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

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

doi:10.1093/nsr/nwz110

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.

Highlights

Laboratory, Oak Ridge, TN further clarify the origin of the log-periodic oscillations and the Discrete-scale invariance (DSI) in the topological materials
With the violation of the classical continuous-scale symmetry, the DSI represents a scale anomaly and the characteristic of DSI in a solid-state system [14]. Such a peculiar DSI feature is considered to be universal in Dirac materials with Coulomb attraction [14], which may Academy of Quantum signature of DSI, the intriguing log-periodicity, be closely related to the quasi-bound states formed
The scale anomaly DSI is of high general interest while it can be rarely observed in quantum systems

Summary

Introduction

Laboratory, Oak Ridge, TN further clarify the origin of the log-periodic oscillations and the DSI in the topological materials. With the violation of the classical continuous-scale symmetry, the DSI represents a scale anomaly and the characteristic of DSI in a solid-state system [14]. Such a peculiar DSI feature is considered to be universal in Dirac materials with Coulomb attraction [14], which may Academy of Quantum signature of DSI, the intriguing log-periodicity, be closely related to the quasi-bound states formed. DSI features in different transport coefficients may provide insights into the underlying mechanisms. The DSI has Hf Te5 provides a promising platform [18,19,20,21,22,23,24,25,26,27,28,29,30,31,32]

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Results

Discussion

Conclusion