Higher Dimensional Generalizations of the SYK Model
High Energy Physics - Theory
2017-03-08 v2 Strongly Correlated Electrons
Abstract
We discuss a 1+1 dimensional generalization of the Sachdev-Ye-Kitaev model. The model contains Majorana fermions at each lattice site with a nearest-neighbour hopping term. The SYK random interaction is restricted to low momentum fermions of definite chirality within each lattice site. This gives rise to an ordinary 1+1 field theory above some energy scale and a low energy SYK-like behavior. We exhibit a class of low-pass filters which give rise to a rich variety of hyperscaling behaviour in the IR. We also discuss another set of generalizations which describes probing an SYK system with an external fermion, together with the new scaling behavior they exhibit in the IR.
Cite
@article{arxiv.1610.02422,
title = {Higher Dimensional Generalizations of the SYK Model},
author = {Micha Berkooz and Prithvi Narayan and Moshe Rozali and Joan Simón},
journal= {arXiv preprint arXiv:1610.02422},
year = {2017}
}
Comments
23 pages, 3 figures. Minor changes