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Therefore, reversing the direction of the gate-field can switch the preferred pseudospin orientation, enabling the switchable second-order NLHE. The gate field strengthens the spin\u2013orbit coupling, leading to energy-band splitting that further enhances the BCD contribution. This mechanism does not require intrinsic magnetism and provides a binary ON\/OFF switching control method, greatly expanding the application potential of layered systems in nonlinear Hall transport. Our findings not only demonstrate the universal design principle of the switchable second-order NLHE but also can be extended to other gate-field-controllable nonlinear transport and nonlinear optics.<\/jats:p>","DOI":"10.1088\/1361-6633\/ae3983","type":"journal-article","created":{"date-parts":[[2026,1,16]],"date-time":"2026-01-16T22:50:44Z","timestamp":1768603844000},"page":"020501","update-policy":"https:\/\/doi.org\/10.1088\/crossmark-policy","source":"Crossref","is-referenced-by-count":3,"title":["A universal design principle for switchable control of the second-order nonlinear Hall effect"],"prefix":"10.1088","volume":"89","author":[{"ORCID":"https:\/\/orcid.org\/0000-0003-2582-1609","authenticated-orcid":true,"given":"Xiaoliang","family":"Xiao","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Xingyu","family":"Yue","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Jinyang","family":"Ni","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-1841-1302","authenticated-orcid":true,"given":"Jin-Zhu","family":"Zhao","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Ruiqiang","family":"Wang","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-2971-5088","authenticated-orcid":true,"given":"Xin","family":"Wang","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Guoqing","family":"Chang","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-6013-6458","authenticated-orcid":true,"given":"Yuanjun","family":"Jin","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"266","published-online":{"date-parts":[[2026,2,3]]},"reference":[{"key":"ropae3983bib1","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.115.216806","type":"journal-article","volume":"115","author":"Sodemann","year":"2015","journal-title":"Phys. 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