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Wyzula J, Lu X, Santos‐Cottin D, Mukherjee DK, Mohelský I, Le Mardelé F, Novák J, Novak M, Sankar R, Krupko Y, Piot BA, Lee W, Akrap A, Potemski M, Goerbig MO, Orlita M. Lorentz-Boost-Driven Magneto-Optics in a Dirac Nodal-Line Semimetal. ADVANCED SCIENCE (WEINHEIM, BADEN-WURTTEMBERG, GERMANY) 2022; 9:e2105720. [PMID: 35713280 PMCID: PMC9376811 DOI: 10.1002/advs.202105720] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [Grants] [Track Full Text] [Figures] [Subscribe] [Scholar Register] [Received: 12/09/2021] [Revised: 04/14/2022] [Indexed: 06/15/2023]
Abstract
Optical response of crystalline solids is to a large extent driven by excitations that promote electrons among individual bands. This allows one to apply optical and magneto-optical methods to determine experimentally the energy band gap -a fundamental property crucial to our understanding of any solid-with a great precision. Here it is shown that such conventional methods, applied with great success to many materials in the past, do not work in topological Dirac semimetals with a dispersive nodal line. There, the optically deduced band gap depends on how the magnetic field is oriented with respect to the crystal axes. Such highly unusual behavior is explained in terms of band-gap renormalization driven by Lorentz boosts which results from the Lorentz-covariant form of the Dirac Hamiltonian relevant for the nodal line at low energies.
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Affiliation(s)
- Jan Wyzula
- LNCMI‐CNRS UPR3228, Université Grenoble Alpes, Université Toulouse 3INSA ToulouseEMFL25 rue des Martyrs, BP166Grenoble Cedex 938042France
| | - Xin Lu
- Laboratoire de Physique des SolidesUniversité Paris SaclayCNRS UMR 8502Orsay Cedex91405France
| | - David Santos‐Cottin
- Department of PhysicsUniversity of FribourgChemin du Musée 3Fribourg1700Switzerland
| | - Dibya Kanti Mukherjee
- Laboratoire de Physique des SolidesUniversité Paris SaclayCNRS UMR 8502Orsay Cedex91405France
- Department of PhysicsIndiana UniversityBloomingtonIN47405USA
| | - Ivan Mohelský
- LNCMI‐CNRS UPR3228, Université Grenoble Alpes, Université Toulouse 3INSA ToulouseEMFL25 rue des Martyrs, BP166Grenoble Cedex 938042France
| | - Florian Le Mardelé
- Department of PhysicsUniversity of FribourgChemin du Musée 3Fribourg1700Switzerland
| | - Jiří Novák
- Department of Condensed Matter PhysicsMasaryk UniversityKotlářská 2611 37BrnoCzech Republic
| | - Mario Novak
- Department of PhysicsFaculty of ScienceUniversity of ZagrebZagreb10000Croatia
| | - Raman Sankar
- Institute of PhysicsAcademia SinicaNankangTaipei11529Taiwan
| | - Yuriy Krupko
- LNCMI‐CNRS UPR3228, Université Grenoble Alpes, Université Toulouse 3INSA ToulouseEMFL25 rue des Martyrs, BP166Grenoble Cedex 938042France
- Institut d'Electronique et des SystemesCNRS, UMR 5214, Université de MontpellierMontpellier34000France
| | - Benjamin A. Piot
- LNCMI‐CNRS UPR3228, Université Grenoble Alpes, Université Toulouse 3INSA ToulouseEMFL25 rue des Martyrs, BP166Grenoble Cedex 938042France
| | - Wei‐Li Lee
- Institute of PhysicsAcademia SinicaNankangTaipei11529Taiwan
| | - Ana Akrap
- Department of PhysicsUniversity of FribourgChemin du Musée 3Fribourg1700Switzerland
| | - Marek Potemski
- LNCMI‐CNRS UPR3228, Université Grenoble Alpes, Université Toulouse 3INSA ToulouseEMFL25 rue des Martyrs, BP166Grenoble Cedex 938042France
- Institute of Experimental PhysicsFaculty of PhysicsUniversity of Warsawul. Pasteura 5Warszawa02‐093Poland
| | - Mark O. Goerbig
- Laboratoire de Physique des SolidesUniversité Paris SaclayCNRS UMR 8502Orsay Cedex91405France
| | - Milan Orlita
- LNCMI‐CNRS UPR3228, Université Grenoble Alpes, Université Toulouse 3INSA ToulouseEMFL25 rue des Martyrs, BP166Grenoble Cedex 938042France
- Institute of PhysicsFaculty of Mathematics and PhysicsCharles UniversityKe Karlovu 5121 16Prague 2Czech Republic
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Polatkan S, Goerbig MO, Wyzula J, Kemmler R, Maulana LZ, Piot BA, Crassee I, Akrap A, Shekhar C, Felser C, Dressel M, Pronin AV, Orlita M. Magneto-Optics of a Weyl Semimetal beyond the Conical Band Approximation: Case Study of TaP. PHYSICAL REVIEW LETTERS 2020; 124:176402. [PMID: 32412257 DOI: 10.1103/physrevlett.124.176402] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 12/16/2019] [Accepted: 04/09/2020] [Indexed: 06/11/2023]
Abstract
Landau-level spectroscopy, the optical analysis of electrons in materials subject to a strong magnetic field, is a versatile probe of the electronic band structure and has been successfully used in the identification of novel states of matter such as Dirac electrons, topological materials or Weyl semimetals. The latter arise from a complex interplay between crystal symmetry, spin-orbit interaction, and inverse ordering of electronic bands. Here, we report on unusual Landau-level transitions in the monopnictide TaP that decrease in energy with increasing magnetic field. We show that these transitions arise naturally at intermediate energies in time-reversal-invariant Weyl semimetals where the Weyl nodes are formed by a partially gapped nodal-loop in the band structure. We propose a simple theoretical model for electronic bands in these Weyl materials that captures the collected magneto-optical data to great extent.
