Tunable discrete scale invariance in transition-metal pentatelluride flakes

Liu, Yanzhao; Wang, Huichao; Zhu, Haipeng; Li, Yanan; Ge, Jun; Wang, Junfeng; Li, Liang; Dai, Ji-Yan; Yan, Jiaqiang; Mandrus, David; Joynt, Robert; Wang, Jian

doi:10.1038/s41535-020-00290-6

Title: Tunable discrete scale invariance in transition-metal pentatelluride flakes

Journal Article · 04 December 2020 · npj Quantum Materials

DOI: https://doi.org/10.1038/s41535-020-00290-6 · OSTI ID:1756231

Liu, Yanzhao ^[1]; Wang, Huichao ^[2]; Zhu, Haipeng ^[3]; Li, Yanan ^[1]; Ge, Jun ^[1]; Wang, Junfeng ^[3]; Li, Liang ^[3];

^[4]; Yan, Jiaqiang ^[5]; Mandrus, David ^[6]; Joynt, Robert ^[7];

^[8]

Peking Univ., Beijing (China)
Sun Yat-Sen Univ., Guangzhou (China)
Huazhong Univ. of Science and Technology, Wuhan (China)
Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States); Hong Kong Polytechnic Univ. (China)
Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States)
Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States); Univ. of Tennessee, Knoxville, TN (United States)
Chinese Academy of Sciences (CAS), Beijing (China); Univ. of Wisconsin, Madison, WI (United States)
Peking Univ., Beijing (China); Univ. of Chinese Academy of Sciences, Beijing (China); Beijing Academy of Quantum Information Sciences (China)

Log-periodic quantum oscillations discovered in transition-metal pentatelluride give a clear demonstration of discrete scale invariance (DSI) in solid-state materials. The peculiar phenomenon is convincingly interpreted as the presence of two-body quasi-bound states in a Coulomb potential. However, the modifications of the Coulomb interactions in many-body systems having a Dirac-like spectrum are not fully understood. Here, we report the observation of tunable log-periodic oscillations and DSI in ZrTe₅ and HfTe₅ flakes. By reducing the flakes thickness, the characteristic scale factor is tuned to a much smaller value due to the reduction of the vacuum polarization effect. The decreasing of the scale factor demonstrates the many-body effect on the DSI, which has rarely been discussed hitherto. Furthermore, the cut-offs of oscillations are quantitatively explained by considering the Thomas-Fermi screening effect. Finally, our work clarifies the many-body effect on DSI and paves a way to tune the DSI in quantum materials.

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Research Organization:: Oak Ridge National Laboratory (ORNL), Oak Ridge, TN (United States)

Sponsoring Organization:: USDOE Office of Science (SC), Basic Energy Sciences (BES). Materials Sciences & Engineering Division; National Key Research and Development Program of China; National Natural Science Foundation of China (NNSFC); Beijing Natural Science Foundation; Chinese Academy of Sciences (CAS)

Grant/Contract Number:: AC05-00OR22725

OSTI ID:: 1756231

Journal Information:: npj Quantum Materials, Journal Name: npj Quantum Materials Journal Issue: 1 Vol. 5; ISSN 2397-4648

Publisher:: Nature Publishing GroupCopyright Statement

Country of Publication:: United States

Language:: English

References (36)

