{ "id": "2006.09351", "version": "v1", "published": "2020-06-16T17:46:31.000Z", "updated": "2020-06-16T17:46:31.000Z", "title": "Helical Edge States and Quantum Phase Transitions in Tetralayer Graphene", "authors": [ "Shi Che", "Yanmeng Shi", "Jiawei Yang", "Haidong Tian", "Ruoyu Chen", "Takashi Taniguchi", "Kenji Watanabe", "Dmitry Smirnov", "Chun Ning Lau", "Efrat Shimshoni", "Ganpathy Murthy", "Herbert A. Fertig" ], "comment": "Accepted by PRL", "categories": [ "cond-mat.mes-hall", "cond-mat.mtrl-sci" ], "abstract": "Helical conductors with spin-momentum locking are promising platforms for Majorana fermions. Here we report observation of two topologically distinct phases supporting helical edge states in charge neutral Bernal-stacked tetralayer graphene in Hall bar and Corbino geometries. As the magnetic field B and out-of-plane displacement field D are varied, we observe a phase diagram consisting of an insulating phase and two metallic phases, with 0, 1 and 2 helical edge states, respectively. These phases are accounted for by a theoretical model that relates their conductance to spin-polarization plateaus. Transitions between them arise from a competition among inter-layer hopping, electrostatic and exchange interaction energies. Our work highlights the complex competing symmetries and the rich quantum phases in few-layer graphene.", "revisions": [ { "version": "v1", "updated": "2020-06-16T17:46:31.000Z" } ], "analyses": { "keywords": [ "quantum phase transitions", "neutral bernal-stacked tetralayer graphene", "supporting helical edge states", "phases supporting helical edge", "distinct phases supporting helical" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable" } } }