3 years ago

Non-ergodic extended states in the SYK model.

T. Micklitz, Felipe Monteiro, Alexander Altland

We analytically study spectral correlations and many body wave functions of an SYK-model deformed by a one body contribution to the Hamiltonian. Our main result is the identification of a wide range of intermediate coupling strengths where the spectral statistics is of Wigner-Dyson type, while wave functions are non-uniformly distributed over Fock space and show fractal behavior. The structure of the theory suggests that such manifestations of non-ergodic extendedness may be a prevalent phenomenon in strongly interacting chaotic quantum systems.

Publisher URL: http://arxiv.org/abs/1901.02389

DOI: arXiv:1901.02389v2

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