Weyl and Dirac semimetal tellurides

TaIrTe₄, NbIrTe₄, ZrTe₅, HfTe₅

Also called TaIrTe₄, NbIrTe₄, ZrTe₅, HfTe₅, pentatellurides

van der Waals crystal semimetal

Layered crystals where ideas from topology turn into measurable effects, some of them at room temperature. TaIrTe4 is a Weyl semimetal whose low symmetry lets thin flakes rectify radio waves and detect mid-infrared light without any bias, and lets its spin currents flip magnets that point out of the plane without a magnetic field. A single TaIrTe4 layer conducts along its edges in two separate ranges of electron density. ZrTe5 and HfTe5 sit so close to a change of topology that strain can tip them across it, and bulk crystals show Hall plateaus reported as a three-dimensional quantum Hall effect.

Crystal structure

  • Te
  • Hf
Cell
Rectangular, a = 3.97 Å (along chains), b = 13.73 Å (across chains)
Atoms per cell
12
Hf–Te bonds
2.94–2.96 Å
Te–Te bonds
2.76 and 2.91 Å
Height
5.21 Å between the outer atom centres
Hafnium sits in trigonal prisms of tellurium that share faces and run as chains along one direction, with a pair of tellurium atoms in each prism bonded to each other at 2.76 Å. Zigzag chains of tellurium, bonded at 2.91 Å, link the prism chains into a corrugated layer. ZrTe5 has the same structure. Both sit so close to the boundary between a strong and a weak topological insulator that small changes in temperature or strain move them across it – one reason these crystals keep producing contradictory results. One layer of bulk HfTe5 (Furuseth, Brattås and Kjekshus, Acta Chemica Scandinavica 27, 2367, 1973; COD 1527386): a = 3.97 Å along the chains, c = 13.73 Å across them.

Key properties

  • TaIrTe4: a type-II Weyl semimetal with only four Weyl points, the minimum symmetry allows, joined by long Fermi arcs
  • Few-layer TaIrTe4: a nonlinear Hall effect at room temperature, used to rectify radio-frequency signals into a DC voltage without bias
  • TaIrTe4 photodetectors: ~130 mA W−1 at 4 μm wavelength, unbiased and at room temperature
  • Monolayer TaIrTe4: quantised helical edge conduction at charge neutrality, and again inside a correlated insulating gap that opens once electrons are added – a dual quantum spin Hall insulator
  • ZrTe5: a resistivity peak where the sign of the charge carriers reverses, near 140 K in many crystals but dependent on growth; negative magnetoresistance with the field along the current, read as the chiral magnetic effect
  • Bulk ZrTe5 and HfTe5 reach the quantum limit at low magnetic fields and show Hall plateaus that scale with the Fermi wavelength along the field

How it is made

  • TaIrTe4: bulk crystals grown from a tellurium-rich flux
  • ZrTe5 and HfTe5: chemical vapour transport with iodine, or growth from tellurium flux, which leaves fewer tellurium vacancies and lower carrier densities
  • Mechanical exfoliation – down to monolayers for TaIrTe4, to nanosheets and few-layer flakes for ZrTe5 – usually followed by hBN encapsulation

Uses, and how close they are

  • Zero-bias rectifiers for harvesting radio-frequency energylab
  • Uncooled mid-infrared photodetectorslab
  • Spin–orbit torque layers for field-free switching in magnetic memorylab
  • Thermoelectric cooling below room temperature (bulk pentatellurides)lab

Readiness runs lab → prototype → pilot → deployed.

Open problems

  1. Is ZrTe5 a strong or a weak topological insulator, or a Dirac semimetal – and how much do strain, tellurium vacancies and temperature decide the answer in a given crystal?
  2. Do the bulk Hall plateaus in ZrTe5 and HfTe5 need a field-induced charge-density wave, or do they follow from a low-density Dirac band in the quantum limit?
  3. What is the correlated insulating state in monolayer TaIrTe4, and could it host fractional topological phases?
  4. Can room-temperature nonlinear Hall rectifiers and spin–orbit torque layers be made from grown films rather than exfoliated flakes?

Going deeper

Short notes for specialists. Choose a lens in the header and yours comes first.

For theoreticians · your lens

TaIrTe4 is a minimal type-II Weyl semimetal: its four Weyl points are the fewest that time-reversal symmetry allows. Broken inversion and its low Pmn21 symmetry permit a Berry-curvature dipole, which drives the second-order nonlinear Hall response, and out-of-plane spin polarisation in spin–orbit torques. In the monolayer, van Hove singularities reached by modest electron doping make correlations strong enough to open a new gap, inside which helical edges reappear. In ZrTe5 and HfTe5 the gap at Γ is so small that its sign – and with it the topology – changes with the lattice constants, so calculations should start from the measured structure at the temperature of the experiment.

