{ "id": "2302.01829", "version": "v1", "published": "2023-02-03T16:06:32.000Z", "updated": "2023-02-03T16:06:32.000Z", "title": "Signatures of two- and three-dimensional semimetals from circular dichroism", "authors": [ "Ipsita Mandal", "Sajid Sekh" ], "comment": "8 pages, 3 figures; follow-up paper of arXiv:2105.05272", "categories": [ "cond-mat.mes-hall" ], "abstract": "Topological invariants are crucial quantities for classifying materials with topological phases. Hence, their connections with experimentally measurable quantities are extremely important. In this context, circular dichroism (CD) provides a protocol to detect the Chern number $\\mathcal{C}_0$ of the lowest energy Bloch band (LBB) of a semimetal. This hinges on the unequal depletion rates of the Bloch electrons from a filled LBB, under the action of a time-periodic circular drive, depending on the chirality of the polarization. According to the dimensionality of the system (i.e., whether it is two- or three-dimensional), the integrated differential rate for depletion has to be formulated a bit differently in order to relate it to $\\mathcal{C}_0$. Our aim is to capture the nature of the CD response for semimetals with anisotropic band dispersions. We show that while the quantization of the CD response for the three-dimensional cases is strongly sensitive to anisotropy, the two-dimensional counterparts show a perfectly quantized response.", "revisions": [ { "version": "v1", "updated": "2023-02-03T16:06:32.000Z" } ], "analyses": { "keywords": [ "circular dichroism", "three-dimensional semimetals", "signatures", "cd response", "lowest energy bloch band" ], "note": { "typesetting": "TeX", "pages": 8, "language": "en", "license": "arXiv", "status": "editable" } } }