Nonlinear Ohmic electromagnetic response

• URL: http://arxiv.org/abs/2605.16367v1
• Date: Sun, 10 May 2026 03:44:58 GMT
• Title: Nonlinear Ohmic electromagnetic response
• Abstract summary: We investigate nonlinear Ohmic responses in second-harmonic generation and bilinear magnetoelectric effects.<n>We predict a previously unrecognized intrinsic Ohmic conductivity arising from band geometry in the bilinear magnetoelectric response.<n>Our work provides a systematic quantum field-theoretic framework for describing nonlinear Ohmic transport in condensed matter systems.
• Score: 1.046691290916678
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: We systematically investigate nonlinear Ohmic responses in second-harmonic generation and bilinear magnetoelectric effects within the Matsubara Green's function formalism. The optical nonlinear Ohmic conductivity is shown to consist of a nonlinear Drude-like part and an intrinsic term determined by the fully symmetrized normalized quantum metric dipole. Notably, we predict a previously unrecognized intrinsic Ohmic conductivity arising from band geometry in the bilinear magnetoelectric response, which exhibits transverse behavior similar to its optical counterpart. Using a two-dimensional Dirac model, we demonstrate that this geometrically induced nonlinear Ohmic response is observable in materials with high Fermi velocity and narrow band gaps. Our work provides a systematic quantum field-theoretic framework for describing nonlinear Ohmic transport in condensed matter systems.

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