Asban, OfekAmir, ArielImry, YosephSchechter, Moshe2019-09-262017Asban, Ofek, Ariel Amir, Yoseph Imry, and Moshe Schechter. 2017. “Effect of Interactions and Disorder on the Relaxation of Two-Level Systems in Amorphous Solids.” Physical Review B 95 (14). https://doi.org/10.1103/physrevb.95.144207.1098-01211550-235Xhttp://nrs.harvard.edu/urn-3:HUL.InstRepos:41412238At low temperatures the dynamical degrees of freedom in amorphous solids are tunneling two-level systems (TLSs). Concentrating on these degrees of freedom, and taking into account disorder and TLS-TLS interactions, we obtain a "TLS glass," described by the random-field Ising model with random 1/r3 interactions. In this paper we perform a self-consistent mean-field calculation, previously used to study the electron-glass (EG) model [A. Amir et al., Phys. Rev. B 77, 165207 (2008)]. Similarly to the electron glass, we find a 1. distribution of relaxation rates., leading to logarithmic slow relaxation. However, with increased interactions the EG model shows slower dynamics whereas the TLS-glass model shows faster dynamics. This suggests that given system-specific properties, glass dynamics can be slowed down or sped up by the interactions.en-USJournal Article2019-09-2610.1103/PhysRevB.95.144207