Guy Trambly de Laissardière

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My research activity has mainly deal with the electronic confinement of Dirac electrons in twisted bilayer graphene and twisted bilayer MoS2, and the quantum transport in 2D materials with adsorbates, in approximants of Al-based quasicrystals and in perfect quasiperiodic tilings.

On electronic structure in twisted bilayer graphene, we address the long lasting problem of the origin of the moiré pattern observed on STM images. For large and intermediated rotation angles, we present analytical and numerical studies of the electronic structure which compare well to STM spectra [4,5] and prove the strong effect of heterostrain in many samples [5]. For very small angles, moiré pattern ultimately leads to electronic confinement in AA regions at some energies close to the Dirac point in twisted bilayer graphene [1,2] and twisted bilayer MoS2 [3]. This particular location leads to new electronic and magnetic properties [9].

We propose a unified description of transport in graphene [10] and bilayer graphene [11,12,8] with adsorbates that fully takes into account localization effects and loss of electronic coherence due to inelastic processes. We focus in particular on the role of the scattering properties of the adsorbates and analyse in detail cases with resonant or non resonant scattering. Sufficiently far from the Dirac energy and at sufficiently small concentrations the semi-classical theory is a good approximation. Near the Dirac energy we identify different quantum regimes, where the conductivity presents universal behaviours.

The understanding of the remarkable transport properties of quasicrystals is a long standing question. We have performed numerical studies on quantum diffusion in periodic approximants of Al-based quasiperiodic structures (icosahedral AlMn, AlCuFe, AlPdMn) [14,15] and in two dimensional Penrose tilings and octagonal tilings [13,16]. Results show that both medium range and long range quasiperiodic order induce a sub-diffusive regime at some energies in perfect structure (without defects). In periodic approximants, this unusual transport, called the “small velocity regime” [14], is analyse in term of Boltzmann (semi-classical) and non-Boltzmann contributions to the conductivity [14,15].

  1. G. Trambly de Laissardière, D. Mayou and L. Magaud, Nano Lett. 10, 804 (2010).

  2. G. Trambly de Laissardière, D. Mayou and L. Magaud, Phys. Rev. B 86, 125413 (2012).

  3. S. Venkateswarlu, A. Honecker, G. Trambly de Laissardière, Phys. Rev. B 102, 081103(R) (2020). DOI

  4. I. Brihuega, P. Mallet, H. González-Herrero, G. Trambly de Laissardière, M. M. Ugeda, L. Magaud, J. M. Gómez-Rodríguez, F. Ynduráin, J.-Y. Veuillen, Phys. Rev. Lett. 109, 196802 (2012).

  5. L. Huder, A. Artaud, T. Le Quang, G. Trambly de Laissardière, A. G. M. Jansen, G. Lapertot, C. Chapelier, V. T. Renard, Phys. Rev. Lett. 120, 156405 (2018).

  6. F. Mesple, A. Missaoui, T. Cea, L. Huder, F. Guinea, G. Trambly de Laissardière, C. Chapelier, V. T. Renard, Phys. Rev. Lett. 127, 126405 (2021). DOI

  7. G. Trambly de Laissardière, O. F. Namarvar, D. Mayou, L. Magaud, Phys. Rev. B 93, 235135 (2016).

  8. O. F. Namarvar, A. Missaoui, L. Magaud, D. Mayou, Guy Trambly de Laissardière. Phys. Rev. B 101, 245407 (2020).

  9. J. Vahedi, R. Peters, A. Missaoui, A. Honecker, G. Trambly de Laissardière, SciPost Phys. 11, 083 (2021). DOI

  10. G. Trambly de Laissardière, D. Mayou, Phys. Rev. Lett. 111, 146601 (2013).

  11. A. Missaoui, J. J. Khabthani, N.-E. Jaidane, D. Mayou, G. Trambly de Laissardière, J. Phys.: Condens. Matter 30, 195701 (2018).

  12. J. J. Khabthani, A. Missaoui, D. Mayou, G. Trambly de Laissardière, Phys. Rev. B 104, 245125 (2021). DOI

  13. G. Trambly de Laissardière, C. Oguey, D. Mayou, Phil. Mag. 91, 2778 (2011).

  14. G. Trambly de Laissardière, J. P. Julien, D. Mayou, Phys. Rev. Lett. 97, 026601 (2006). DOI

  15. G. Trambly de Laissardière, D. Mayou, C. R. Physique 15, 70-81 (2014). DOI

  16. G. Trambly de Laissardière, C. Oguey, D. Mayou, Journal of Physics: Conf. Series 809, 012020 (2017).





v. 28 Jul 2022