Mapping a non-linear Luttinger Liquid using 1D-2D magnetotunelling spectroscopy

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• Pedro Vianez, Cavendish Laboratory, University of Cambridge 

• Wednesday 16 May 2018, 14:00-15:00
• Mott Seminar Room (Mott Building Room 531), Cavendish Laboratory.

If you have a question about this talk, please contact Dr Kaveh Delfanazari.

One-dimensional (1D) systems behave in a significantly different way from their higher-dimensional counterparts as electron-electron interactions can now no longer be neglected. The Tomonaga-Luttinger Liquid (TLL) model is a theory that describes such systems. This model makes a number of predictions, such as spin-charge separation and suppression of tunnelling conductance at zero bias, both of which have been experimentally observed. It makes however some simplifications, such as assuming 1D systems of infinite length and only considering low-energy excitations. 
Recent theoretical work has focused on extending the TLL theory to include higher energy excitations and finite length systems. This led to the prediction that, at higher order excitations, ‘replica’ parabolas with higher momenta should be observed, in addition to the simple single-particle parabolic dispersion. My work focuses on the experimental detection and quantification of these higher order excitations using the method of 1D-2D tunnelling spectroscopy in order to map the dispersion of the system. 
In this talk I will report on current progress including design and fabrication of one-layered and two-layered semiconductor devices with an array of 1D wires. I will also present preliminary data showing successful operation of the gates, as well as discussing our technique for making air bridges. 

¹ Jompol et al., 2009 Science, 325, 597–601.
² Tsyplyatyev et al., 2015, Phys. Rev. Lett., 114, 196401
³ Tsyplyatyev et al., 2016, Phys. Rev. B, 93, 075147

This talk is part of the Semiconductor Physics Group Seminars series.

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