24–28 Jul 2023
MPI-FKF
Europe/Berlin timezone

Characteristic Timescales and Longterm-Memory Effects in Correlated Many-Electron Systems

27 Jul 2023, 11:15
30m
2D5 (MPI-FKF)

2D5

MPI-FKF

Invited Talk Mott is Different

Speaker

Alessandro Toschi (TU Wien)

Description

Our perception of the natural world is significantly shaped by the properties of the detection process considered. One crucial aspect is the timescale of the probing mechanism: If this is larger than the typical timescales of the phenomenon under investigation, only averaged information will be gained.
I will illustrate the importance of this aspect for the comparison of experimental observations and theoretical calculations of correlated quantum materials, by hands of an ab-initio+dynamical mean-field study [1] of the on-site magnetic fluctuations in several Fe-bases pnictides and chalcogenides. In this respect, I will also highlight the pivotal role played by vertex corrections in driving the slowing-down of the temporal magnetic fluctuations, as it occurs, e.g., in the proximity of Mott-Hubbard/Hund's-Mott metal-to-insulator transitions and of quantum critical points.
Further, I will examine the situations in which the information encoded in the dynamical correlation functions does not completely vanish even in the infinite-time limit, by hands [2] of exact-diagonalization and dynamical mean-field calculations of Hubbard rings and of the Hubbard model, respectively. This analysis will illustrate how to link the asymptotic long-time response of correlated electrons to intrinsic features of the underlying (exact) many-particle energy spectrum, as well as, perspectively, to the entropy of the system under consideration.


[1] C. Watzenböck, M. Edelmann, D. Springer, G. Sangiovanni, & A Toschi
Phys. Rev. Lett. 125, 086402 (2020).
[2] C. Watzenböck, M. Fellinger, K. Held, & A. Toschi, SciPost Physics 12, 184 (2022); E. Moghadas, et al., unpublished.

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