**This section provides details on "Experimental methodologies and novel subroutines developed to make ARPES as a decisive probe of topology"**

Advanced ARPES and Quantum Topology |
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A novel experimental approach to topological quantum phenomena: Traditionally spectroscopic methods have been used to characterize electronic behavior in quantum matter whereas initial discoveries originated from transport methods. Our works in 3D topological insulators suggest that spectroscopic methods such as ARPES can be utilized to discover novel topological quantum phenomena ( |
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Some other examples of our

__theoretical predictions can be found here__

**Weyl semimetals, Fermi arcs and chiral anomaly**

S. Jia, S.-Y. Xu, M. Z. Hasan

*Nature Materials*15, 1140-1144 (2016) (Cover Story)

**Weyl Fermion Semimetals and topological Fermi arcs**

**Topological electronic structure and Weyl semimetal in the TlBiSe2 class of semiconductors**

B. Singh, A.h Sharma, H. Lin, M. Z. Hasan, R. Prasad, and A. Bansil

**Physical Review B 86, 115208**

__(2012)__**PhysicsWorld News: "Weyl fermions are spotted at long last"**

**Discovery of Weyl fermion semimetals named a 'breakthrough of the year' by Physics World**

**News at Lawrence Berkeley National Laboratory (LBNL)**,

**MIT physics news**

**Physics Highlights of the Year 2015 (Physics - American Physical Society)**

**Discovery of Weyl Fermion Semimetals: TaAs, NbAs, NbP, TaP, SrSi**

_{2}**Topological electronic structure and Weyl semimetal in the TlBiSe2 class of semiconductors.**

B. Singh, A.h Sharma, H. Lin, M. Z. Hasan, R. Prasad, and A. Bansil

*Physical Review B*86, 115208

__(2012)__Some examples of our

__theoretical predictions can be found here__

**Theoretical Prediction****:**

**A Weyl Fermion semimetal with surface Fermi arcs in the transition metal monopnictide TaAs class**

S.-M. Huang, S.-Y. Xu, I. Belopolski, C.-C. Lee, G. Chang, B. Wang, N. Alidoust, G. Bian, M. Neupane, C. Zhang, S. Jia, A. Bansil, H. Lin, M. Z. Hasan

*Nature Commun.*

**6**:7373 (2015) (submitted Nov 2014)

Also see:

*Phys. Rev. X*

**5**, 011029 (2015) (submitted Jan 2015)

**Experimental Discovery****:**

**Discovery of a Weyl Fermion semimetal and topological Fermi arcs**

S.-Y. Xu, I. Belopolski, N. Alidoust, M. Neupane, G. Bian, C. Zhang, R. Sankar, G. Chang, Z. Yuan, C.-C. Lee, S.-M. Huang, H. Zheng, J. Ma, D. S. Sanchez, B. Wang, A. Bansil, F. Chou, P. P. Shibayev, H. Lin, S. Jia, and M. Z. Hasan

*Science*

**349**, 613 (2015) (submitted Feb. 2015)

**PhysicsWorld News: "Weyl fermions are spotted at long last"**

**APS-Physics (American Physical Society): "Weyl Fermions"**

**Science News: "Elusive particle shows up in semimetal"**

**Nature Materials News: "Weyl fermions: Massless yet real"**

**Nature Physics News: "After a Weyl"**

**ChemistryWorld News: "Elusive fermion found at long last"**

**Physics (American Physical Society): "Where the Weyl Things Are"**

**Discovery of a Weyl Fermion state with Fermi arcs in niobium arsenide**

S.-Y. Xu, N. Alidoust, I. Belopolski, Z. Yuan, G. Bian, T.-R. Chang, H. Zheng, V. Strocov, D. S. Sanchez, G. Chang, C. Zhang, D. Mou, Y. Wu, L. Huang, C.-C. Lee, S.-M. Huang, B. Wang, A. Bansil, H.-T. Jeng, T. Neupert, A. Kaminski, H. Lin, S. Jia, and M. Z. Hasan

