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Disordered topological graphs enhancing nonlinear phenomena

ORAL

Abstract

Since their discovery in crystalline materials, topological insulators have also been realized in amorphous solids, where non-trivial topology is captured by the real space version of the Chern number. Unlike the periodic lattice, disorder in amorphous structure induces Anderson localization of the bulk modes. We propose and demonstrate topological structurally disordered systems with a modal structure that enhances nonlinear phenomena by inhibiting the leakage of energy from topological edge modes to bulk modes in the presence of nonlinearities. We present the construction of the graph and show that its dynamics enhances the photon pair generation rate in an optical realization. [1]

[1] Z. Jia, M. Secli, A. Avdoshkin, W. Redjem, E. J. Dresselhaus, J. E. Moore, and B. Kante. Disordered topological graphs enhancing nonlinear phenomena. Under review.

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Publication: Z. Jia, M. Secli, A. Avdoshkin, W. Redjem, E. J. Dresselhaus, J. E. Moore, and B. Kante. Disordered topological graphs enhancing nonlinear phenomena. Under review.

Presenters

  • Zhetao Jia

    University of California, Berkeley

Authors

  • Zhetao Jia

    University of California, Berkeley

  • Matteo Seclì

    SISSA

  • Alexander Avdoshkin

    University of California, Berkeley

  • Walid Redjem

    Department of Electrical Engineering and Computer Sciences, University of California, Berkeley, CA 94720, USA, University of California, Berkeley, University of California Berkeley

  • Elizabeth Dresselhaus

    University of California Berkeley

  • Joel E Moore

    Department of Physics, UC Berkeley and Materials Sciences Division, LBNL, University of California, Berkeley

  • Boubacar Kante

    Department of Electrical Engineering and Computer Sciences, University of California, Berkeley, CA 94720, USA, University of California, Berkeley, University of California Berkeley