Discovery of Log-Periodic Oscillations in Ultra-Quantum Topological Materials
Huichao Wang, Haiwen Liu, Yanan Li, Yongjie Liu, Junfeng Wang, Jun, Liu, Jiyan Dai, Yong Wang, Liang Li, Jiaqiang Yan, David Mandrus, X. C. Xie,, Jian Wang

TL;DR
This paper reports the discovery of log-periodic quantum oscillations in ultra-quantum topological materials, revealing discrete scale invariance and offering new insights into their ground state properties.
Contribution
It introduces the observation of log-periodic oscillations in ZrTe5 and links them to two-body quasi-bound states, advancing understanding of topological materials beyond the quantum limit.
Findings
Log-periodic oscillations observed in magnetoresistance of ZrTe5
Up to five oscillation cycles detected beyond the quantum limit
Theoretical analysis attributes oscillations to two-body quasi-bound states
Abstract
Quantum oscillations are usually the manifestation of the underlying physical nature in condensed matter systems. Here we report a new type of log-periodic quantum oscillations in ultra-quantum three-dimensional topological materials. Beyond the quantum limit (QL), the log-periodic oscillations involving up to five oscillating cycles (5 peaks and 5 dips) are observed on the magnetoresistance (MR) of high quality single-crystal ZrTe5, virtually showing the clearest feature of discrete scale invariance (DSI). Further theoretical analyses show that the two-body quasi-bound states can be responsible for the DSI feature. Our work provides a new perspective on the ground state of topological materials beyond the QL.
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