Efimov effect in Dirac semi-metals Zhang, Pengfei; Zhai, Hui Frontiers of Physics, Vol. 13, Issue 5 https://doi.org/10.1007/s11467-018-0800-4	journal	June 2018
Energy levels arising from resonant two-body forces in a three-body system Efimov, V. Physics Letters B, Vol. 33, Issue 8 https://doi.org/10.1016/0370-2693(70)90349-7	journal	December 1970
Discrete-scale invariance and complex dimensions Sornette, Didier Physics Reports, Vol. 297, Issue 5 https://doi.org/10.1016/S0370-1573(97)00076-8	journal	April 1998
Spectroscopic evidence for the gapless electronic structure in bulk ZrTe 5 Shen, L.; Wang, M. X.; Sun, S. C. Journal of Electron Spectroscopy and Related Phenomena, Vol. 219 https://doi.org/10.1016/j.elspec.2016.10.007	journal	August 2017
Universality in few-body systems with large scattering length Braaten, Eric; Hammer, H. -W. Physics Reports, Vol. 428, Issue 5-6 https://doi.org/10.1016/j.physrep.2006.03.001	journal	June 2006
Evidence for Efimov quantum states in an ultracold gas of caesium atoms Kraemer, T.; Mark, M.; Waldburger, P. Nature, Vol. 440, Issue 7082 https://doi.org/10.1038/nature04626	journal	March 2006
Zeeman splitting and dynamical mass generation in Dirac semimetal ZrTe5 Liu, Yanwen; Yuan, Xiang; Zhang, Cheng Nature Communications, Vol. 7, Issue 1 https://doi.org/10.1038/ncomms12516	journal	August 2016
Electronic evidence of temperature-induced Lifshitz transition and topological nature in ZrTe5 Zhang, Yan; Wang, Chenlu; Yu, Li Nature Communications, Vol. 8, Issue 1 https://doi.org/10.1038/ncomms15512	journal	May 2017
Chiral magnetic effect in ZrTe5 Li, Qiang; Kharzeev, Dmitri E.; Zhang, Cheng Nature Physics, Vol. 12, Issue 6 https://doi.org/10.1038/nphys3648	journal	February 2016
Observing a scale anomaly and a universal quantum phase transition in graphene Ovdat, O.; Mao, Jinhai; Jiang, Yuhang Nature Communications, Vol. 8, Issue 1 https://doi.org/10.1038/s41467-017-00591-8	journal	September 2017
Anomalous Hall effect in ZrTe5 Liang, Tian; Lin, Jingjing; Gibson, Quinn Nature Physics, Vol. 14, Issue 5 https://doi.org/10.1038/s41567-018-0078-z	journal	March 2018
Three-dimensional quantum Hall effect and metal–insulator transition in ZrTe5 Tang, Fangdong; Ren, Yafei; Wang, Peipei Nature, Vol. 569, Issue 7757 https://doi.org/10.1038/s41586-019-1180-9	journal	May 2019
Superconductivity in HfTe5 across weak to strong topological insulator transition induced via pressures Liu, Y.; Long, Y. J.; Zhao, L. X. Scientific Reports, Vol. 7, Issue 1 https://doi.org/10.1038/srep44367	journal	March 2017
Transition between strong and weak topological insulator in ZrTe5 and HfTe5 Fan, Zongjian; Liang, Qi-Feng; Chen, Y. B. Scientific Reports, Vol. 7, Issue 1 https://doi.org/10.1038/srep45667	journal	April 2017
Pressure-induced superconductivity in a three-dimensional topological material ZrTe ₅ Zhou, Yonghui; Wu, Juefei; Ning, Wei Proceedings of the National Academy of Sciences, Vol. 113, Issue 11 https://doi.org/10.1073/pnas.1601262113	journal	February 2016
Magnetotransport signatures of Weyl physics and discrete scale invariance in the elemental semiconductor tellurium Zhang, Nan; Zhao, Gan; Li, Lin Proceedings of the National Academy of Sciences, Vol. 117, Issue 21 https://doi.org/10.1073/pnas.2002913117	journal	May 2020
Unconventional Hall effect induced by Berry curvature Ge, Jun; Ma, Da; Liu, Yanzhao National Science Review, Vol. 7, Issue 12 https://doi.org/10.1093/nsr/nwaa163	journal	July 2020
Log-periodic quantum magneto-oscillations and discrete-scale invariance in topological material HfTe5 Wang, Huichao; Liu, Yanzhao; Liu, Yongjie National Science Review, Vol. 6, Issue 5 https://doi.org/10.1093/nsr/nwz110	journal	August 2019
Nonlinear screening of charge impurities in graphene Katsnelson, M. I. Physical Review B, Vol. 74, Issue 20 https://doi.org/10.1103/PhysRevB.74.201401	journal	November 2006
