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

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.

References in corpus (16)

• Topological origin of subgap conductance in insulating bilayer graphene
• Two-dimensional Dirac fermions in a topological insulator: transport in the quantum limit
• Efimov Physics: a review
• Topological Semimetals Predicted from First-principles Calculations
• Anomalous Hall Effect in ZrTe5
• Atomic Collapse and Quasi-Rydberg States in Graphene
• Observation of Efimov Resonances in a Mixture with Extreme Mass Imbalance
• Transport evidence for the three-dimensional Dirac semimetal phase in ZrTe5
• Signatures of Electron Fractionalization in Ultraquantum Bismuth
• Transition between strong and weak topological insulator in ZrTe${}_5$ and HfTe${}_5$
• Lifshitz transition mediated electronic transport anomaly in bulk ZrTe5
• Bipolar Conduction is the Origin of the Electronic Transition in Pentatellurides: Metallic vs. Semiconducting Behavior
• Field induced topological phase transition from a three-dimensional Weyl semimetal to a two-dimensional massive Dirac metal in ZrTe5
• Landau level spectroscopy of massive Dirac fermions in single-crystalline ZrTe5 thin flakes
• Vacuum polarization of graphene with a supercritical Coulomb impurity: Low-energy universality and discrete scale invariance
• Observing a scale anomaly and a universal quantum phase transition in graphene

Cited by in corpus (36)

• Electronic Transport and quantum oscillation of Topological Semimetals
• Quantum Transport in Topological Semimetals under Magnetic Fields
• Gigantic magnetochiral anisotropy in the topological semimetal ZrTe5
• Unconventional Hall Effect induced by Berry Curvature
• Dirac Polarons and Resistivity Anomaly in ZrTe5 and HfTe5
• Photoinduced Dirac semimetal in ZrTe5
• Unraveling the topology of ZrTe${}_5$ by changing temperature
• Topological Lifshitz transition and one-dimensional Weyl mode in HfTe5
• Quantum Transport in Topological Semimetals under Magnetic Fields (II)
• Induced anomalous Hall effect of massive Dirac fermions in ZrTe5 and HfTe5 thin flakes
• Log-periodic quantum magneto-oscillations and discrete scale invariance in topological material HfTe5
• Heteromoiré Engineering on Magnetic Bloch Transport in Twisted Graphene Superlattices
• Band Structure Driven Thermoelectric Response of Topological Semiconductor ZrTe${}_5$
• Gate-tunable multiband transport in ZrTe5 thin devices
• Unusual magnetoresistance oscillations in preferentially oriented p-type polycrystalline ZrTe5
• Dynamic Phase Transition in the Contact Process with Spatial Disorder: Griffths Phase and Complex Persistence Exponents
• Nonlinear transport due to magnetic-field-induced flat bands in the nodal-line semimetal ZrTe5
• Revealing temperature evolution of the Dirac band in ZrTe${}_5$ via magneto-infrared spectroscopy
• Quantum oscillation beyond the quantum limit in pseudospin Dirac materials
• Magnetic-field-induced nonlinear transport in HfTe5
• Anomalous magneto-thermoelectric behavior in massive Dirac materials
• Tunable discrete scale invariance in transition-metal pentatelluride flakes
• Magnetotransport due to conductivity fluctuations in non-magnetic ZrTe2 nanoplates
• Rashba-splitting-induced topological flat band detected by anomalous resistance oscillations beyond the quantum limit in ZrTe${}_5$
• Discrete scale invariance of the quasi-bound states at atomic vacancies in a topological material
• Magnetic Manifestation of Discrete Scaling Symmetry in Dirac Semimetals
• Abrupt switching of the anomalous Hall effect by field-rotation in nonmagnetic ZrTe5
• Anomalous magnetoresistance in an antiferromagnetic Kagome semimetal heterostructures
• Efimov Effect in Long-range Quantum Spin Chains
• Inverse-current quantum electro-oscillations in a charge-density wave insulator
• Coexistence of Logarithmic and SdH Quantum Oscillations in Ferromagnetic Cr-doped Tellurium Single Crystals
• Local Einstein relation for fractals
• Anomalous Landau levels and quantum oscillation in rotation-invariant insulators
• Nernst Plateau in the Quantum Limit of Low-Carrier-Density Topological Insulators
• The fractal geometry and the mapping of Efimov states to Bloch states
• First-principles studies of fermiology in topological phases of bulk ZrTe${}_5$