Linear resistivity and Sachdev-Ye-Kitaev (SYK) spin liquid behavior in a quantum critical metal with spin-$1/2$ fermions
Abstract
`Strange metals' with resistivity depending linearly on temperature down to low- have been a long-standing puzzle in condensed matter physics. Here, we consider a model of itinerant spin- fermions interacting via on-site Hubbard interaction and random infinite-ranged spin-spin interaction. We show that the quantum critical point associated with the melting of the spin-glass phase by charge fluctuations displays non-Fermi liquid behaviour, with local spin dynamics identical to that of the Sachdev-Ye-Kitaev family of models. This extends the quantum spin liquid dynamics previously established in the large- limit of symmetric models, to models with physical spin- electrons. Remarkably, the quantum critical regime also features a Planckian linear- resistivity associated with a -linear scattering rate and a frequency dependence of the electronic self-energy consistent with the Marginal Fermi Liquid phenomenology.
Keywords
Cite
@article{arxiv.2002.07181,
title = {Linear resistivity and Sachdev-Ye-Kitaev (SYK) spin liquid behavior in a quantum critical metal with spin-$1/2$ fermions},
author = {Peter Cha and Nils Wentzell and Olivier Parcollet and Antoine Georges and Eun-Ah Kim},
journal= {arXiv preprint arXiv:2002.07181},
year = {2020}
}