Quantum Spin Hall effect in bilayer graphene heterostructures

Priya Tiwari, Saurabh Kumar Srivastav, Sujay Ray, Tanmoy Das, Aveek Bid

Published 2020-03-23Version 1

Quantization of electrical conductance in condensed matter systems often arises from the presence of edge-modes. These modes are globally protected from local perturbations by certain symmetries of the underlying system. In the case of a time-reversal (TR) invariant 2-dimensional topological insulator (TI) - also known as the Quantum Spin Hall (QSH) insulator state - the bulk of the system is gapped, while the edges host counter-propagating, gapless metallic conducting states of opposite spin polarizations. Realizing TR invariant QSH in intrinsic graphene systems has been elusive so far due to the extremely weak spin-orbit interactions of carbon atoms. In this letter, we report the experimental observation of QSH state in bilayer graphene/single-layer WSe$_2$ heterostructures - a system similar to the one in which the pioneering proposals of Kane and Mele envisaged the QSH insulator state. We find the measured value of electrical conductance to be quantized to the theoretically predicted value of $e^2/h$ for each QSH edge-mode. The linear conductance obtained in several measurement configurations matches precisely with that obtained from a tight-binding model replicating our heterostructure with periodic [for bulk topology] and open-boundary conditions [for topological edge-modes]. Our work provides the pivotal affirmation of the archival Kane - Mele model for QSH state in graphene and expands the material choices for QSH states.