*Nature Physics*

**11**, 748 (2015)

**NaturePhysics: "Discovery of a Weyl Fermion state"**

**Nature Physics News: "After a Weyl"**

**Experimental discovery of a topological Weyl semimetal state in TaP**

S.-Y. Xu, I. Belopolski, D. S. Sanchez, C. Guo, G. Chang, C. Zhang, G. Bian, Z. Yuan, H. Lu, Yi. Feng, T.-R. Chang, P. P. Shibayev, M. L. Prokopovych, N. Alidoust, H. Zheng, C.-C. Lee, S.-M. Huang, R. Sankar, F. Chou, C.-H. Hsu, H.-T. Jeng, A, Bansil, T. Neupert, V. N. Strocov, H. Lin, S. Jia, M. Z. Hasan

*Science Advances*

**1**, 1501092 (2015)

**Fermi arc topology and interconnectivity in Weyl fermion semimetals TaAs, TaP, NbAs, and NbP**

C.-C. Lee, S.-Y. Xu, S.-M. Huang, D. S. Sanchez, I. Belopolski, G. Chang, G. Bian, N. Alidoust, H. Zheng, M. Neupane,B. Wang, A. Bansil, M. Z. Hasan, and H. Lin

*Phys. Rev. B*92, 235104 (2015)

**Signatures of Fermi Arcs in the Quasiparticle Interferences of the Weyl Semimetals TaAs and NbP**

G. Chang, S.-Y. Xu, H. Zheng, C.-C. Lee, S.-M. Huang, I. Belopolski, D. S. Sanchez, G. Bian, N. Alidoust, T.-R. Chang, C.-H. Hsu, H.-T. Jeng, A. Bansil, H. Lin, M. Z. Hasan

*Phys. Rev. Lett.*

**116**, 066601 (2016)

**Criteria for Directly Detecting Topological Fermi Arcs in Weyl Semimetals**

I. Belopolski, S.-Y. Xu, D. S. Sanchez, G. Chang, C. Guo, M. Neupane, H. Zheng, C.-C. Lee, S.-M. Huang, G. Bian, N. Alidoust, T.-R. Chang, B. Wang, X. Zhang, A. Bansil, H.-T. Jeng, H. Lin, S. Jia, M. Z. Hasan

*Phys. Rev. Lett.*

**116**, 066802 (2016)

**New type of Weyl semimetal with quadratic double Weyl fermions**

S.-M. Huang, S.-Y. Xu, I. Belopolski, C.-C. Lee, G. Chang, B. Wang, N. Alidoust, M. Neupane, H. Zheng, D. Sanchez, A. Bansil, G. Bian, H. Lin, and M. Z. Hasan

*PNAS*

**113**, 1180 (2015)

**Prediction of an arc-tunable Weyl Fermion metallic state in Mo**

_{x}W_{1-x}Te_{2}T.-R. Chang, S.-Y. Xu, G. Chang, C.-C. Lee, S.-M. Huang, B. Wang, G. Bian, H. Zheng, D. S. Sanchez, I. Belopolski, N. Alidoust, M. Neupane, A. Bansil, H.-T. Jeng, H. Lin, M. Zahid Hasan

*Nature Commun.*7:10639 (2016)

**Signatures of the Adler-Bell-Jackiw chiral anomaly in a Weyl semimetal**

C. Zhang, S.-Y. Xu, I. Belopolski, Z. Yuan, Z. Lin, B. Tong, N. Alidoust, C.-C. Lee, S.-M. Huang, H. Lin, M. Neupane, D. S. Sanchez, H. Zheng, G. Bian, J. Wang, C. Zhang, T. Neupert, M. Z. Hasan, S. Jia

*Nature Commun.*7:10735 (2016)

**Spin polarization and texture of the Fermi arcs in the Weyl Fermion semimetal TaAs**

S.-Y. Xu, I. Belopolski, D. S. Sanchez, M. Neupane, G. Chang, K. Yaji, Z. Yuan, C. Zhang, K. Kuroda, G. Bian, C. Guo, H. Lu, Y. Feng, T.-R. Chang, N. Alidoust, H. Zheng, C.-C. Lee, S.-M. Huang, C.-H. Hsu, Horng-Tay Jeng, A. Bansil, A. Alexandradinata, T. Neupert, T. Kondo, S. Shin, H. Lin, S. Jia, M Z. Hasan

*Phys. Rev. Lett.*116, 096801 (2016)

