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J Freezing and Hund’s Rules in Spin-Orbit-Coupled Multiorbital Hubbard Models

2016/07/31 by Aaram J. Kim, Harald O. Jeschke, Philipp Werner +1 · 4 citations
Materials Science · Mathematics · Physics and Astronomy · #Advanced Condensed Matter Physics #Condensed matter physics #Hubbard model #Magnetic and transport properties of perovskites and related materials #Mathematics #Monte Carlo method #Order (exchange) #Phase (matter) #Phase diagram #Physics #Physics of Superconductivity and Magnetism #Quantum Monte Carlo #Quantum mechanics #Spin (aerodynamics) #Statistics #Superconductivity #Thermodynamics #cond-mat.str-el

paper · pdf · doi:10.1103/physrevlett.118.086401

published as Phys. Rev. Lett. 118, 086401 (2017) · 13 pages, 10 figures

openalex created_date 2016/08/23 · openalex publication_date 2017/02/21 · arxiv created 2017/02/24 · arxiv updated 2017/02/27 · openalex updated_date 2026/08/05

Abstract

We investigate the phase diagram of the spin-orbit-coupled three orbital Hubbard model at arbitrary filling by means of dynamical mean-field theory combined with the continuous-time quantum Monte Carlo method. We find that the spin-freezing crossover occurring in the metallic phase of the nonrelativistic multiorbital Hubbard model can be generalized to a J-freezing crossover, with J=L+S, in the spin-orbit-coupled case. In the J-frozen regime the correlated electrons exhibit a nontrivial flavor selectivity and energy dependence. Furthermore, in the regions near n=2 and n=4 the metallic states are qualitatively different from each other, which reflects the atomic Hund's third rule. Finally, we explore the appearance of magnetic order from exciton condensation at n=4 and discuss the relevance of our results for real materials.

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