Log-periodic quantum magneto-oscillations and discrete-scale invariance in topological material HfTe5

Huichao Wang; Yanzhao Liu; Yongjie Liu; Chuanying Xi; Junfeng Wang; Jun Liu; Yong Wang; Liang Li; Shu Ping Lau; Mingliang Tian; Jiaqiang Yan; David Mandrus; Ji Yan Dai; Haiwen Liu; Xincheng Xie; Jian Wang

doi:10.1093/nsr/nwz110

Log-periodic quantum magneto-oscillations and discrete-scale invariance in topological material HfTe₅

Huichao Wang
, Yanzhao Liu
, Yongjie Liu
, Chuanying Xi
, Junfeng Wang
, Jun Liu
, Yong Wang
, Liang Li
, Shu Ping Lau
, Mingliang Tian
, Jiaqiang Yan
, David Mandrus
, Ji Yan Dai
, Haiwen Liu
, Xincheng Xie
, Jian Wang

Correlated Electron Materials

Research output: Contribution to journal › Article › peer-review

18 Scopus citations

Abstract

Discrete-scale invariance (DSI) is a phenomenon featuring intriguing log-periodicity that can be rarely observed in quantum systems. Here, we report the log-periodic quantum oscillations in the longitudinal magnetoresistivity (ρ_xx) and the Hall traces (ρ_yx) of HfTe₅ crystals, which reveal the DSI in the transport-coefficients matrix. The oscillations in ρ_xx and ρ_yx show the consistent logB-periodicity with a phase shift. The finding of the logB oscillations in the Hall resistance supports the physical mechanism as a general quantum effect originating from the resonant scattering. Combined with theoretical simulations, we further clarify the origin of the log-periodic oscillations and the DSI in the topological materials. This work evidences the universality of the DSI in the Dirac materials and provides indispensable information for a full understanding of this novel phenomenon.

Original language	English
Pages (from-to)	914-920
Number of pages	7
Journal	National Science Review
Volume	6
Issue number	5
DOIs	https://doi.org/10.1093/nsr/nwz110
State	Published - Oct 1 2019

Funding

This work was financially supported by National Key Research and Development Program of China (2018YFA0305604, 2017YFA0303300, 2015CB921102, 2017YFA0304600), the National Natural Science Foundation of China (11888101, 11774008, 11674028, 11534001, 11504008), the Strategic Priority Research Program of Chinese Academy of Sciences (XDB28000000), the Beijing Natural Science Foundation (Z180010), the Fundamental Research Funds for the Central Universities, Hong Kong GRF Grant (153094/16P), the Hong Kong Polytechnic University Strategic Plan (1-ZE25 and 1-ZVCG) and the Postdoctoral Fellowships Scheme (1-YW0T). Work at ORNL was supported by the US Department of Energy, Office of Science, Basic Energy Sciences, Division of Materials Sciences and Engineering.

Keywords

Dirac materials
Hall resistance
discrete-scale invariance
log-periodic oscillations
magnetoresistance
topological materials

Access to Document

10.1093/nsr/nwz110

Cite this

@article{9443763fbb5947faba05feac547837c6,

title = "Log-periodic quantum magneto-oscillations and discrete-scale invariance in topological material HfTe5",

abstract = "Discrete-scale invariance (DSI) is a phenomenon featuring intriguing log-periodicity that can be rarely observed in quantum systems. Here, we report the log-periodic quantum oscillations in the longitudinal magnetoresistivity (ρxx) and the Hall traces (ρyx) of HfTe5 crystals, which reveal the DSI in the transport-coefficients matrix. The oscillations in ρxx and ρyx show the consistent logB-periodicity with a phase shift. The finding of the logB oscillations in the Hall resistance supports the physical mechanism as a general quantum effect originating from the resonant scattering. Combined with theoretical simulations, we further clarify the origin of the log-periodic oscillations and the DSI in the topological materials. This work evidences the universality of the DSI in the Dirac materials and provides indispensable information for a full understanding of this novel phenomenon.",

keywords = "Dirac materials, Hall resistance, discrete-scale invariance, log-periodic oscillations, magnetoresistance, topological materials",

author = "Huichao Wang and Yanzhao Liu and Yongjie Liu and Chuanying Xi and Junfeng Wang and Jun Liu and Yong Wang and Liang Li and Lau, \{Shu Ping\} and Mingliang Tian and Jiaqiang Yan and David Mandrus and Dai, \{Ji Yan\} and Haiwen Liu and Xincheng Xie and Jian Wang",

note = "Publisher Copyright: {\textcopyright} 2019 The Author(s) 2019. Published by Oxford University Press on behalf of China Science Publishing \& Media Ltd.",

year = "2019",

month = oct,

day = "1",

doi = "10.1093/nsr/nwz110",

language = "English",

volume = "6",

pages = "914--920",

journal = "National Science Review",

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T1 - Log-periodic quantum magneto-oscillations and discrete-scale invariance in topological material HfTe5

AU - Wang, Huichao

AU - Liu, Yanzhao

AU - Liu, Yongjie

AU - Xi, Chuanying

AU - Wang, Junfeng

AU - Liu, Jun

AU - Wang, Yong

AU - Li, Liang

AU - Lau, Shu Ping

AU - Tian, Mingliang

AU - Yan, Jiaqiang

AU - Mandrus, David

AU - Dai, Ji Yan

AU - Liu, Haiwen

AU - Xie, Xincheng

AU - Wang, Jian

PY - 2019/10/1

Y1 - 2019/10/1

N2 - Discrete-scale invariance (DSI) is a phenomenon featuring intriguing log-periodicity that can be rarely observed in quantum systems. Here, we report the log-periodic quantum oscillations in the longitudinal magnetoresistivity (ρxx) and the Hall traces (ρyx) of HfTe5 crystals, which reveal the DSI in the transport-coefficients matrix. The oscillations in ρxx and ρyx show the consistent logB-periodicity with a phase shift. The finding of the logB oscillations in the Hall resistance supports the physical mechanism as a general quantum effect originating from the resonant scattering. Combined with theoretical simulations, we further clarify the origin of the log-periodic oscillations and the DSI in the topological materials. This work evidences the universality of the DSI in the Dirac materials and provides indispensable information for a full understanding of this novel phenomenon.

AB - Discrete-scale invariance (DSI) is a phenomenon featuring intriguing log-periodicity that can be rarely observed in quantum systems. Here, we report the log-periodic quantum oscillations in the longitudinal magnetoresistivity (ρxx) and the Hall traces (ρyx) of HfTe5 crystals, which reveal the DSI in the transport-coefficients matrix. The oscillations in ρxx and ρyx show the consistent logB-periodicity with a phase shift. The finding of the logB oscillations in the Hall resistance supports the physical mechanism as a general quantum effect originating from the resonant scattering. Combined with theoretical simulations, we further clarify the origin of the log-periodic oscillations and the DSI in the topological materials. This work evidences the universality of the DSI in the Dirac materials and provides indispensable information for a full understanding of this novel phenomenon.

KW - Dirac materials

KW - Hall resistance

KW - discrete-scale invariance

KW - log-periodic oscillations

KW - magnetoresistance

KW - topological materials

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