TaP, NbAs, and NbP
journal, December 2015

Evolution of the Fermi surface of Weyl semimetals in the transition metal pnictide family
journal, November 2015

Elektron und gravitation. I
journal, November 1986

Phase transition between the quantum spin Hall and insulator phases in 3D: emergence of a topological gapless phase
journal, February 2008

Weyl Semimetal in a Topological Insulator Multilayer
text, January 2011

Recent developments in transport phenomena in Weyl semimetals
text, January 2013

Weyl semimetal phase in non-centrosymmetric transition metal monophosphides
text, January 2015

Discovery of a Weyl Fermion Semimetal and Topological Fermi Arcs
text, January 2015

Experimental discovery of Weyl semimetal TaAs
text, January 2015

Observation of Weyl nodes in TaAs
text, January 2015

Experimental discovery of a topological Weyl semimetal state in TaP
text, January 2015

Fermi Arcs and DC Transport in Nanowires of Dirac and Weyl Semimetals
journal, December 2019

Layered Topological Insulators and Semimetals for Magnetoresistance Type Sensors
journal, December 2018

Quantum transport in topological semimetals under magnetic fields (II)
journal, April 2019

Photonic crystals possessing multiple Weyl points and the experimental observation of robust surface states
journal, October 2016

Discovery of a new type of topological Weyl fermion semimetal state in MoxW1−xTe2
journal, December 2016

Weyl semimetals, Fermi arcs and chiral anomalies
journal, October 2016

Direct optical detection of Weyl fermion chirality in a topological semimetal
journal, May 2017

Tunable anomalous Hall conductivity through volume-wise magnetic competition in a topological kagome magnet
journal, January 2020

Topological chiral crystals with helicoid-arc quantum states
journal, March 2019

Validity of Weyl fermion picture for transition metals monopnictides TaAs, TaP, NbAs, and NbP from ab initio studies
journal, February 2018

Discovery of topological nodal-line fermionic phase in a magnetic material GdSbTe
journal, September 2018

Room-temperature magnetic topological Weyl fermion and nodal line semimetal states in half-metallic Heusler Co2TiX (X=Si, Ge, or Sn)
journal, December 2016

Anisotropic thermoelectric properties of Weyl semimetal NbX (X = P and As): a potential thermoelectric material
journal, January 2019

Dowsing for nodal lines in a topological semimetal
journal, December 2018

Quantum transport in Dirac and Weyl semimetals: a review
journal, May 2017

Symmetry demanded topological nodal-line materials
journal, January 2018

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

Elastic phononic plates with first-order and second-order topological phases
journal, January 2020

Electronic transport property in Weyl semimetal with local Weyl cone tilt
journal, February 2018

Zitterbewegung in time-reversal Weyl semimetals
journal, May 2018

Andreev reflection in nodal-line Weyl semimetal
journal, February 2020

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

Weak-value amplification for Weyl-point separation in momentum space
journal, October 2018

Electronic non-coplanar refraction and deflected diffraction of Weyl-node-mismatch junctions
journal, November 2019

Nonlocal transport in superconducting heterostructures based on Weyl semimetals
journal, August 2019

Epsilon-near-zero response and tunable perfect absorption in Weyl semimetals
journal, August 2018

Green's function of semi-infinite Weyl semimetals
journal, November 2018

Fermi arc engineering at the interface between two Weyl semimetals
journal, November 2018

Transport across junctions of a Weyl and a multi-Weyl semimetal
journal, February 2019

Tunable surface plasmons in Weyl semimetals TaAs and NbAs
journal, March 2019

Phononic Weyl points and one-way topologically protected nontrivial phononic surface arc states in noncentrosymmetric WC-type materials
journal, May 2019

Visualizing weakly bound surface Fermi arcs and their correspondence to bulk Weyl fermions
journal, August 2016

Spin polarization and texture of the Fermi arcs in the Weyl Fermion semimetal TaAs
text, January 2015

Bulk spectroscopic measurement of the topological charge of Weyl nodes with resonant x-rays
text, January 2016

Weyl and Dirac Semimetals in Three Dimensional Solids
text, January 2017

Symmetry Demanded Topological Nodal-line Materials
text, January 2017

From Dirac semimetals to topological phases in three dimensions: a coupled wire construction
text, January 2017

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

Chiral Optical Response of Multifold Fermions
text, January 2018

Epsilon-Near-Zero Response and Tunable Perfect Absorption in Weyl Semimetals
text, January 2018

Transport across junctions of a Weyl and a multi-Weyl semimetal
text, January 2018