For experimentalists · your lens

For nonlinear Hall measurements, drive at frequency ω and lock in at 2ω, and rotate the current relative to the crystal axes: a genuine signal follows the crystal symmetry, while thermoelectric and contact artefacts do not. In ZrTe5, negative longitudinal magnetoresistance is easily faked by current jetting, so use several voltage-contact pairs across the sample width. Carrier density and the resistivity-peak temperature differ between vapour-grown and flux-grown crystals; report both before comparing samples.

For engineers · your lens

The appeal is function without cooling: TaIrTe4 rectifies radio frequencies and detects mid-infrared light at room temperature with no bias, and its out-of-plane spins switch perpendicular magnets without the in-plane field that conventional heavy-metal layers need. Every demonstration so far uses exfoliated flakes; wafer-scale growth, the cost of iridium and the scarcity of tellurium stand between them and a product. ZrTe5 and HfTe5 remain research materials.

In the research tracks

Recent news

The newest items tagged TaIrTe4, ZrTe5, HfTe5, from the news feed updated 5 Oct 2026.

Preprintnot yet peer reviewed arXiv

Different reconstruction pathways toward superconductivity in TaRhTe4 and TaIrTe4 Weyl semimetals

Pressure can drive Weyl semimetals toward superconductivity through qualitatively distinct reconstructions of their lattices and normal-state electronic structures. Here, we report the first observation of superconductivity in compressed TaRhTe4. This finding enables a direct comparison of the distinct reconstruction…

Preprintnot yet peer reviewed arXiv

Realization of quantum spin Hall insulator superlattice with emergent multigap-like helical edge states

The functional quantum spin Hall insulators (QSHI), protected by time-reversal symmetry against single-particle backscattering, hold great promise for dissipationless quantum electronics. Realization of QSHI with gapped helical edge states, which would enable deterministic on/off switching of the edge-channel…

Preprintnot yet peer reviewed arXiv

Ultrastrong Au-Te bonding drives disorder in monolayer ZrTe5 on gold

Monolayer ZrTe5 is predicted to host a large-gap quantum spin Hall phase, motivating efforts to isolate single layers of the material. Gold-assisted exfoliation produces clean monolayers of many chalcogen-terminated van der Waals crystals, but the strong Te-Au bond may compete with the bonding network of the ZrTe5…

Preprintnot yet peer reviewed arXiv

Quasi-one-dimensional topological band structure and van Hove singularities in monolayer TaIrTe4 from laser μ-ARPES

Recent transport experiments reported a quantum spin Hall insulator phase in monolayer 1T-TaIrTe4 gated away from charge neutrality. This phase is not predicted by band structure calculations and has been attributed to an electronic instability induced by strong correlations at a putative van Hove singularity. Here, we…

All 15 items tagged TaIrTe₄, ZrTe₅, HfTe₅ in the news feed  ·  RSS feed for TaIrTe₄, ZrTe₅, HfTe₅

Key references

  1. Giant resistivity anomaly in ZrTe5Okada et al. · Journal of the Physical Society of Japan 49, 839 (1980)cited by 116doi:10.1143/JPSJ.49.839
  2. TaIrTe4: A ternary type-II Weyl semimetalKoepernik et al. · Physical Review B 93, 201101 (2016)cited by 242doi:10.1103/PhysRevB.93.201101
  3. Nonlinear photoresponse of type-II Weyl semimetalsMa et al. · Nature Materials 18, 476 (2019)cited by 328doi:10.1038/s41563-019-0296-5
  4. Room-temperature nonlinear Hall effect and wireless radiofrequency rectification in Weyl semimetal TaIrTe4Kumar et al. · Nature Nanotechnology 16, 421 (2021)cited by 243doi:10.1038/s41565-020-00839-3
  5. Field-free switching of perpendicular magnetization at room temperature using out-of-plane spins from TaIrTe4Liu et al. · Nature Electronics 6, 732 (2023)cited by 110doi:10.1038/s41928-023-01039-2
  6. Dual quantum spin Hall insulator by density-tuned correlations in TaIrTe4Tang et al. · Nature 628, 515 (2024)cited by 41doi:10.1038/s41586-024-07211-8
  7. Transition-metal pentatelluride ZrTe5 and HfTe5: a paradigm for large-gap quantum spin Hall insulatorsWeng, Dai & Fang · Physical Review X 4, 011002 (2014)cited by 316doi:10.1103/PhysRevX.4.011002
  8. Chiral magnetic effect in ZrTe5Li et al. · Nature Physics 12, 550 (2016)cited by 1,053doi:10.1038/nphys3648
  9. Three-dimensional quantum Hall effect and metal–insulator transition in ZrTe5Tang et al. · Nature 569, 537 (2019)cited by 329doi:10.1038/s41586-019-1180-9
  10. Origin of the quasi-quantized Hall effect in ZrTe5Galeski et al. · Nature Communications 12, 3197 (2021)cited by 59doi:10.1038/s41467-021-23435-y