Emergent Relativistic Effects in Condensed Matter
From Fundamental Aspects to Electronic Functionality

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03.07.2026

Tracking electrons at the space-time limit


S. Maier, R. Spachtholz, K. Glöckl, C.M. Bustamante, S. Lingl, M. Maczejka, J. Schön, A. Riedel, K. Richter, F.J. Giessibl, F.P. BonafĂ©, M.A. Huber, A. Rubio, J. Repp, R. Huber

Nature Photonics (2026)

The dynamics of an electronic wavefunction often have non-trivial consequences on its spatial distribution, for example, during tunnelling or chemical bond formation. Yet, revealing spatio-temporal coupling requires ultrafast videography at the intrinsic size of electronic wavefunctions, at the so-called space-time limit. Here we experimentally access the intrinsic quantum motion of individual electrons at the space-time limit while they are tunnelling through an energy barrier, using atomic-scale lightwave-driven scanning tunnelling microscopy with attosecond time resolution. While modulating the tunnelling barrier with two time-delayed near-infrared pulses forming phase-controlled single-cycle waveforms, isolated electron tunnelling transients shorter than 1 fs are identified. The measured spatial extension depends on the interplay of multi-photon and field-driven dynamics, as confirmed by full quantum simulations. We experimentally localize the attosecond-confined tunnelling wave packet on the angstrom scale and use it to map a single copper adatom on a silver surface. This fusion of attosecond science with atomic-scale scanning tunnelling microscopy makes it possible to study wavefunction dynamics inside atoms, molecules and solids.

Tracking electrons at the space-time limit | Nature Photonics

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Doris Meier
Universität Regensburg

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