{ "id": "2112.05524", "version": "v1", "published": "2021-12-10T13:29:50.000Z", "updated": "2021-12-10T13:29:50.000Z", "title": "Tracing out the Berry curvature dipole and multipoles in second harmonic Hall responses of time-reversal symmetric insulators", "authors": [ "Mahmut Sait Okyay", "Shunsuke Sato", "Kunwoo Kim", "Binghai Yan", "Hosub Jin", "Noejung Park" ], "comment": "main text: 21 pages with 3 figures; supplementary material: 11 pages with 3 figures", "doi": "10.1038/s42005-022-01086-9", "categories": [ "cond-mat.mes-hall", "cond-mat.mtrl-sci" ], "abstract": "Various nonlinear characteristics of solid states, such as the circular photogalvanic effect of time-reversal symmetric insulators, the quantized photogalvanic effect of Weyl semimetals, and the nonlinear Hall effect of time-reversal symmetric metals, have been associated with the Berry curvature dipole (BCD). Here, we explore the question of whether the Berry curvature dipole and multipoles of time-reversal symmetric insulators can be traced in the nonlinear optical responses. We performed real-time time-dependent density functional theory calculations and examined the second harmonic generation susceptibility tensors. The two-band term of the susceptibility tensor is sharply proportional to the interband BCD, dominating over the Hall response once the cancellation effect of the multiple reflection symmetries is lifted. We suggest that the nonlinear Hall component of the second-harmonic spectra of insulators can also be utilized as an effective tool to extract the band structure geometry through Berry curvature dipole and possibly multipoles.", "revisions": [ { "version": "v1", "updated": "2021-12-10T13:29:50.000Z" } ], "analyses": { "keywords": [ "berry curvature dipole", "time-reversal symmetric insulators", "second harmonic hall responses", "density functional theory calculations", "time-dependent density functional theory" ], "tags": [ "journal article" ], "publication": { "publisher": "Nature" }, "note": { "typesetting": "TeX", "pages": 21, "language": "en", "license": "arXiv", "status": "editable" } } }