- Letter
- Open Access
Fermi surface and nested magnetic breakdown in
Phys. Rev. Research 4, L012005 – Published 18 January, 2022
DOI: https://doi.org/10.1103/PhysRevResearch.4.L012005
Abstract
We report a detailed Shubnikov-de Haas (SdH) study on the Weyl type-II semimetal in magnetic fields up to 29 T. By using the SdH results to guide our density functional theory calculations, we are able to accurately determine its Fermi surface by employing a moderate Hubbard term, which is an essential step in explaining the unusual electronic properties of this much studied material. In addition to the fundamental orbits, we observe magnetic breakdown, which can consistently be explained within the model of a Russian-doll nested Fermi surface of electron and hole pockets. The onset of magnetic breakdown in is solely determined by impurity damping in contrast to magnetic breakdown scenarios in other metallic systems.
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References (35)
- X.-C. Pan, X. Wang, F. Song, and B. Wang, The study on quantum material , Adv. Phys. X 3, 1468279 (2018).
- A. Soluyanov, D. Gresch, Z. Wang, Q. S. Wu, M. Troyer, X. Dai, and B. A. Bernevig, Type-II Weyl semimetals, Nature (London) 527, 495 (2015).
- N. P. Armitage, E. J. Mele, and A. Vishwanath, Weyl and Dirac semimetals in three-dimensional solids, Rev. Mod. Phys. 90, 015001 (2018).
- M. Ali, J. Xiong, S. Flynn, J. Tao, Q. D. Gibson, L. M. Schoop, T. Liang, N. Haldolaarachchige, M. Hirschberger, N. P. Ong, and R. J. Cava, Large, non-saturating magnetoresistance in , Nature (London) 514, 205 (2014).
- S. Wu, V. Fatemi, Q. D. Gibson, K. Watanabe, T. Taniguchi, R. J. Cava, and P. Jarillo-Herrero, Observation of the quantum spin Hall effect up to 100 Kelvin in a monolayer crystal, Science 359, 76 (2018).
- E. Sajadi, T. Palomaki, Z. Fei, W. Zhao, P. Bement, C. Olsen, S. A. Luescher, X. Xu, J. A. Folk, and D. H. Cobden, Gate-induced superconductivity in a monolayer topological insulator, Science 362, 922 (2018).
- Z. Fei, W. Zhao, T. A. Palomaki, B. Sun, M. K. Miller, Z. Zhao, J. Yan, X. Xu, and D. H. Cobden, Ferroelectric switching of a two-dimensional metal, Nature (London) 560, 336 (2018).
- I. Pletikosić, M. N. Ali, A. V. Fedorov, R. J. Cava, and T. Valla, Electronic Structure Basis for the Extraordinary Magnetoresistance in , Phys. Rev. Lett. 113, 216601 (2014).
- J. Jiang, F. Tang, X. C. Pan, H. M. Liu, X. H. Niu, Y. X. Wang, D. F. Xu, H. F. Yang, B. P. Xie, F. Q. Song, P. Dudin, T. K. Kim, M. Hoesch, P. K. Das, I. Vobornik, X. G. Wan, and D. L. Feng, Signature of Strong Spin-Orbital Coupling in the Large Nonsaturating Magnetoresistance Material , Phys. Rev. Lett. 115, 166601 (2015).
- Y. Wu, N. H. Jo, M. Ochi, L. Huang, D. Mou, S. L. Bud'ko, P. C. Canfield, N. Trivedi, R. Arita, and A. Kaminski, Temperature-Induced Lifshitz Transition in , Phys. Rev. Lett. 115, 166602 (2015).
- Y. Wu, D. Mou, N. H. Jo, K. Sun, L. Huang, S. L. Bud'ko, P. C. Canfield, and A. Kaminski, Observation of Fermi arcs in the type-II Weyl semimetal candidate , Phys. Rev. B 94, 121113(R) (2016).
- C. Wang, Y. Zhang, J. Huang, S. Nie, G. Liu, A. Liang, Y. Zhang, B. Shen, J. Liu, C. Hu, Y. Ding, D. Liu, Y. Hu, S. He, L. Zhao, L. Yu, J. Hu, J. Wei, Z. Mao, Y. Shi et al., Observation of Fermi arc and its connection with bulk states in the candidate type-II Weyl semimetal , Phys. Rev. B 94, 241119(R) (2016).
- D. Di Sante, P. K. Das, C. Bigi, Z. Ergönenc, N. Gürtler, J. A. Krieger, T. Schmitt, M. N. Ali, G. Rossi, R. Thomale, C. Franchini, S. Picozzi, J. Fujii, V. N. Strocov, G. Sangiovanni, I. Vobornik, R. J. Cava, and G. Panaccione, Three-Dimensional Electronic Structure of the Type-II Weyl Semimetal , Phys. Rev. Lett. 119, 026403 (2017).
- Y. Wu, N. H. Jo, D. Mou, L. Huang, S. L. Bud'ko, P. C. Canfield, and A. Kaminski, Three-dimensionality of the bulk electronic structure in , Phys. Rev. B 95, 195138 (2017).
- P. K. Das, D. Di Sante, F. Cilento, C. Bigi, D. Kopic, D. Soranzio, A. Sterzi, J. A. Krieger, I. Vobornik, J. Fujii, T. Okuda, V. N. Strocov, M. B. H. Breese, F. Parmigiani, G. Rossi, S. Picozzi, R. Thomale, G. Sangiovanni, R. J. Cava, and G. Panaccione, Electronic properties of candidate type-II Weyl semimetal . A review perspective, Electron. Struct. 1, 014003 (2019).
