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Berlin 2018 – scientific programme

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TT: Fachverband Tiefe Temperaturen

TT 36: Correlated Electrons: 1D Theory

TT 36.6: Talk

Tuesday, March 13, 2018, 10:45–11:00, HFT-FT 101

Observation of a hierarchy of modes in an interacting 1D system — •Christopher J B Ford1, Yiqing Jin1, Maria Moreno1, Wooi Kiat Tan1, Anne Anthore2, Jon P Griffiths1, Ian Farrer1, Geraint A C Jones1, David A Ritchie1, Oleksandr Tsyplyatyev3, and Andrew Scholfield41University of Cambridge, UK — 2Paris Diderot University, France — 3University of Frankfurt, Germany — 4University of Birmingham, UK

At low excitation energies, a system of interacting one-dimensional (1D) electrons can be described theoretically as a Tomonaga-Luttinger liquid. However, it is only in the last few years that theoreticians have developed models of the behaviour at energies comparable to the Fermi energy, predicting ‘replicas’ of the dispersion relation offset by multiples of the Fermi wave-vector. We measure momentum-resolved tunnelling of electrons between 1D wires formed within a GaAs heterostructure and a 2D electron gas used as a spectrometer and have previously found well-resolved spin-charge separation at low energy with appreciable interaction strength. Now we have detected structure resembling replicas, which dies away quite rapidly at high momentum, in line with the most recent theory.1 We have fabricated arrays of wires with lengths between 1 and 20µm, after developing a reliable technique to make thousands of ‘air-bridges’ on each device. The replicas seem strongest in the short wires,2 again as predicted by the theory.
Tsyplyatyev et al., Phys. Rev. Lett., 114, 196401 (2015)
Moreno et al., Nat. Commun. 7, 12784 (2016)

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