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Spin transport of weakly disordered Heisenberg chain at infinite temperature

Ilia Khait, Technion - Israel Institute of Technology, Haifa, Israel

08.02.2017 at 14:00 

We study the dynamical properties of the one dimensional Heisenberg model at infinite temperature in the presence of quenched disorder. This model is expected to exhibit a many body localization (MBL) transition at strong disorder. We compute the local dynamical spin correlation function and the ac conductivity using a nonperturbative continued fraction expansion.
Our main finding is the emergence of subdiffusive transport for arbitrarily weak disorder. The lack of a true diffusive phase contrasts with previous results and expectations obtained from exact diagonalization studies. In this seminar I will  illustrate the method, describe its advantages and strengths and will show where it fails.

A 449, Theresienstr. 37