Optical signatures of multifold fermions in the chiral topological semimetal CoSi
Abstract
We present a comprehensive combined experimental and theoretical study of optical conductivity in the chiral topological semimetal CoSi based on the development of high-quality crystals. We reveal the presence and the energy range of various exotic multifold quasiparticles in the optical responses and provide experimental evidence for the realization of fourfold spin-3/2 fermions, which were not directly observed previously. Our work is critical to interpreting future optical and transport responses of multifold fermion materials. We believe the methods used in this work will not only stimulate future research in this class of materials but will also provide a strategy for addressing optical signatures of chiral topological fermions in solids.
- Authors:
-
- Fribourg Center for Nanomaterials, Department of Physics, University of Fribourg, CH-1700 Fribourg, Switzerland,
- Department of Chemistry, University of Pennsylvania, Philadelphia, PA 19104-6323,
- Institut Néel, CNRS and Université Grenoble Alpes, 38042 Grenoble, France,
- Department of Physics and Astronomy, University of Pennsylvania, Philadelphia, PA 19104,, Department of Physics, Drexel University, Philadelphia, PA 19104,, Department of Materials Science and Engineering, Drexel University, Philadelphia, PA 19104,
- Department of Physics and Astronomy, University of Pennsylvania, Philadelphia, PA 19104,
- Max Planck Institut fur Chemische Physik fester Stoffe, 01187 Dresden, Germany,
- Maryland Quantum Materials Center, Department of Physics, University of Maryland, College Park, MD 20742,
- Maryland Quantum Materials Center, Department of Physics, University of Maryland, College Park, MD 20742,, Canadian Institute for Advanced Research, Toronto, Ontario M5G 1Z8, Canada
- Max Planck Institut fur Chemische Physik fester Stoffe, 01187 Dresden, Germany,, Canadian Institute for Advanced Research, Toronto, Ontario M5G 1Z8, Canada
- Publication Date:
- Research Org.:
- Univ. of Pennsylvania, Philadelphia, PA (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC)
- OSTI Identifier:
- 1678771
- Alternate Identifier(s):
- OSTI ID: 1849795; OSTI ID: 1867826
- Grant/Contract Number:
- FG02-07ER46431
- Resource Type:
- Published Article
- Journal Name:
- Proceedings of the National Academy of Sciences of the United States of America
- Additional Journal Information:
- Journal Name: Proceedings of the National Academy of Sciences of the United States of America Journal Volume: 117 Journal Issue: 44; Journal ID: ISSN 0027-8424
- Publisher:
- Proceedings of the National Academy of Sciences
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 37 INORGANIC, ORGANIC, PHYSICAL, AND ANALYTICAL CHEMISTRY; 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; 36 MATERIALS SCIENCE; science & technology; topological semimetal; optical conductivity; multifold fermions; 75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY; chiral topology, fermions, semimetal
Citation Formats
Xu, Bing, Fang, Zhenyao, Sánchez-Martínez, Miguel-Ángel, Venderbos, Jorn W. F., Ni, Zhuoliang, Qiu, Tian, Manna, Kaustuv, Wang, Kefeng, Paglione, Johnpierre, Bernhard, Christian, Felser, Claudia, Mele, Eugene J., Grushin, Adolfo G., Rappe, Andrew M., and Wu, Liang. Optical signatures of multifold fermions in the chiral topological semimetal CoSi. United States: N. p., 2020.
Web. doi:10.1073/pnas.2010752117.
Xu, Bing, Fang, Zhenyao, Sánchez-Martínez, Miguel-Ángel, Venderbos, Jorn W. F., Ni, Zhuoliang, Qiu, Tian, Manna, Kaustuv, Wang, Kefeng, Paglione, Johnpierre, Bernhard, Christian, Felser, Claudia, Mele, Eugene J., Grushin, Adolfo G., Rappe, Andrew M., & Wu, Liang. Optical signatures of multifold fermions in the chiral topological semimetal CoSi. United States. https://doi.org/10.1073/pnas.2010752117
Xu, Bing, Fang, Zhenyao, Sánchez-Martínez, Miguel-Ángel, Venderbos, Jorn W. F., Ni, Zhuoliang, Qiu, Tian, Manna, Kaustuv, Wang, Kefeng, Paglione, Johnpierre, Bernhard, Christian, Felser, Claudia, Mele, Eugene J., Grushin, Adolfo G., Rappe, Andrew M., and Wu, Liang. Mon .
