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ALMA observations have detected extended ($\simeq 10$ kpc) [C II] halosaround high-redshift ($z \gtrsim 5$) star-forming galaxies. If such extendedstructures are common, they may have an impact on the line intensity mapping(LIM) signal. We compute the LIM power spectrum including both the centralgalaxy and the [C II] halo, and study the detectability of such signal in anALMA LIM survey. We model the central galaxy and the [C II] halo brightnesswith a S\'ersic+exponential profile. The model has two free parameters: theeffective radius ratio $f_{R_e}$, and the central surface brightness ratio,$f_{\Sigma}$, between the two components. [C II] halos can significantly boostthe LIM power spectrum signal. For example, for relatively compact [C II] halos($f_\Sigma=0.4$, $f_{R_{\rm e}}=2.0$), the signal is boosted by $\simeq 20$times; for more extended and diffuse halos ($f_\Sigma=0.1, f_{R_{\rm e}}=6.0$),the signal is boosted by $\simeq 100$ times. For the ALMA ASPECS survey(resolution $\theta_{\rm beam} = 1.13''$, survey area $\Omega_{\rmsurvey}=2.9\,\rm arcmin^{2}$), the [C II] power spectrum is detectable only ifthe deL14d [C II] - SFR relation holds. However, with an optimized survey($\theta_{\rm beam} = 0.232''$, $\Omega_{\rm survey}=2.0\,\rm deg^{2}$), thepower spectrum is detectable for almost all the [C II] - SFR relationsconsidered in this paper. Such a survey can constrain $f_\Sigma$ ($f_{R_{\rme}}$) with a relative uncertainty of $\sim 15\%$ ($\sim 10\%$). A successfulLIM experiment will provide unique constraints on the nature, origin, andfrequency of extended [C II] halos, and the [C II] - SFR relation at earlytimes.

The power spectrum of extended [C II] halos around high redshift galaxies