Shot noise in correlated electron systems

Shot noise is a powerful tool to investigate strong correlations in quantum materials [1]. It probes fluctuations of the electric current, and has been employed in the measurement of the elementary charge carried by quasiparticles. In this work we study quantum shot noise in a correlated diffusive metal by constructing a Boltzmann transport equation suitable for the regime of strong correlations. This allows us to address the general effect of electron correlations on the Fano factor, the ratio of the current noise to the current in the DC limit. Calculations of the Fano factor in specific correlated models will also be reported. We discuss the relevance of our results to recent shot noise experiments in the strange-metal regime of a quantum critical heavy fermion metal YbRh2Si2 [2].

[1] Ya. M. Blanter, M. Buttiker, Phys. Rep. 336, 1 (2000).

[2] L. Chen et al, arXiv:2206.00673