"Optical signatures of multifold fermions in the chiral topological semimetal CoSi". United States. https://doi.org/10.1073/pnas.2010752117.
@article{osti_1678771,
title = {Optical signatures of multifold fermions in the chiral topological semimetal CoSi},
author = {Xu, Bing and Fang, Zhenyao and Sánchez-Martínez, Miguel-Ángel and Venderbos, Jorn W. F. and Ni, Zhuoliang and Qiu, Tian and Manna, Kaustuv and Wang, Kefeng and Paglione, Johnpierre and Bernhard, Christian and Felser, Claudia and Mele, Eugene J. and Grushin, Adolfo G. and Rappe, Andrew M. and Wu, Liang},
abstractNote = {We present a comprehensive combined experimental and theoretical study of optical conductivity in the chiral topological semimetal CoSi based on the development of high-quality crystals. We reveal the presence and the energy range of various exotic multifold quasiparticles in the optical responses and provide experimental evidence for the realization of fourfold spin-3/2 fermions, which were not directly observed previously. Our work is critical to interpreting future optical and transport responses of multifold fermion materials. We believe the methods used in this work will not only stimulate future research in this class of materials but will also provide a strategy for addressing optical signatures of chiral topological fermions in solids.},
doi = {10.1073/pnas.2010752117},
journal = {Proceedings of the National Academy of Sciences of the United States of America},
number = 44,
volume = 117,
place = {United States},
year = {Mon Oct 19 00:00:00 EDT 2020},
month = {Mon Oct 19 00:00:00 EDT 2020}
}
https://doi.org/10.1073/pnas.2010752117
Works referenced in this record:
Difference frequency generation in topological semimetals
journal, January 2020
- de Juan, F.; Zhang, Y.; Morimoto, T.
- Physical Review Research, Vol. 2, Issue 1
Generalized Gradient Approximation Made Simple
journal, October 1996
- Perdew, John P.; Burke, Kieron; Ernzerhof, Matthias
- Physical Review Letters, Vol. 77, Issue 18, p. 3865-3868
Giant topological longitudinal circular photo-galvanic effect in the chiral multifold semimetal CoSi
journal, January 2021
- Ni, Zhuoliang; Wang, K.; Zhang, Y.
- Nature Communications, Vol. 12, Issue 1
Fermi-arc diversity on surface terminations of the magnetic Weyl semimetal Co 3 Sn 2 S 2
journal, September 2019
- Morali, Noam; Batabyal, Rajib; Nag, Pranab Kumar
- Science, Vol. 365, Issue 6459
Chiral anomaly and optical absorption in Weyl semimetals
journal, June 2014
- Ashby, Phillip E. C.; Carbotte, J. P.
- Physical Review B, Vol. 89, Issue 24
Nonlinear photoresponse of type-II Weyl semimetals
journal, March 2019
- Ma, Junchao; Gu, Qiangqiang; Liu, Yinan
- Nature Materials, Vol. 18, Issue 5
An updated version of wannier90: A tool for obtaining maximally-localised Wannier functions
journal, August 2014
- Mostofi, Arash A.; Yates, Jonathan R.; Pizzi, Giovanni
- Computer Physics Communications, Vol. 185, Issue 8
Low-frequency optical conductivity in graphene and in other scale-invariant two-band systems
journal, March 2013
- Bácsi, Ádám; Virosztek, Attila
- Physical Review B, Vol. 87, Issue 12
Interband optical conductivity of the [001]-oriented Dirac semimetal
journal, March 2016
- Neubauer, D.; Carbotte, J. P.; Nateprov, A. A.
- Physical Review B, Vol. 93, Issue 12
Magneto-Optical Signature of Massless Kane Electrons in
journal, September 2016
- Akrap, A.; Hakl, M.; Tchoumakov, S.
