Abstract
The physics of many interesting correlated materials can be captured by multiorbital Hubbard models, where conduction electrons feature an additional orbital degree of freedom. The multiorbital characteristic is not a mere complication, but it leads to an immensely richer landscape of physical regimes. One of the key features is the interplay between Hubbard repulsion and Hund’s exchange coupling, which has been shown to lead to orbital-selective correlations and to the existence of correlation-resilient metals (usually called Hund’s metals) defying Mott localization. Here, we show that experimentally available platforms of SU(N)-symmetric ultracold atoms can indeed mimic the rich physics disclosed by multiorbital materials, by exploiting the internal degrees of freedom of multicomponent atoms. We discuss in detail the SU(N) version of interaction-resilient Hund’s metal and some other interesting regimes.
Highlights
A large number of materials with conceptual and practical interest require a multiorbital description, in which different atomic levels must be taken into account
We take a broader perspective and we show that similar physics can be realized in a wider class of multicomponent quantum systems when the Hubbard U competes with other energy scales
We show that the interesting physics occurring in multiorbital solidstate systems can be effectively mimicked by experimentally available multiflavor atomic platforms
Summary
A large number of materials with conceptual and practical interest require a multiorbital description, in which different atomic levels must be taken into account. Hubbard model with a suitable single-particle patterned potential, whose phase diagram hosts different kinds of strongly correlated insulators, as well as interaction-resilient metallic regions. We discuss how this scenario mirrors the one disclosed by the three-orbital. Hamiltonian (1) can be supplemented by additional processes [32], either in order to better model a real-world experimental apparatus (e.g., to account for the presence of an external, often harmonic, trapping potential), or to access even wider and more interesting physical scenarios, such as the quantum simulation of multicomponent materials In the associated phase diagram, these two insulating solutions are known to be separated by a narrow stripe-like region, where, depending on the system dimensionality, a metallic [48] or a bond-order-wave phase [49] (featuring staggered kinetic energy on the bonds) can be found
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