**Quantum Phase Transitions in Weyl Semimetal Tantalum Monophosphide**

C. Zhang, Z. Lin, C. Guo, S.-Y. Xu, C.-C. Lee, H. Lu, S.-M. Huang, G. Chang, C.-H. Hsu, H. Lin, L. Li, C. Zhang, T. Neupert, M. Z. Hasan, J, Wang, S. Jia

arXiv:1507.06301 (2015)

**Unoccupied electronic structure and signatures of topological Fermi arcs in the Weyl semimetal candidate Mo**

_{x}W_{1-x}Te_{2}I. Belopolski, S.-Y. Xu, Y. Ishida, X. Pan, P. Yu, D. S. Sanchez, M. Neupane, N. Alidoust, G. Chang, T.-R. Chang, Y. Wu, G. Bian, H. Zheng, S.-M. Huang, C.-C. Lee, D. Mou, L. Huang, Y. Song, B. Wang, G. Wang, Y.-W. Yeh, N. Yao, J. Rault, P. Lefevre, F. Bertran, H.-T. Jeng, T. Kondo, A. Kaminski, H. Lin, Z. Liu, F. Song, S. Shin, M. Z. Hasan

arXiv:1512.09099

**A strongly robust Weyl fermion semimetal state in Ta3S2**

G. Chang, S.-Y. Xu, D. S. Sanchez, S.-M. Huang, C.-C. Lee, T.-R. Chang, H. Zheng, G. Bian, I. Belopolski, N. Alidoust, H.-T. Jeng, A. Bansil, H. Lin, M. Z. Hasan

arXiv:1512.08781

Topological Nodal-line Fermions

Topological Nodal-line Fermions

**Topological Nodal-Line Fermions in Spin-Orbit Metal PbTaSe**

_{2}G. Bian, T.-R. Chang, R. Sankar, S.-Y. Xu, H. Zheng, T. Neupert, C.-K. Chiu, S.-M. Huang, G. Chang, I. Belopolski, D. S. Sanchez, M. Neupane, N. Alidoust, C. Liu, B. Wang, H.-T. Jeng, A. Bansil, F. Chou, H. Lin, and M. Z. Hasan

Nature Commun.

**7**:10556 (2016, submitted Nov 2015)

**Drumhead Surface States and Topological Nodal-Line Fermions in TlTaSe**

_{2}G. Bian.,T.-R. Chang., H. Zheng, S. Velury, S.-Y. Xu, T. Neupert, C.-K. Chiu, D. S. Sanchez, I. Belopolski, N. Alidoust, P.-J. Chen, G. Chang, A. Bansil, H.-T. Jeng, H. Lin, and M. Z. Hasan

arXiv:1508.07521

**Demonstration of a Fully Bulk Insulating (Intrinsic) Topological Insulator**

Observation of topological surface state quantum Hall effect in an intrinsic three-dimensional topological insulator.

Published in Y. Xu, I. Miotkowski, C. Liu, J. Tian, H. Nam, N. Alidoust, J. Hu, C.-K. Shih, M. Z. Hasan and Y. P. Chen,

Nature Physics

**10**, 956 (2014).

**Signatures of the Adler-Bell-Jackiw chiral anomaly in a Weyl semimetal**

C. Zhang, S.-Y. Xu, I. Belopolski, Z. Yuan, Z. Lin, B. Tong, N. Alidoust, C.-C. Lee, S.-M. Huang, H. Lin, M. Neupane, D. S. Sanchez, H. Zheng, G. Bian, J. Wang, C. Zhang, T. Neupert, M. Z. Hasan, S. Jia

*Nature Communications*7:10735 (2016)

**Topological Semimetals: Weyl semimetals, Fermi arcs and chiral anomaly**

S. Jia, S.-Y. Xu, M. Z. Hasan

*Nature Materials*15, 1140-1144 (2016) (Cover Story)

**Discovery of Weyl Fermion Semimetals and Topological Fermi Arc States**

M. Z. Hasan, S.-Y. Xu, I. Belopolski, S.-M. Huang

** Ann. Review Cond. Mat. Phys 8, 289-309 (2017)**

Moore Symposium Lecture (2014)

Moore Symposium Lecture (2014)