- Physical Review Letters, Vol. 117, Issue 13
Discovery of a Weyl fermion state with Fermi arcs in niobium arsenide
journal, August 2015
- Xu, Su-Yang; Alidoust, Nasser; Belopolski, Ilya
- Nature Physics, Vol. 11, Issue 9
QUANTUM ESPRESSO: a modular and open-source software project for quantum simulations of materials
journal, September 2009
- Giannozzi, Paolo; Baroni, Stefano; Bonini, Nicola
- Journal of Physics: Condensed Matter, Vol. 21, Issue 39, Article No. 395502
Observation of unconventional chiral fermions with long Fermi arcs in CoSi
journal, March 2019
- Rao, Zhicheng; Li, Hang; Zhang, Tiantian
- Nature, Vol. 567, Issue 7749
Topological chiral crystals with helicoid-arc quantum states
journal, March 2019
- Sanchez, Daniel S.; Belopolski, Ilya; Cochran, Tyler A.
- Nature, Vol. 567, Issue 7749
Unconventional free charge in the correlated semimetal Nd2Ir2O7
journal, June 2020
- Wang, K.; Xu, B.; Rischau, C. W.
- Nature Physics
Tracking Ultrafast Photocurrents in the Weyl Semimetal TaAs Using THz Emission Spectroscopy
journal, May 2019
- Sirica, N.; Tobey, R. I.; Zhao, L. X.
- Physical Review Letters, Vol. 122, Issue 19
Optical spectroscopy of the Weyl semimetal TaAs
journal, March 2016
- Xu, B.; Dai, Y. M.; Zhao, L. X.
- Physical Review B, Vol. 93, Issue 12
Resonance-enhanced optical nonlinearity in the Weyl semimetal TaAs
journal, October 2018
- Patankar, Shreyas; Wu, Liang; Lu, Baozhu
- Physical Review B, Vol. 98, Issue 16
Linear and nonlinear optical responses in the chiral multifold semimetal RhSi
journal, December 2020
- Ni, Zhuoliang; Xu, B.; Sánchez-Martínez, M. -Á.
- npj Quantum Materials, Vol. 5, Issue 1
Optical spectroscopy study of the three-dimensional Dirac semimetal
journal, August 2015
- Chen, R. Y.; Zhang, S. J.; Schneeloch, J. A.
- Physical Review B, Vol. 92, Issue 7
Spatially dispersive circular photogalvanic effect in a Weyl semimetal
journal, July 2019
- Ji, Zhurun; Liu, Gerui; Addison, Zachariah
- Nature Materials, Vol. 18, Issue 9
Helicity-dependent photocurrents in the chiral Weyl semimetal RhSi
journal, July 2020
- Rees, Dylan; Manna, Kaustuv; Lu, Baozhu
- Science Advances, Vol. 6, Issue 29
Observation of Weyl nodes in TaAs
journal, August 2015
- Lv, B. Q.; Xu, N.; Weng, H. M.
- Nature Physics, Vol. 11, Issue 9
Suppressed reflectivity due to spin-controlled localization in a magnetic semiconductor
journal, February 2006
- Mena, F. P.; DiTusa, J. F.; van der Marel, D.
- Physical Review B, Vol. 73, Issue 8
Universal Optical Conductance of Graphite
journal, March 2008
- Kuzmenko, A. B.; van Heumen, E.; Carbone, F.
- Physical Review Letters, Vol. 100, Issue 11
Weyl semimetal phase in the non-centrosymmetric compound TaAs
journal, August 2015
- Yang, L. X.; Liu, Z. K.; Sun, Y.
- Nature Physics, Vol. 11, Issue 9
Unconventional Chiral Fermions and Large Topological Fermi Arcs in RhSi
journal, November 2017
- Chang, Guoqing; Xu, Su-Yang; Wieder, Benjamin J.
