{"paper":{"title":"Quantum Theory of the Third-Harmonic Generation in Graphene","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.mes-hall","authors_text":"S. A. Mikhailov","submitted_at":"2014-07-30T19:38:33Z","abstract_excerpt":"A quantum theory of the third-harmonic generation in graphene is presented. An analytical formula for the nonlinear conductivity tensor $\\sigma^{(3)}_{\\alpha\\beta\\gamma\\delta}(\\omega,\\omega,\\omega)$ is derived. Resonant maxima of the third harmonic are shown to exist at low frequencies $\\omega\\ll E_F/\\hbar$, as well as around the frequency $\\omega=2E_F/\\hbar$, where $E_F$ is the Fermi energy in graphene. At the input power of a CO$_2$ laser ($\\lambda\\approx 10$ $\\mu$m) of about 1 MW/cm$^2$ the output power of the third-harmonic ($\\lambda\\approx 3.3$ $\\mu$m) is expected to be $\\simeq 50$ W/cm$^"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1407.8169","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"}