Dirac Polarons and Resistivity Anomaly in ZrTe5 and HfTe5

Abstract

Resistivity anomaly, a sharp peak of resistivity at finite temperatures, in the transition-metal pentatellurides ZrTe5 and HfTe5 was observed four decades ago, and more exotic and anomalous behaviors of electric and thermoelectric transport were revealed recent years. Here we present a theory of Dirac polarons, composed by massive Dirac electrons and holes in an encircling cloud of lattice displacements or phonons at finite temperatures. The chemical potential of Dirac polarons sweeps the band gap of the topological band structure by increasing the temperature, leading to the resistivity anomaly. Formation of a nearly neutral state of Dirac polarons accounts for the anomalous behaviors of the electric and thermoelectric resistivity.

arXiv commentMain script:6 pages with 4 figures. Supplementary file: 10 pages with 1 figure

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Cited by in corpus (17)

• Gigantic magnetochiral anisotropy in the topological semimetal ZrTe5
• Large Nernst effect and field enhanced transversal ZT in ZrTe5
• Topological Lifshitz transition and one-dimensional Weyl mode in HfTe5
• Thermodynamically Induced Transport Anomaly in Dilute Metals ZrTe${}_5$ and HfTe${}_5$
• Chiral Majorana Hinge Modes in Superconducting Dirac Materials
• Anomalous Hall effect at the Lifshitz transition in ZrTe5
• Quantum oscillations and three-dimensional quantum Hall effect in ZrTe${}_5$
• Band Structure Driven Thermoelectric Response of Topological Semiconductor ZrTe${}_5$
• Gate-tunable multiband transport in ZrTe5 thin devices
• Nonlinear transport due to magnetic-field-induced flat bands in the nodal-line semimetal ZrTe5
• First-principles methodology for studying magnetotransport in narrow-gap semiconductors: an application to Zirconium Pentatelluride ZrTe5
• Optical conductivity and resistivity in a four-band model for ZrTe${}_5$ from ab-initio calculations
• Magnetic field driven Lifshitz transition and one-dimensional Weyl nodes in three-dimensional pentatellurides
• Orbital origin of fourfold anisotropic magnetoresistance in Dirac materials
• Theory of anomalous Hall effect in transition-metal pentatelluride ${\mathrm{ZrTe}}_5$ and ${\mathrm{HfTe}}_5$
• Extremely low-energy collective modes in a quasi-one-dimensional system
• Temperature-Dependent Collective Excitations in a Three-Dimensional Dirac System ZrTe${}_5$