- Physical Review Letters, Vol. 119, Issue 20
Charge Transport in Weyl Semimetals
journal, January 2012
- Hosur, Pavan; Parameswaran, S. A.; Vishwanath, Ashvin
- Physical Review Letters, Vol. 108, Issue 4
Multiple Types of Topological Fermions in Transition Metal Silicides
journal, November 2017
- Tang, Peizhe; Zhou, Quan; Zhang, Shou-Cheng
- Physical Review Letters, Vol. 119, Issue 20
Unconventional Photocurrents from Surface Fermi Arcs in Topological Chiral Semimetals
journal, April 2020
- Chang, Guoqing; Yin, Jia-Xin; Neupert, Titus
- Physical Review Letters, Vol. 124, Issue 16
Topological semimetals with triply degenerate nodal points in -phase tantalum nitride
journal, June 2016
- Weng, Hongming; Fang, Chen; Fang, Zhong
- Physical Review B, Vol. 93, Issue 24
Linear optical conductivity of chiral multifold fermions
journal, April 2019
- Sánchez-Martínez, Miguel-Ángel; de Juan, Fernando; Grushin, Adolfo G.
- Physical Review B, Vol. 99, Issue 15
Spin, charge, and bonding in transition metal mono-silicides
journal, January 1998
- van der Marel, D.; Damascelli, A.; Schulte, K.
- Physica B: Condensed Matter, Vol. 244
Magnetic Weyl semimetal phase in a Kagomé crystal
journal, September 2019
- Liu, D. F.; Liang, A. J.; Liu, E. K.
- Science, Vol. 365, Issue 6459
Topological quantum properties of chiral crystals
journal, October 2018
- Chang, Guoqing; Wieder, Benjamin J.; Schindler, Frank
- Nature Materials, Vol. 17, Issue 11
Chiral terahertz wave emission from the Weyl semimetal TaAs
journal, February 2020
- Gao, Y.; Kaushik, S.; Philip, E. J.
- Nature Communications, Vol. 11, Issue 1
Coexistence of Weyl fermion and massless triply degenerate nodal points
journal, October 2016
- Weng, Hongming; Fang, Chen; Fang, Zhong
- Physical Review B, Vol. 94, Issue 16
Gyrotropic Magnetic Effect and the Magnetic Moment on the Fermi Surface
journal, February 2016
- Zhong, Shudan; Moore, Joel E.; Souza, Ivo
- Physical Review Letters, Vol. 116, Issue 7
Colossal mid-infrared bulk photovoltaic effect in a type-I Weyl semimetal
journal, March 2019
- Osterhoudt, Gavin B.; Diebel, Laura K.; Gray, Mason J.
- Nature Materials, Vol. 18, Issue 5
Giant anisotropic nonlinear optical response in transition metal monopnictide Weyl semimetals
journal, December 2016
- Wu, Liang; Patankar, S.; Morimoto, T.
- Nature Physics, Vol. 13, Issue 4
Crystal growth and quantum oscillations in the topological chiral semimetal CoSi
journal, July 2019
- Xu, Xitong; Wang, Xirui; Cochran, Tyler A.
- Physical Review B, Vol. 100, Issue 4
Band structure and unconventional electronic topology of CoSi
journal, March 2018
- Pshenay-Severin, D. A.; Ivanov, Y. V.; Burkov, A. A.
- Journal of Physics: Condensed Matter, Vol. 30, Issue 13
Observation of Weyl nodes and Fermi arcs in tantalum phosphide
journal, March 2016
- Xu, N.; Weng, H. M.; Lv, B. Q.
- Nature Communications, Vol. 7, Issue 1
Two-Dimensional Conical Dispersion in Evidenced by Optical Spectroscopy
journal, May 2019
- Martino, E.; Crassee, I.; Eguchi, G.
- Physical Review Letters, Vol. 122, Issue 21
Optical conductivity of multifold fermions: The case of RhSi
journal, April 2020
- Maulana, L. Z.; Manna, K.; Uykur, E.
- Physical Review Research, Vol. 2, Issue 2
Direct optical detection of Weyl fermion chirality in a topological semimetal
journal, May 2017
- Ma, Qiong; Xu, Su-Yang; Chan, Ching-Kit
- Nature Physics, Vol. 13, Issue 9
Designed nonlocal pseudopotentials for enhanced transferability
journal, May 1999
- Ramer, Nicholas J.; Rappe, Andrew M.
- Physical Review B, Vol. 59, Issue 19
Weyl Semimetal in a Topological Insulator Multilayer
journal, September 2011
- Burkov, A. A.; Balents, Leon
- Physical Review Letters, Vol. 107, Issue 12
Double Dirac Semimetals in Three Dimensions
journal, May 2016
- Wieder, Benjamin J.; Kim, Youngkuk; Rappe, A. M.
