Fu, WenboSachdev, Subir2016-09-122016Fu, Wenbo, and Subir Sachdev. 2016. “Numerical Study of Fermion and Boson Models with Infinite-Range Random Interactions.” Physical Review B 94 (3) (July 15). doi:10.1103/physrevb.94.035135.2469-9950http://nrs.harvard.edu/urn-3:HUL.InstRepos:28410167We present numerical studies of fermion and boson models with random all-to-all interactions (the SYK models). The high temperature expansion and exact diagonalization of the N-site fermion model are used to compute the entropy density: our results are consistent with the numerical solution of N = 1 saddle point equations, and the presence of a non-zero entropy density in the limit of vanishing temperature. The exact diagonalization results for the fermion Green’s function also appear to converge well to the N = 1 solution. For the hard-core boson model, the exact diagonalization study indicates spin glass order. Some results on the entanglement entropy and the out-of-time-order correlators are also presented.en-USJournal Article2016-09-1210.1103/physrevb.94.035135