The electronic and thermal transport properties have been systematically investigated in monolayer CNH with first-principles calculations. The intrinsic thermal conductivity of monolayer CNH was calculated coupling with phonons Boltzmann transport equation. For monolayer CNH, the thermal conductivity (\k{appa}) (175.74 and 157.90 W m-1K-1 with a and b-plane, respectively) is significantly lower than that of graphene (3500 WmK) and C3N(380 WmK). Moreover, it is more than the second time higher than CN (82.88 WmK) at 300 K. Furthermore, the group velocities, relax time, anharmonicity, as well as the contribution from different phonon branches, were thoroughly discussed in detail. A comparison of the thermal transport characters among 2D structure for monolayer CNH, graphene, CN and CN has been discussed. This work highlights the essence of phonon transport in new monolayer material.

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