Dynamical Mean Field Studies of Infinite Layer Nickelates: Physics Results and Methodological Implications

Abstract

This article summarizes recent work on the many-body (beyond density functional theory) electronic structure of layered rare-earth nickelates, both in the context of the materials themselves and in comparison to the high-temperature superconducting (high-$T_c$) layered copper-oxide compounds. It aims to outline the current state of our understanding of layered nickelates and to show how the analysis of these fascinating materials can shed light on fundamental questions in modern electronic structure theory. A prime focus is determining how the interacting physics defined over a wide energy range can be estimated and "downfolded" into a low energy theory that would describe the relevant degrees of freedom on the $\sim 0.5$ eV scale and that could be solved to determine superconducting and spin and charge density wave phase boundaries, temperature-dependent resistivities, and dynamical susceptibilities.

34 pages, 10 figuress and 2 tables. An invited review by Frontiers in Physics as part of a collection on nickelate superconductors

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Cited by in corpus (9)

• Magnetic properties and pseudogap formation in infinite-layer nickelates: insights from the single-band Hubbard model
• Emergent flat-band physics in $d^{9-\delta }$ multilayer nickelates
• Spin-density, charge- and bond-disproportionation wave instability in hole-doped infinite-layer $R$NiO${}_2$
• Stabilization of singlet hole-doped state in infinite-layer nickelate superconductors
• Scanning SQUID study of ferromagnetism and superconductivity in infinite-layer nickelates
• Conductivity of infinite-layer NdNiO${}_2$ as a probe of spectator bands
• Real space representation of topological system: twisted bilayer graphene as an example
• Intrinsic coherence length anisotropy in nickelate, and some pnictide, and chalcogenide superconductors
• Quasiparticle approach to the transport in infinite-layer nickelates