Hidden orders in spin-orbit entangled correlated insulators

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Hauptverfasser: Pourovskii, Leonid V., Mosca, Dario Fiore, Celiberti, Lorenzo, Khmelevskyi, Sergii, Paramekanti, Arun, Franchini, Cesare
Format: Preprint
Veröffentlicht: 2025
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author Pourovskii, Leonid V.
Mosca, Dario Fiore
Celiberti, Lorenzo
Khmelevskyi, Sergii
Paramekanti, Arun
Franchini, Cesare
author_facet Pourovskii, Leonid V.
Mosca, Dario Fiore
Celiberti, Lorenzo
Khmelevskyi, Sergii
Paramekanti, Arun
Franchini, Cesare
contents In many materials, ordered phases and their order parameters are easily characterized by standard experimental methods. "Hidden order" refers to a phase transition in which an ordered state emerges without such an easily detectable order parameter, despite clear thermodynamic evidence of the transition. The underlying mechanisms for these unconventional states of matter stem from spin-orbit coupling, which intertwines inter-site exchange, classical electron-magnetic interactions, and electron-lattice effects. This physics is elusive to experimental probes and beyond traditional theories of insulating magnetism, requiring sophisticated methodologies for its exploration. In this Review, we survey exotic hidden-order phases in correlated insulators, particularly focusing on the latest progress in material-specific theories and numerical approaches. The relevant degrees of freedom in these phases are local high-rank multipole moments of magnetic and charge density that emerge from spin-orbit entangled correlated shells of heavy d and f electron ions and interact on the lattice via various mechanisms. We discuss approaches to modelling hidden orders in realistic systems via direct ab initio calculations or by constructing low-energy many-body effective Hamiltonian. We also describe how these new theoretical tools have helped to uncover driving mechanisms for recently discovered multipolar phases in double perovskites of heavy transition metals, and how they have proved instrumental in disentangling the role of various interactions in "traditional" f-electron multipolar materials like actinide dioxides. In both cases, material-specific theories have played a key role in interpreting and predicting experimental signatures of hidden orders.
format Preprint
id arxiv_https___arxiv_org_abs_2509_01788
institution arXiv
publishDate 2025
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spellingShingle Hidden orders in spin-orbit entangled correlated insulators
Pourovskii, Leonid V.
Mosca, Dario Fiore
Celiberti, Lorenzo
Khmelevskyi, Sergii
Paramekanti, Arun
Franchini, Cesare
Strongly Correlated Electrons
In many materials, ordered phases and their order parameters are easily characterized by standard experimental methods. "Hidden order" refers to a phase transition in which an ordered state emerges without such an easily detectable order parameter, despite clear thermodynamic evidence of the transition. The underlying mechanisms for these unconventional states of matter stem from spin-orbit coupling, which intertwines inter-site exchange, classical electron-magnetic interactions, and electron-lattice effects. This physics is elusive to experimental probes and beyond traditional theories of insulating magnetism, requiring sophisticated methodologies for its exploration. In this Review, we survey exotic hidden-order phases in correlated insulators, particularly focusing on the latest progress in material-specific theories and numerical approaches. The relevant degrees of freedom in these phases are local high-rank multipole moments of magnetic and charge density that emerge from spin-orbit entangled correlated shells of heavy d and f electron ions and interact on the lattice via various mechanisms. We discuss approaches to modelling hidden orders in realistic systems via direct ab initio calculations or by constructing low-energy many-body effective Hamiltonian. We also describe how these new theoretical tools have helped to uncover driving mechanisms for recently discovered multipolar phases in double perovskites of heavy transition metals, and how they have proved instrumental in disentangling the role of various interactions in "traditional" f-electron multipolar materials like actinide dioxides. In both cases, material-specific theories have played a key role in interpreting and predicting experimental signatures of hidden orders.
title Hidden orders in spin-orbit entangled correlated insulators
topic Strongly Correlated Electrons
url https://arxiv.org/abs/2509.01788