{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,10,2]],"date-time":"2026-10-02T14:53:46Z","timestamp":1790952826901,"version":"4.1.0"},"reference-count":70,"publisher":"Wiley","license":[{"start":{"date-parts":[[2026,10,2]],"date-time":"2026-10-02T00:00:00Z","timestamp":1790899200000},"content-version":"vor","delay-in-days":0,"URL":"http:\/\/creativecommons.org\/licenses\/by\/4.0\/"},{"start":{"date-parts":[[2026,10,2]],"date-time":"2026-10-02T00:00:00Z","timestamp":1790899200000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/doi.wiley.com\/10.1002\/tdm_license_1.1"}],"funder":[{"DOI":"10.13039\/501100000781","name":"European Research Council","doi-asserted-by":"publisher","award":["NODE(101198634)"],"award-info":[{"award-number":["NODE(101198634)"]}],"id":[{"id":"10.13039\/501100000781","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100000266","name":"Engineering and Physical Sciences Research Council","doi-asserted-by":"publisher","award":["EP\/W028921\/1"],"award-info":[{"award-number":["EP\/W028921\/1"]}],"id":[{"id":"10.13039\/501100000266","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":["advanced.onlinelibrary.wiley.com"],"crossmark-restriction":true},"short-container-title":["Advanced Materials"],"abstract":"<jats:title>ABSTRACT<\/jats:title>\n                  <jats:p>The intersection of topological photonics and nonlinear optics provides new opportunities for compact, tunable light sources. Here, we demonstrate even and odd harmonic generation, in the 6\u201310 THz range, in electrically driven micro\u2010lasers by integrating a set of different topological insulator (TI)\u2013metamaterials. The unique surface states of TI, characterized by robust symmetry properties, enable enhanced nonlinear interactions when coupled with the tailored dispersion and field confinement of metamaterials. By leveraging the nonlinear susceptibilities of the composite structure by electrical gating, we demonstrate controlled generation of second\u2010 or third\u2010harmonic signals of up to 33 \u00b5W or 6.4 \u00b5W power, respectively, dominated either by the topological surface states or by the bulk. Moreover, by selectively pumping resonant infrared (IR) phonons with the intracavity\u2010generated THz pulses, we induce dynamic lattice distortions that modulate the electronic band structure and further enhance the nonlinear optical susceptibilities. The interplay between phonon\u2010driven lattice anharmonicities and the topologically protected surface states, leads to a pronounced enhancement in nonlinear THz response, offering new mechanisms for nonperturbative light\u2013matter interactions in quantum materials. Our findings establish a novel versatile framework for compact, tunable sources of coherent radiation across multiple frequency bands, so far inaccessible in a solid\u2010state laser, and pave the way for applications in integrated photonics, on\u2010chip frequency conversion, and quantum information processing.<\/jats:p>","DOI":"10.1002\/adma.75115","type":"journal-article","created":{"date-parts":[[2026,10,2]],"date-time":"2026-10-02T13:55:07Z","timestamp":1790949307000},"update-policy":"https:\/\/doi.org\/10.1002\/crossmark_policy","source":"Crossref","is-referenced-by-count":0,"title":["Parity\u2010Dependent THz Harmonic Generation in Electrically Pumped Micro\u2010Lasers Exploiting Topological Insulator\u2013Metamaterial Gratings"],"prefix":"10.1002","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-1261-8575","authenticated-orcid":false,"given":"Alessandra","family":"Di Gaspare","sequence":"first","affiliation":[{"name":"Istituto Nanoscienze CNR NEST and Scuola Normale Superiore  Pisa Italy"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Craig S.","family":"Knox","sequence":"additional","affiliation":[{"name":"School of Electronic and Electrical Engineering University of Leeds  Leeds UK"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-6042-7730","authenticated-orcid":false,"given":"Ahmet","family":"Yagmur","sequence":"additional","affiliation":[{"name":"School of Physics and Astronomy University of Leeds  Leeds UK"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Sara","family":"Ghayeb Zamharir","sequence":"additional","affiliation":[{"name":"Istituto Nanoscienze CNR NEST and Scuola Normale Superiore  Pisa Italy"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Lianhe","family":"Li","sequence":"additional","affiliation":[{"name":"School of Electronic and Electrical Engineering University of Leeds  Leeds UK"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-8915-6735","authenticated-orcid":false,"given":"Satoshi","family":"Sasaki","sequence":"additional","affiliation":[{"name":"School of Physics and Astronomy University of Leeds  Leeds UK"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-1987-4846","authenticated-orcid":false,"given":"A. 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