Quantum phase transition between orbital-selective Mott states in Hund's metals

Abstract

We report a quantum phase transition between orbital-selective Mott states, with different localized orbitals, in a Hund's metals model. Using the density matrix renormalization group, the phase diagram is constructed varying the electronic density and Hubbard $U$, at robust Hund's coupling. We demonstrate that this transition is preempted by charge fluctuations and the emergence of free spinless fermions, as opposed to the magnetically-driven Mott transition. The Luttinger correlation exponent is shown to have a universal value in the strong-coupling phase, whereas it is interaction dependent at intermediate couplings. At weak coupling we find a second transition from a normal metal to the intermediate-coupling phase.

arXiv comment5+3 pages, 5+4 figures

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• Non-local correlations in the orbital selective Mott phase of a one dimensional multi-orbital Hubbard model
• Density matrix renormalization group study of a three-orbital Hubbard model with spin-orbit coupling in one dimension
• Differentiating Hund from Mott physics in a three-band Hubbard-Hund model: Temperature dependence of spectral, transport, and thermodynamic properties
• Realization of the orbital-selective Mott state at the molecular level in Ba${}_3$LaRu${}_2$O${}_9$
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• Prediction of exotic magnetic states in the alkali metal quasi-one-dimensional iron selenide compound Na${}_2$FeSe${}_2$
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• Prediction of orbital selective Mott phases and block magnetic states in the quasi-one-dimensional iron chain Ce${}_2$O${}_2$FeSe${}_2$ under hole and electron doping
• Quantum magnetism of iron-based ladders: Blocks, spirals, and spin flux
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• Kanamori-Moiré-Hubbard model for transition metal dichalcogenide homobilayers
• Novel Block Excitonic Condensate at $n=3.5$ in a Spin-Orbit Coupled $t_{2g}$ Multiorbital Hubbard Model
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• The Iso-electronic Series $C{a}_{2-x}S{r}_{x}Ru{O}_4$: Structural Distortion, Effective Dimensionality, Spin Fluctuations and Quantum Criticality
• Quantitative determination of the orbital-selective Mott transition and quantum entanglement in the orbital-selective Mott phase