Tunable discrete scale invariance in transition-metal pentatelluride flakes

Abstract

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. Our work clarifies the many-body effect on DSI and paves a way to tune the DSI in quantum materials.

arXiv commentAccepted by npj Quantum Materials

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• Anomalous magneto-thermoelectric behavior in massive Dirac materials
• Quantum spin Hall effect in two-dimensional transition-metal chalcogenides
• Discrete scale invariance of the quasi-bound states at atomic vacancies in a topological material
• Robust large-gap topological insulator phase in transition-metal chalcogenide ZrTe${}_4$Se