In the first part of the seminar, we will discuss a microscopical point of view of strongly correlated theory. We will compare the solution of the Hubbard model
by using continuous time quantum Monte Carlo with Dynamical Cluster Approximation (DCA), Cellular Dynamical Mean-Field Theory (CDMFT) and the Dimer Hubbard model on the Bethe lattice to address the unusual features of the normal-state phenomena.
In the second part, we will address the complexity of experiment on resistive switching that can be understood by the use of the resistor network model.
We will see how in VO2 the ability to induce volatile resistive switching create conductive filaments, a key feature for developing novel hardware for neuromorphic.
Instead, in LSMO we found that the opposite type of resistive switching, from a metal into an insulator, occurs in a reciprocal characteristic spatial pattern: the formation of an insulating barrier perpendicular to the driving current.
References:
Fratino, L., Sémon, P., Sordi, G., & Tremblay, A. (2016). An organizing principle for two-dimensional strongly correlated superconductivity. Scientific reports, 6(1), 1-6
https://www.nature.com/articles/srep22715
Fratino, L., Shinaoka, H., Nomura, Y., De Medici, L., in preparation
Cheng, S., Lee, M. H., Li, X., Fratino, L., Tesler, F., Han, M. G., ... & Zhu, Y. (2021). Operando characterization of conductive filaments during resistive switching in Mott VO2. Proceedings of the National Academy of Sciences, 118(9)
https://www.pnas.org/doi/10.1073/pnas.2013676118
Salev, P., Fratino, L., Sasaki, D., Berkoun, R., Del Valle, J., Kalcheim, Y., ... & Schuller, I. K. (2021). Transverse barrier formation by electrical triggering of a metal-to-insulator transition. Nature communications, 12(1), 1-7. Nature communications, 12(1), 2021
https://www.nature.com/articles/s41467-021-25802-1
Del Valle, J., Vargas, N.M., Rocco, R., Salev, P., Kalcheim, Y., Lapa, P.N., Adda, C., Lee, M.H., Wang, P.Y., Fratino, L. and Rozenberg, M.J., 2021. Spatiotemporal characterization of the field-induced insulator-to-metal transition. Science, 373(6557)
https://www.science.org/doi/full/10.1126/science.abd9088?casa_token=By5zscjaND0AAAAA:WiHL8jqlWWGTo5Ax_FO2_Ar7XuiNQzXHsWC6Gp-VneRjGSyt2ATI5si6PSM8fMlGi3Ovn2FZ2aIopA