# Discovery of Log-Periodic Oscillations in Ultra-Quantum Topological Materials

## 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.

## Key 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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Source: https://tomesphere.com/paper/1704.00995