{ "id": "1604.07079", "version": "v1", "published": "2016-04-24T20:34:30.000Z", "updated": "2016-04-24T20:34:30.000Z", "title": "Measuring Chern numbers above the Fermi level in the Type II Weyl semimetal Mo$_x$W$_{1-x}$Te$_2$", "authors": [ "Ilya Belopolski", "Su-Yang Xu", "Yukiaki Ishida", "Xingchen Pan", "Peng Yu", "Daniel S. Sanchez", "Madhab Neupane", "Nasser Alidoust", "Guoqing Chang", "Tay-Rong Chang", "Yun Wu", "Guang Bian", "Hao Zheng", "Shin-Ming Huang", "Chi-Cheng Lee", "Daixiang Mou", "Lunan Huang", "You Song", "Baigeng Wang", "Guanghou Wang", "Yao-Wen Yeh", "Nan Yao", "Julien E. Rault", "Patrick Le Fèvre", "François Bertran", "Horng-Tay Jeng", "Takeshi Kondo", "Adam Kaminski", "Hsin Lin", "Zheng Liu", "Fengqi Song", "Shik Shin", "M. Zahid Hasan" ], "comment": "Incorporates earlier results presented in arXiv:1512.09099, by the same authors", "categories": [ "cond-mat.mes-hall" ], "abstract": "It has recently been proposed that electronic band structures in crystals give rise to a previously overlooked type of Weyl fermion, which violates Lorentz invariance and, consequently, is forbidden in particle physics. It was further predicted that Mo$_x$W$_{1-x}$Te$_2$ may realize such a Type II Weyl fermion. One crucial challenge is that the Weyl points in Mo$_x$W$_{1-x}$Te$_2$ are predicted to lie above the Fermi level. Here, by studying a simple model for a Type II Weyl cone, we clarify the importance of accessing the unoccupied band structure to demonstrate that Mo$_x$W$_{1-x}$Te$_2$ is a Weyl semimetal. Then, we use pump-probe angle-resolved photoemission spectroscopy (pump-probe ARPES) to directly observe the unoccupied band structure of Mo$_x$W$_{1-x}$Te$_2$. For the first time, we directly access states $> 0.2$ eV above the Fermi level. By comparing our results with $\\textit{ab initio}$ calculations, we conclude that we directly observe the surface state containing the topological Fermi arc. Our work opens the way to studying the unoccupied band structure as well as the time-domain relaxation dynamics of Mo$_x$W$_{1-x}$Te$_2$ and related transition metal dichalcogenides.", "revisions": [ { "version": "v1", "updated": "2016-04-24T20:34:30.000Z" } ], "analyses": { "keywords": [ "fermi level", "weyl semimetal mo", "measuring chern numbers", "unoccupied band structure", "weyl fermion" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2016arXiv160407079B" } } }