Magnetoresistance in PdTe: When Classical Physics Beats Topology ✛ ✎

Original: "Observation of linear magnetoresistance and planar Hall effect in the Dirac semimetal PdTe"
arXiv:2609.08675v1 · 2026-09-08 · arXiv non-exclusive · independent analysis · 2 min
In the Dirac semimetal PdTe, linear magnetoresistance and the planar Hall effect have been measured for the first time, and both phenomena turn out to be classical rather than topological.

A translator gets distracted by every rustle in the hall, and a one-hour meeting stretches into two. That's roughly how disorder in a crystal slows electrons: tiny inhomogeneities make them wander, and resistance grows. In the Dirac semimetal PdTe, this effect has now been observed in its pure form for the first time.

A Dirac semimetal is a material where electrons behave like massless particles and are therefore highly mobile.

A single crystal of PdTe, grown by slow cooling of the melt, was placed in a magnetic field up to 14 tesla. At 5 kelvin, the resistance increased by 112%. Initially, it grew quadratically, as expected for an ordinary metal, but after a critical field of about 2–3 tesla, the dependence became linear. Such behavior is often attributed to quantum effects, but here everything was explained more simply.

Linear magnetoresistance arose from mobility fluctuations: in different regions of the crystal, electrons move at different speeds, and in a strong field these differences add up to a direct increase in resistance. The critical field depended linearly on the inverse mobility, exactly as predicted by the classical Parish–Littlewood model. The quantum limit, where all electrons would occupy the lowest Landau level, would require a field of 2.49 kilotesla, hundreds of times stronger than the most powerful steady-state magnet.

The planar Hall effect is a transverse voltage that appears when the field lies in the plane of the current. Its amplitude grew as $B^1$.4, not $B^2$, which rules out the chiral anomaly.

A parametric plot of transverse resistance versus longitudinal resistance gave a shock-wave-like shape, a characteristic signature of anisotropic orbital magnetoresistance. Electrons scatter differently depending on the field direction, and this creates the planar Hall effect without any topology.

The translator who gets distracted by rustles still eventually translates, just more slowly. So does PdTe: despite its Dirac nature, its transport anomalies turn out to be classical. This result offers a simple criterion for other materials: before invoking topology, check for disorder.

The magnetic field required to reach the quantum limit in PdTe is estimated at 2.49 kilotesla, which is hundreds of times stronger than the field of the most powerful steady-state magnet in the world.

B_c = \frac{\hbar (3\pi^2 n)^{2/3}}{2e}
The field Bc increases with carrier concentration n. For PdTe it turns out to be about 2.49 kT, which is unattainable in experiments.
\rho_{xy}^{PHE} = -\Delta\rho \sin\phi \cos\phi
The amplitude Δρ = ρ_∥ - ρ_⊥ is determined by the difference between resistances parallel and perpendicular to the field. The angular dependence has a period of 180°.
\rho_{xx} = \rho_\perp - \Delta\rho \cos^2\phi
The resistance is maximum when the field is perpendicular to the current (φ=90°) and minimum when parallel (φ=0°).
Concepts
ferron hall effect Hall effect