Tracer tests are commonly used to characterize fracture-dominated reservoirs. Both, heat and solute tracers provide information about the hydraulic properties and the fluid flow geometries of the reservoir. Due to the strong interaction of heat tracers with the rock matrix, they lag behind solute tracers and are strongly attenuated. Here, we perform joint solute and heat tracer transport simulations through a single rough fracture to analyze the characteristic lag time and thermal attenuation. We present our results in the context of existing analytical expressions for two simplified flow geometries: parallel plates with a dipole flow field and channel(s) with a linear flow field. Heat exchange between the fracture and the surrounding rock matrix, and subsequent diffusion in the rock is one-dimensional (advection-time exponent 2.0) for the former geometry and radial (advection-time exponent 3.0) for the latter. Our results show that for rough fractures, in a log-log plot, thermal attenuation decreases over advection-time with an average slope of -2.2 (advection-time exponent 2.2). This implies that the overall heat exchange is closer to the parallel plate than to the channel geometry, although radial heat exchange occurs locally. One-dimensional heat exchange dominates the overall heat exchange because well-connected, preferential flow paths between the injector and producer, with continuously high fluxes are rare in single rough fractures. Moreover, our results show that solute tracers access the entire fracture, while heat tracer breakthrough is governed by one or two flow paths. In summary, fracture roughness and three-dimensional heat conduction in the rock matrix play an important role for heat tracer recovery as the resulting flow paths can increase or reduce their breakthrough time and amplitude.