Electronic components with negative differential resistance (NDR) are essential in power electronics to build Gunn diodes, varactors, parametric amplifiers and switching circuits. However, their implementation through silicon-based electronics is costly and demands complex circuitry and components. Here, we introduce for the first time a class of hybrid carbon-based and organic aerogels, prepared at liquid nitrogen temperature (77 K) by a simple and scalable freeze-drying method. These cryogels exhibit NDR. In these cryogels, the carbonaceous phase is represented by d-glucose-graphene oxide nanocomposites while the organic phase is represented by polyvinylidene difluoride (PVDF), a ferroelectric polymer. NDR in our samples is assigned to the local electric field effects of PVDF on the charge carriers of more electrically conducting graphene oxide and d-glucose. Through an operando study via scanning near-field optical microscopy, we also show that low thermal expansion and low thermal conductivity are essential to prevent undesired effects in our devices through parasitic capacitance's discharge.