Abstract
We study the SYK model with complex fermions, in the presence of an all-to-all q-body interaction, with a non-vanishing chemical potential. We find that, in the large q limit, this model can be solved exactly and the corresponding Lyapunov exponent can be obtained semi-analytically. The resulting Lyapunov exponent is a sensitive function of the chemical potential μ. Even when the coupling J, which corresponds to the disorder averaged values of the all to all fermion interaction, is large, values of μ which are exponentially small compared to J lead to suppression of the Lyapunov exponent.
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Bhattacharya, R., Chakrabarti, S., Jatkar, D.P. et al. SYK model, chaos and conserved charge. J. High Energ. Phys. 2017, 180 (2017). https://doi.org/10.1007/JHEP11(2017)180
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DOI: https://doi.org/10.1007/JHEP11(2017)180