@article{ISI:000435333100003, abstract = {We address the key open problem of a higher-dimensional generalization of the Sachdev-Ye-Kitaev (SYK) model. We construct a model on a lattice of SYK dots with nonrandom intersite hopping. The crucial feature of the resulting band dispersion is the presence of a Lifshitz point where two bands touch with a tunable power-law divergent density of states (DOS). For a certain regime of the power-law exponent, we obtain a class of interaction-dominated non-Fermi-liquid (NFL) states, which exhibits exciting features such as a zero-temperature scaling symmetry, an emergent (approximate) time reparameterization invariance, a power-law entropy-temperature relationship, and a fermion dimension that depends continuously on the DOS exponent. Notably, we further demonstrate that these NFL states are fast scramblers with a Lyapunov exponent lambda(L) proportional to T, although they do not saturate the upper bound of chaos, rendering them truly unique.}, article-number = {241106}, author = {Haldar, Arijit and Banerjee, Sumilan and Shenoy, Vijay B.}, doi = {10.1103/PhysRevB.97.241106}, eissn = {2469-9969}, issn = {2469-9950}, journal = {PHYSICAL REVIEW B}, month = {JUN 14}, number = {24}, orcid-numbers = {Haldar, Arijit/0000-0003-1962-1707}, title = {Higher-dimensional Sachdev-Ye-Kitaev non-Fermi liquids at Lifshitz transitions}, unique-id = {ISI:000435333100003}, volume = {97}, year = {2018} }