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HIGHLIGHT
2009/03/02

Hot Electrons in Carbon – Graphite behaves like a semiconductor

Nanomaterials like carbon possess unique properties, which have led to first applications in novel electronic devices and sensors. These materials are based on ordered, atomically thin layers of carbon atoms, for example in the form of a single layer as so-called "graphene", or rolled-up in carbon nanotubes. The electronic properties of such structures are closely related to those of graphite, which consists of a stack of graphene sheets. Despite intensive research in the past, the fundamental behavior of electrons in this material are not fully understood and still controversially debated.

Markus Breusing, Claus Ropers und Thomas Elsaesser, three scientists from the Max-Born-Institute in Berlin, have now investigated the behavior of electrons in thin graphite films in real time. As they now report in Physical Review Letters (Volume 102, 086809/1-4 (2009)), they recorded the dynamics of electrons with an unprecedented temporal resolution of only 10 femtoseconds (one femtosecond is a millionth of a billionth of a second). Electrons were excited to high energy states with ultrashort laser pulses, and their return to equilibrium was observed. The individual steps of this process are temporally resolved, and the momentary distribution of electrons in the material is identified. Within 30 femtoseconds, electrons form a hot gas with temperatures of 2500 °C, which cools down to about 200 °C in only 500 femtoseconds. The energy dissipated in this process is transferred to the crystal lattice. After this process, the electrons slowly return to their initial states. For the first time, the study shows conclusively that, on ultrashort time scales, graphite behaves like a semiconductor, such as silicon or gallium arsenide, and not like a metal.

The observed dynamics have significant consequences for electrical transport, such as currents flowing through the material at high frequencies. The results are of fundamental importance for future electronic devices based on carbon, in which high electrical fields or frequencies are processed.

 
Scanning electron microscopy image showing a partially free-standing 30nm thick graphite flake on a metallic mesh. For time-resolved optical experiments light was focussed to a spot of approximately 5 µm in diameter.
Scheme of the crystal structure of graphite. The crystal consists of layers of carbon atoms (gray spheres) arranging in a sequence of hexagons. A single carbon layer is called graphene. The strength of the chemical bond within the layer is 50 times stronger than that between two layers. Consequently, it is easy to separate such layers, a property exploited in pencils.
Illustration of carrier dynamics in graphite within the first 1000 femtoseconds (1 femtosecond=1 fs=10-15 s). The conical structure represents the energetic states of the electrons, where the electron’s energy is plotted as a function of its momentum along kx and ky. Occupied states are coloured red, whereas empty ones are gray. Before the optical excitation, the lower cone is fully occupied. At time zero (0 fs) the ultra-short laser pulse excites a fraction of electrons to the upper cone, resulting in an unoccupied band in the lower cone (now gray) and a filled one in the upper cone (now red). Equilibration causes the formation of a hot electron gas with a temperature of approximately 2500 °C, which is distributed over a broad energy range (figure for t=30 fs). Within the next 200 fs, the electrons cool down to 500 °C, dissipating their energy to the crystal lattice. As a consequence, the electrons accumulate in the lower part of the upper cone and the unoccupied states are concentrated in the upper part of the lower cone. Finally, on a much longer time-scale, the electrons return to their initial states, leaving the system as it was before excitation.

Contact:
Markus Breusing, Prof. Thomas Elsässer
Max-Born-Institut für Nichtlineare Optik und Kurzzeitspektroskopie
Max-Born-Str. 2 A, 12489 Berlin
(breusing@mbi-berlin.de, elsasser@mbi-berlin.de)
Prof. Claus Ropers, CRC Nanospektroskopie und Röntgenbildgebung,
Universität Göttingen,
Friedrich-Hund-Platz 1, 37077 Göttingen (cropers@gwdg.de)