Supersymmetry method in the study of disordered systems

Tkachuk

V. A. Andreev

Alejandro Frank, Jan Jolie, Pieter Van Isacker

Alejandro Frank, P. Van Isacker, Jan Jolie

Tigran Sedrakyan, K. B. Efetov

The supersymmetry technique has proven to be an efficient method for studying disordered and chaotic systems as well as random matrix models. So far, it has been used for noninteracting systems only. Here, contrary to general belief, the robust methodology of supersymmetry to handle disordered and chaotic many-body systems is shown to work in effectively zero space dimensions. Within this framework, nonperturbative results are obtained for the celebrated Sachdev-Ye-Kitaev non-Fermi-liquid theory.

Arianna Montorsi, Mario Rasetti, A. I. Solomon