Question: Which domain allowing self-association do exist in TDP-43 and FUS proteins?

Context:
Using transient expression of a panel of deletion and chimeric FUS variants in various cultured cells, we demonstrated that FUS accumulating in the cytoplasm nucleates a novel type of RNA granules, FUS granules (FGs), that are structurally similar but not identical to physiological RNA transport granules. Formation of FGs requires FUS N-terminal prion-like domain and the ability to bind specific RNAs. Clustering of FGs coupled with further recruitment of RNA and proteins produce larger structures, FUS aggregates (FAs), that resemble but are clearly distinct from stress granules.
Approximately 1% of human proteins harbor a prion-like domain (PrLD) of similar low complexity sequence and amino acid composition to domains that drive prionogenesis of yeast proteins like Sup35. PrLDs are over-represented in human RNA-binding proteins and mediate phase transitions underpinning RNP granule assembly. This modality renders PrLDs prone to misfold into conformers that accrue in pathological inclusions that characterize various fatal neurodegenerative diseases. For example, TDP-43 and FUS form cytoplasmic inclusions in amyotrophic lateral sclerosis (ALS) and mutations in TDP-43 and FUS can cause ALS.
FUS and TDP-43, which rank 1st and 10th among RRM-bearing prion candidates, form cytoplasmic inclusions in the degenerating motor neurons of ALS patients and mutations in TDP-43 and FUS cause familial ALS. 
Amyotrophic lateral sclerosis (ALS) is a devastating and universally fatal neurodegenerative disease. Mutations in two related RNA-binding proteins, TDP-43 and FUS, that harbor prion-like domains, cause some forms of ALS.
two RNA-binding proteins, FUS and TDP-43, which form cytoplasmic aggregates in amyotrophic lateral sclerosis, harbor a 'prion domain' similar to those found in several yeast prion proteins.
Mutations in related RNA-binding proteins TDP-43, FUS/TLS and TAF15 have been connected to ALS. These three proteins share several features, including the presence of a bioinformatics-predicted prion domain, aggregation-prone nature in vitro and in vivo and toxic effects when expressed in multiple model systems.
Moreover, two RNA-binding proteins, FUS and TDP-43, which form cytoplasmic aggregates in amyotrophic lateral sclerosis, harbor a 'prion domain' similar to those found in several yeast prion proteins
TDP-43 and FUS and several related RNA-binding proteins harbor aggregation-promoting prion-like domains that allow them to rapidly self-associate.
Molecular cloning of subunit 4 of the complex revealed that it is a proteasome-COP9 complex-eIF3 domain protein encoded by a gene that maps to chromosome 5, near the chromosomal location of the cop8 and fus4 mutations. 
Deletions in the C-terminal domain of TDP-43 that preclude interactions with hnRNP A2/B1 abolish TDP-43-dependent rescue of CGG repeat toxicity.
The rescue appears specific to TDP-43, as co-expression of another ALS-associated RNA-binding protein, FUS, exacerbates the toxic effects of CGG repeats
Recently, through Next-Generation Exome sequencing approaches a mutation resulting in a substitution (p.Q290X) in the nuclear export domain of the FUS protein was nominated as a cause of autosomal dominant essential tremor (ET) in a large kindred
TDP-43 is another RNA-binding protein implicated in ALS
We also provide multiple independent lines of in vitro and in vivo evidence that EWSR1 has similar properties as TDP-43, FUS and TAF15, including aggregation-prone behavior in vitro and ability to confer neurodegeneration in Drosophila.
For TDP-43, both the RRM1 and the C-terminal glycine-rich domain are required for SG localization.
Furthermore, TDP-43 and FUS display distinct domain requirements in aggregate formation and cytotoxicity.
Binding was mediated by an unstructured TDP-43 C-terminal domain and occurred within the context of a 300-400-kDa complex that also contained C-terminal cleavage products of TDP-43 linked to neuropathology.
It was recently found that dominant mutations in two related RNA-binding proteins, TDP-43 (43-kDa TAR DNA-binding domain protein) and FUS/TLS (fused in sarcoma/translated in liposarcoma) cause a subset of ALS.

Answer: PRION PROTEINS
Mutations in related RNA-binding proteins TDP-43, FUS/TLS and TAF15 have been connected to ALS. These three proteins share several features, including the presence of a bioinformatics-predicted prion domain, aggregation-prone nature in vitro and in vivo and toxic effects when expressed in multiple model systems. TDP-43, FUS and TAF15 share similar properties, including aggregation-prone behavior in vitro and ability to confer neurodegeneration in Drosophila. For TDP-43, both the RRM1 and the C-terminal glycine-rich domain are required for SG localization. Moreover, two RNA-binding proteins, FUS and TDP-43, which form cytoplasmic aggregates in amyotrophic lateral sclerosis, harbor a 'prion domain' similar to those found in several yeast prion protein
Scouring the human genome with this algorithm enriches a select group of RNA-binding proteins harboring a canonical RNA recognition motif (RRM) and a putative prion domain. Moreover, two RNA-binding proteins, FUS and TDP-43, which form cytoplasmic aggregates in amyotrophic lateral sclerosis, harbor a 'prion domain' similar to those found in several yeast prion proteins. PrLDs are over-represented in human RNA-binding proteins and mediate phase transitions underpinning RNP granule assembly. For example, TDP-43 and FUS form cytoplasmic inclusions in amyotrophic lateral sclerosis (ALS) and mutations in TDP-43 and FUS can cause ALS.
Two RNA-binding proteins, FUS and TDP-43, which form cytoplasmic aggregates in amyotrophic lateral sclerosis, harbor a 'prion domain' similar to those found in several yeast prion proteins.
Exact answer: Prion-like domain