Observing a Hierarchy of Modes in a Finite-Length Nonlinear Luttinger Liquid

ORAL

Abstract

It is notoriously hard to study theoretically interacting quantum systems outside the Luttinger-liquid regime, particularly when considering higher-energy excitations in finite 1D systems. Recent theoretical work has focused on extending this theory to include such regimes [1,2], where it is predicted that, for higher-order excitations, length-dependent 'replica' parabolic dispersions with higher momenta or negative effective mass should be observed. Our work focuses on the experimental detection and quantification of these higher-order modes. We measure momentum-resolved tunnelling of electrons to and from an array of 1D wires to a 2D electron system formed within a GaAs heterostructure, and map their dispersion both in the equilibrium and nonequilibrium regimes [3,4]. We present recent experimental data obtained for a variety of wire lengths where both first- and second-order replica modes can be observed. We also observe these features even when multiple subbands are occupied, beyond the regime of the models.

[1] O. Tsyplyatyev et al., Phys. Rev. Lett. 114, 196401 (2015)
[2] Y. Jin et al., Nat. Comm. 10, 2821 (2019)
[3] M. Moreno et al., Nat. Comm. 7, 12784 (2016)
[4] O. Tsyplyatyev et al., Phys. Rev. B 93, 075147 (2016)

**EPSRC [EP/J01690X/1 and EP/J016888/1]

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Presenters

  • Pedro Vianez

    • Cavendish Laboratory, University of Cambridge

Authors

  • Pedro Vianez

    • Cavendish Laboratory, University of Cambridge

  • Wooi Kiat Tan

    • Cavendish Laboratory, University of Cambridge

  • Oleksandr Tsyplyatyev

    • Institut für Theoretische Physik, Universität Frankfurt

  • Yiqing Jin

    • Cavendish Laboratory, University of Cambridge

  • Ankita Anirban

    • Cavendish Laboratory, University of Cambridge

  • Anne Anthore

    • Université Paris Diderot

  • Ian Farrer

    • Department of Electronic and Electrical Engineering, University of Sheffield, UK
    • Department of Electronic and Electrical Engineering, University of Sheffield
    • University of Sheffield
    • Dept. of Electronic & Electrical Engineering, University of Sheffield

  • David A Ritchie

    • Cavendish Laboratory, University of Cambridge, UK
    • Cavendish Laboratory, University of Cambridge
    • Cambridge University

  • Jonathan Griffiths

    • Cavendish Laboratory, University of Cambridge

  • Leonid Glazman

    • Yale University
    • Dept. of Physics and Applied Physics, Yale University
    • Department of Applied Physics, Yale University

  • Christopher J B Ford

    • Cavendish Laboratory, University of Cambridge