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Affiliation(s)
- S Polatkan
- 1. Physikalisches Institut, Universität Stuttgart, Pfaffenwaldring 57, 70569 Stuttgart, Germany
| | - M O Goerbig
- Laboratoire de Physique des Solides, Université Paris-Saclay, CNRS UMR 8502, 91405 Orsay Cedex, France
| | - J Wyzula
- Laboratoire National des Champs Magnétiques Intenses, CNRS-UGA-UPS-INSA-EMFL, 25 rue des Martyrs, 38042 Grenoble, France
| | - R Kemmler
- 1. Physikalisches Institut, Universität Stuttgart, Pfaffenwaldring 57, 70569 Stuttgart, Germany
| | - L Z Maulana
- 1. Physikalisches Institut, Universität Stuttgart, Pfaffenwaldring 57, 70569 Stuttgart, Germany
| | - B A Piot
- Laboratoire National des Champs Magnétiques Intenses, CNRS-UGA-UPS-INSA-EMFL, 25 rue des Martyrs, 38042 Grenoble, France
| | - I Crassee
- Laboratoire National des Champs Magnétiques Intenses, CNRS-UGA-UPS-INSA-EMFL, 25 rue des Martyrs, 38042 Grenoble, France
| | - A Akrap
- Department of Physics, University of Fribourg, Chemin du Musée 3, CH-1700 Fribourg, Switzerland
| | - C Shekhar
- Max Planck Institut für Chemische Physik fester Stoffe, 01187 Dresden, Germany
| | - C Felser
- Max Planck Institut für Chemische Physik fester Stoffe, 01187 Dresden, Germany
| | - M Dressel
- 1. Physikalisches Institut, Universität Stuttgart, Pfaffenwaldring 57, 70569 Stuttgart, Germany
| | - A V Pronin
- 1. Physikalisches Institut, Universität Stuttgart, Pfaffenwaldring 57, 70569 Stuttgart, Germany
| | - M Orlita
- Laboratoire National des Champs Magnétiques Intenses, CNRS-UGA-UPS-INSA-EMFL, 25 rue des Martyrs, 38042 Grenoble, France
- Charles University, Faculty of Mathematics and Physics, Institute of Physics, Ke Karlovu 5, 121 16 Prague 2, Czech Republic
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Jiang Y, Dun Z, Moon S, Zhou H, Koshino M, Smirnov D, Jiang Z. Landau Quantization in Coupled Weyl Points: A Case Study of Semimetal NbP. NANO LETTERS 2018; 18:7726-7731. [PMID: 30403143 DOI: 10.1021/acs.nanolett.8b03418] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 06/08/2023]
Abstract
Weyl semimetal (WSM) is a newly discovered quantum phase of matter that exhibits topologically protected states characterized by two separated Weyl points with linear dispersion in all directions. Here, via combining theoretical analysis and magneto-infrared spectroscopy of an archetypal Weyl semimetal, niobium phosphide, we demonstrate that the coupling between Weyl points can significantly modify the electronic structure of a WSM and provide a new twist to the protected states. These findings suggest that the coupled Weyl points should be considered as the basis for analysis of realistic WSMs.
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Affiliation(s)
- Yuxuan Jiang
- School of Physics , Georgia Institute of Technology , Atlanta , Georgia 30332 , United States
- National High Magnetic Field Laboratory , Tallahassee , Florida 32310 , United States
| | - Zhiling Dun
- School of Physics , Georgia Institute of Technology , Atlanta , Georgia 30332 , United States
- Department of Physics and Astronomy , University of Tennessee , Knoxville , Tennessee 37996 , United States
| | - Seongphill Moon
- National High Magnetic Field Laboratory , Tallahassee , Florida 32310 , United States
- Department of Physics , Florida State University , Tallahassee , Florida 32306 , United States
| | - Haidong Zhou
- Department of Physics and Astronomy , University of Tennessee , Knoxville , Tennessee 37996 , United States
| | - Mikito Koshino
- Department of Physics , Osaka University , Toyonaka 560-0043 , Japan
| | - Dmitry Smirnov
- National High Magnetic Field Laboratory , Tallahassee , Florida 32310 , United States
| | - Zhigang Jiang
- School of Physics , Georgia Institute of Technology , Atlanta , Georgia 30332 , United States
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Neugebauer P, Bloos D, Marx R, Lutz P, Kern M, Aguilà D, Vaverka J, Laguta O, Dietrich C, Clérac R, van Slageren J. Ultra-broadband EPR spectroscopy in field and frequency domains. Phys Chem Chem Phys 2018; 20:15528-15534. [DOI: 10.1039/c7cp07443c] [Citation(s) in RCA: 38] [Impact Index Per Article: 6.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/21/2022]
Abstract
Electron paramagnetic resonance (EPR) is a powerful technique to investigate the electronic and magnetic properties of a wide range of materials.
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