Vacuum polarization of graphene with a supercritical Coulomb impurity: Low-energy universality and discrete scale invariance Nishida, Yusuke Physical Review B, Vol. 90, Issue 16 https://doi.org/10.1103/PhysRevB.90.165414	journal	October 2014
Transport evidence for the three-dimensional Dirac semimetal phase in ZrT e 5 Zheng, Guolin; Lu, Jianwei; Zhu, Xiangde Physical Review B, Vol. 93, Issue 11 https://doi.org/10.1103/PhysRevB.93.115414	journal	March 2016
Chiral anomaly and ultrahigh mobility in crystalline HfT e 5 Wang, Huichao; Li, Chao-Kai; Liu, Haiwen Physical Review B, Vol. 93, Issue 16 https://doi.org/10.1103/PhysRevB.93.165127	journal	April 2016
Pressure-driven superconductivity in the transition-metal pentatelluride HfT e 5 Qi, Yanpeng; Shi, Wujun; Naumov, Pavel G. Physical Review B, Vol. 94, Issue 5 https://doi.org/10.1103/PhysRevB.94.054517	journal	August 2016
Electrical transport in nanothick ZrTe 5 sheets: From three to two dimensions Niu, Jingjing; Wang, Jingyue; He, Zhijie Physical Review B, Vol. 95, Issue 3 https://doi.org/10.1103/PhysRevB.95.035420	journal	January 2017
Field-induced topological phase transition from a three-dimensional Weyl semimetal to a two-dimensional massive Dirac metal in ZrT e 5 Zheng, Guolin; Zhu, Xiangde; Liu, Yequn Physical Review B, Vol. 96, Issue 12 https://doi.org/10.1103/PhysRevB.96.121401	journal	September 2017
Observation of the Second Triatomic Resonance in Efimov’s Scenario Huang, Bo; Sidorenkov, Leonid A.; Grimm, Rudolf Physical Review Letters, Vol. 112, Issue 19 https://doi.org/10.1103/PhysRevLett.112.190401	journal	May 2014
Observation of Efimov Resonances in a Mixture with Extreme Mass Imbalance Pires, R.; Ulmanis, J.; Häfner, S. Physical Review Letters, Vol. 112, Issue 25 https://doi.org/10.1103/PhysRevLett.112.250404	journal	June 2014
Geometric Scaling of Efimov States in a Li 6 − Cs 133 Mixture Tung, Shih-Kuang; Jiménez-García, Karina; Johansen, Jacob Physical Review Letters, Vol. 113, Issue 24 https://doi.org/10.1103/PhysRevLett.113.240402	journal	December 2014
Magnetoinfrared Spectroscopy of Landau Levels and Zeeman Splitting of Three-Dimensional Massless Dirac Fermions in ZrTe 5 Chen, R. Y.; Chen, Z. G.; Song, X. -Y. Physical Review Letters, Vol. 115, Issue 17 https://doi.org/10.1103/PhysRevLett.115.176404	journal	October 2015
Experimental Observation of Topological Edge States at the Surface Step Edge of the Topological Insulator ZrTe 5 Li, Xiang-Bing; Huang, Wen-Kai; Lv, Yang-Yang Physical Review Letters, Vol. 116, Issue 17 https://doi.org/10.1103/PhysRevLett.116.176803	journal	April 2016
Evidence for a Strong Topological Insulator Phase in ZrTe 5 Manzoni, G.; Gragnaniello, L.; Autès, G. Physical Review Letters, Vol. 117, Issue 23 https://doi.org/10.1103/PhysRevLett.117.237601	journal	November 2016
Vacuum Polarization and Screening of Supercritical Impurities in Graphene Shytov, A. V.; Katsnelson, M. I.; Levitov, L. S. Physical Review Letters, Vol. 99, Issue 23 https://doi.org/10.1103/PhysRevLett.99.236801	journal	December 2007
Atomic Collapse and Quasi–Rydberg States in Graphene Shytov, A. V.; Katsnelson, M. I.; Levitov, L. S. Physical Review Letters, Vol. 99, Issue 24 https://doi.org/10.1103/PhysRevLett.99.246802	journal	December 2007
Electron-Electron Interactions in Graphene: Current Status and Perspectives Kotov, Valeri N.; Uchoa, Bruno; Pereira, Vitor M. Reviews of Modern Physics, Vol. 84, Issue 3 https://doi.org/10.1103/RevModPhys.84.1067	journal	July 2012
Discovery of log-periodic oscillations in ultraquantum topological materials Wang, Huichao; Liu, Haiwen; Li, Yanan Science Advances, Vol. 4, Issue 11 https://doi.org/10.1126/sciadv.aau5096	journal	November 2018
Giant Resistivity Anomaly in ZrTe ₅ Okada, Shigeto; Sambongi, Takashi; Ido, Masayuki Journal of the Physical Society of Japan, Vol. 49, Issue 2 https://doi.org/10.1143/JPSJ.49.839	journal	August 1980

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