- Physical Review Letters, Vol. 116, Issue 18
Discovery of a Weyl fermion semimetal and topological Fermi arcs
journal, July 2015
- Xu, S. -Y.; Belopolski, I.; Alidoust, N.
- Science, Vol. 349, Issue 6248
Technique for measuring the reflectance of irregular, submillimeter-sized samples
journal, January 1993
- Homes, Christopher C.; Reedyk, M.; Cradles, D. A.
- Applied Optics, Vol. 32, Issue 16
Chiral magnetic effect and natural optical activity in metals with or without Weyl points
journal, December 2015
- Ma, Jing; Pesin, D. A.
- Physical Review B, Vol. 92, Issue 23
Elastic, thermodynamic, and electronic properties of MnSi, FeSi, and CoSi
journal, October 2010
- Petrova, Alla E.; Krasnorussky, Vladimir N.; Shikov, Anatoly A.
- Physical Review B, Vol. 82, Issue 15
Chiral topological semimetal with multifold band crossings and long Fermi arcs
journal, May 2019
- Schröter, Niels B. M.; Pei, Ding; Vergniory, Maia G.
- Nature Physics, Vol. 15, Issue 8
Observation of three-component fermions in the topological semimetal molybdenum phosphide
journal, June 2017
- Lv, B. Q.; Feng, Z. -L.; Xu, Q. -N.
- Nature, Vol. 546, Issue 7660
Quantized circular photogalvanic effect in Weyl semimetals
journal, July 2017
- de Juan, Fernando; Grushin, Adolfo G.; Morimoto, Takahiro
- Nature Communications, Vol. 8, Issue 1
Dynamical conductivity in the multiply degenerate point-nodal semimetal CoSi
journal, December 2019
- Habe, Tetsuro
- Physical Review B, Vol. 100, Issue 24
Discovery of topological Weyl fermion lines and drumhead surface states in a room temperature magnet
journal, September 2019
- Belopolski, Ilya; Manna, Kaustuv; Sanchez, Daniel S.
- Science, Vol. 365, Issue 6459
Temperature-Driven Topological Phase Transition and Intermediate Dirac Semimetal Phase in
journal, October 2018
- Xu, B.; Zhao, L. X.; Marsik, P.
- Physical Review Letters, Vol. 121, Issue 18
Beyond Dirac and Weyl fermions: Unconventional quasiparticles in conventional crystals
journal, July 2016
- Bradlyn, Barry; Cano, Jennifer; Wang, Zhijun
- Science, Vol. 353, Issue 6299
Phase transition between the quantum spin Hall and insulator phases in 3D: emergence of a topological gapless phase
journal, September 2007
- Shuichi Murakami,
- New Journal of Physics, Vol. 9, Issue 9
Optimized pseudopotentials
journal, January 1990
- Rappe, Andrew M.; Rabe, Karin M.; Kaxiras, Efthimios
- Physical Review B, Vol. 41, Issue 2
Topological semimetal and Fermi-arc surface states in the electronic structure of pyrochlore iridates
journal, May 2011
- Wan, Xiangang; Turner, Ari M.; Vishwanath, Ashvin
- Physical Review B, Vol. 83, Issue 20
Observation of Chiral Fermions with a Large Topological Charge and Associated Fermi-Arc Surface States in CoSi
journal, February 2019
- Takane, Daichi; Wang, Zhiwei; Souma, Seigo
- Physical Review Letters, Vol. 122, Issue 7
Nexus fermions in topological symmorphic crystalline metals
journal, May 2017
- Chang, Guoqing; Xu, Su-Yang; Huang, Shin-Ming
- Scientific Reports, Vol. 7, Issue 1
Fine Structure Constant Defines Visual Transparency of Graphene
journal, June 2008
- Nair, R. R.; Blake, P.; Grigorenko, A. N.
- Science, Vol. 320, Issue 5881
A Weyl Fermion semimetal with surface Fermi arcs in the transition metal monopnictide TaAs class
journal, June 2015
- Huang, Shin-Ming; Xu, Su-Yang; Belopolski, Ilya
- Nature Communications, Vol. 6, Issue 1