Diffusion in higher dimensional SYK model with complex fermions
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by
Wenhe Cai, Xian-Hui Ge, Guo-Hong Yang
2017
Abstract
We construct a new higher dimensional SYK model with complex fermions on
bipartite lattices. As an extension of the original zero-dimensional SYK model,
we focus on the one-dimension case, and similar Hamiltonian can be obtained in
higher dimensions. This model has a conserved U(1) fermion number Q and a
conjugate chemical potential \mu. We evaluate the thermal and charge diffusion
constants via large q expansion at low temperature limit. The results show that
the diffusivity depends on the ratio of free Majorana fermions to Majorana
fermions with SYK interactions. The transport properties and the butterfly
velocity are accordingly calculated at low temperature. The specific heat and
the thermal conductivity are proportional to the temperature. The electrical
resistivity also has a linear temperature dependence term.
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