The metallic state of cuprates is anomalous across most of their phase diagram. Even outside the so-called pseudogap state, sightly overdoped cuprates exhibit a behavior that is characterized by marked violations of the Fermi Liquid paradigm. We propose a scenario where, at low energy dynamical charge density fluctuations (CDF) with finite rather short correlation length mediate a nearly isotropic scattering among the quasiparticles over the entire Fermi surface [1,2]. This leads to strange-metal behavior for temperature above a characteristic energy, introduced by the finite correlation and by the damping of charge density fluctuations, while recovers the Fermi liquid below. The simultaneous presence of a rather flat continuum of ph-excitations, as e.g. overdamped paramagnons, at slightly higher energies generically conspire with the CDF in mimicking the Marginal Fermi Liquid (MFL) behavior. Therefore the CDF and the overdamped paramagnon give a clear and experimentally characterized set of excitations quantitatively and consistently accounting for the transport, thermodynamic, and spectral anomalous (strange-metal) properties of slightly overdoped cuprates. In particular starting from the excitations observed in RIXS[3], the Shrinking Fermi liquid scenario accounts for the linear-in-temperature resistivity, the logarithmically divergent specific heat and Seebeck coefficient, and for the linear-in-magnetic-field magnetoresistance at low temperatures [4]. It also quantitatively accounts for the optical, ARPES, and Raman spectra of strange metal cuprates [4]. In a scenario where the damping of CDF increases by decreasing the temperature, which could arise from a coupling between CDF and diffusive modes [5], the low-temperature Fermi liquid regime shrinks and the strange metallic behavior is extended to the lowest temperatures, possibly giving rise to a peculiar local quantum criticality [3,4].

[1] G. Seibold et al., Commun. Phys. 4, 7 (2021)

[2] S Caprara et al., Commun. Phys. 5, 1-7 (2022).

[3] R. Arpaia, et al., Nat. Commun. 14, 7198 (2023)

[4] S. Caprara, S. Bhattacharyya, C Di Castro, G. Mirarchi, M Grilli, and G Seibold, preprint.

[5] M. Grilli et al., Symmetry 15, 569 (2023).