Universal Fermi-surface anisotropy renormalization for interacting Dirac fermions with long-range interactions

ORAL

Abstract

Recent evidence suggest an intriguing universal relationship between the Fermi surface anisotropy of the non-interacting parent two-dimensional electron gas and the strongly correlated composite Fermi liquid formed in a strong magnetic field close to half-filling. Inspired by these observations, we explore more generally the question of anisotropy renormalization in interacting 2D Fermi systems. Using a recently developed [1] non-perturbative and numerically-exact projective quantum Monte Carlo simulation as well as other numerical and analytic techniques, only for Dirac fermions with long-range Coulomb interactions do we find a universal square-root decrease of the Fermi-surface anisotropy [2]. Our proposed universality can be tested in several anisotropic Dirac materials including graphene, topological insulators and organic conductors.

[1] H-K. Tang, J. Leaw, J. Rodrigues, I. Herbut, P. Sengupta, F. Assad and S. Adam, Science, 361, 570 (2018);

[2] J. Leaw, H-K. Tang, M. Trushin, F. F. Assaad, S. Das Sarma, and S. Adam, arXiv:1809.07775

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Presenters

  • Shaffique Adam

    Department of Physics and Centre for Advanced 2D Materials, National University of Singapore, Centre for Advanced 2D Materials and Graphene Research Centre, National University of Singapore, Department of Physics, National University of Singapore, Yale-NUS College, National University of Singapore

Authors

  • Shaffique Adam

    Department of Physics and Centre for Advanced 2D Materials, National University of Singapore, Centre for Advanced 2D Materials and Graphene Research Centre, National University of Singapore, Department of Physics, National University of Singapore, Yale-NUS College, National University of Singapore

  • Jia Ning Leaw

    Department of Physics, National University of Singapore, National University of Singapore

  • Ho Kin Y Tang

    National University of Singapore

  • Maxim Trushin

    Centre for Advanced 2D Materials, NUS, National University of Singapore

  • Fakher Assaad

    Institut für Theoretische Physik und Astrophysik, Universität Würzburg, Physics, Wuerzburg University, Universitat Wurzburg

  • Sankar Das Sarma

    University of Maryland, College Park, Physics, University of Maryland, University of Maryland