- Z. Zhu, X. Lin, J. Liu, B. Fauqué, Q. Tao, C. Yang, Y. Shi, and K. Behnia, Quantum Oscillations, Thermoelectric Coefficients, and the Fermi Surface of Semimetallic , Phys. Rev. Lett. 114, 176601 (2015).
- P. L. Cai, J. Hu, L. P. He, J. Pan, X. C. Hong, Z. Zhang, J. Zhang, J. Wei, Z. Q. Mao, and S. Y. Li, Drastic Pressure Effect on the Extremely Large Magnetoresistance in : Quantum Oscillation Study, Phys. Rev. Lett. 115, 057202 (2015).
- D. Rhodes, S. Das, Q. R. Zhang, B. Zeng, N. R. Pradhan, N. Kikugawa, E. Manousakis, and L. Balicas, Role of spin-orbit coupling and evolution of the electronic structure of WTe2 under an external magnetic field, Phys. Rev. B 92, 125152 (2015).
- X. C. Pan, Xu. Chen, H. Liu, Y. Feng, Z. Wei, Y. Zhou, Z. Chi, L. Pi, F. Yen, F. Song, X. Wan, Z. Yang, B. Wang, G. Wang, and Y. Zhang, Pressure-driven dome-shaped superconductivity and electronic structural evolution in tungsten ditelluride, Nat. Commun. 6, 7805 (2015).
- K. G. Rana, F. K. Dejene, N. Kumar, C. R. Rajamathi, K. Sklarek, C. Felser, and S. S. P. Parkin, Thermopower and unconventional nernst effect in the predicted Type-II weyl semimetal , Nano Lett. 18, 6591 (2018).
- S. Onishi, R. Jha, A. Miyake, R. Higashinaka, T. D. Matsuda, M. Tokunaga, and Y. Aoki, Deviation from the Kohler's rule and Shubnikov-de Haas oscillations in type-II Weyl semimetal : High magnetic field study up to 56 T, AIP Adv. 8, 101330 (2018).
- N. H. Jo, L.-L. Wang, P. P. Orth, S. L. Bud'ko, and P. C. Canfield, Magnetoelastoresistance in : Exploring electronic structure and extremely large magnetoresistance under strain, Proc. Natl. Acad. Sci. USA 116, 25524 (2019).
- T. E. O'Brien, M. Diez, and C. W. J. Beenakker, Magnetic Breakdown and Klein Tunneling in a Type-II Weyl Semimetal, Phys. Rev. Lett. 116, 236401 (2016).
- M. I. Kaganov, and A. A. Slutskin, Coherent magnetic breakdown, Phys. Rep. 98, 189 (1983).
- See Supplemental Material at http://link.aps.org/supplemental/10.1103/PhysRevResearch.4.L012005 for details on the assignment of individual pockets of the Fermi surface, DFT band-structure calculations, mass determination, and magnetic breakdown in the nested Russian-doll configuration.
- D. Shoenberg, Magnetic Oscillations in Metals (Cambridge University Press, Cambridge, 1984).
- L. R. Thoutam, Y. L. Wang, Z. L. Xiao, S. Das, A. Luican-Mayer, R. Divan, G. W. Crabtree, and W. K. Kwok, Temperature-Dependent Three-Dimensional Anisotropy of the Magnetoresistance in , Phys. Rev. Lett. 115, 046602 (2015).
- S. Pezzini, M. R. van Delft, L. M. Schoop, B. V. Lotsch, A. Carrington, M. I. Katsnelson, N. E. Hussey, and S. Wiedmann, Unconventional mass enhancement around the Dirac nodal loop in ZrSiS, Nat. Phys. 14, 178 (2018).
- M. R. van Delft, S. Pezzini, T. Khouri, C. S. A. Müller, M. Breitkreiz, L. M. Schoop, A. Carrington, N. E. Hussey, and S. Wiedmann, Electron-Hole Tunneling Revealed by Quantum Oscillations in the Nodal-Line Semimetal HfSiS, Phys. Rev. Lett. 121, 256602 (2018).
- C. S. A. Müller, T. Khouri, M. R. van Delft, S. Pezzini, Y.-T. Hsu, J. Ayres, M. Breitkreiz, L. M. Schoop, A. Carrington, N. E. Hussey, and S. Wiedmann, Determination of the Fermi surface and field-induced quasiparticle tunneling around the Dirac nodal loop in ZrSiS, Phys. Rev. Research 2, 023217 (2020).
- P. Blaha, K. Schwarz, G. K. H. Madsen, D. Kvasnicka, and J. Luitz, WIEN2k (Karlheinz Schwarz, Techn. Universität Wien, Austria, 2001).
- J. P. Perdew, K. Burke, and M. Ernzerhof, Generalized Gradient Approximation Made Simple, Phys. Rev. Lett. 77, 3865 (1996).
- A. Mar, S. Jobic, and J. A. Ibers, Metal-metal vs tellurium-tellurium bonding in and its ternary variants and , J. Am. Chem. Soc. 114, 8963 (1992).
- N. Aryal and E. Manousakis, Imporance of electron correlations in understanding photoelectron spectroscopy and Weyl character of , Phys. Rev. B 99, 035123 (2019).
- Y. J. Hu, W. C. Yu, K. To Lai, D. Sun, F. F. Balakirev, W. Zhang, J. Y. Xie, K. Y. Yip, E. I. Paredes Aulestia, R. Jha, R. Higashinaka, T. D. Matsuda, Y. Yanase, Y. Aoki, and S. K. Goh, Detection of Hole Pockets in the Candidate Type-II Weyl Semimetal from Shubnikov-de Haas Quantum Oscillations, Phys. Rev. Lett. 124, 076402 (2020).