Electron quasi-itinerancy intertwined with quantum order by disorder in pyrochlore iridate magnetism

We point out the emergence of magnetism from the interplay of electron quasi-itinerancy and quantum order by disorder in pyrochlore iridates. Like other Mott insulating iridates, the Ir^{4+} ion in pyrochlore iridates develops an effective J=1/2 moment from the on-site spin-orbit coupling. We consid...

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Main Authors: Gang Chen, Xiaoqun Wang
Format: Article
Language:English
Published: American Physical Society 2020-11-01
Series:Physical Review Research
Online Access:http://doi.org/10.1103/PhysRevResearch.2.043273
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author Gang Chen
Xiaoqun Wang
author_facet Gang Chen
Xiaoqun Wang
author_sort Gang Chen
collection DOAJ
description We point out the emergence of magnetism from the interplay of electron quasi-itinerancy and quantum order by disorder in pyrochlore iridates. Like other Mott insulating iridates, the Ir^{4+} ion in pyrochlore iridates develops an effective J=1/2 moment from the on-site spin-orbit coupling. We consider the generic symmetry-allowed exchange between these local moments on a pyrochlore lattice and obtain the mean-field phase diagram. Assuming the superexchange is mediated by direct and/or indirect electron hopping via intermediate oxygens, we derive the exchange interactions in the strong-coupling regime from the Hubbard model. This exchange has a degenerate classical ground-state manifold, and quantum fluctuation selects a noncoplanar ground state, known as quantum order by disorder. Extending to the intermediate-coupling regime, the same noncoplanar order is selected from the degenerate manifold by the kinetic energy, which is dubbed “electron quasi-itinerancy.” We discuss the experimental relevance of our results and electron quasi-itinerancy among other iridates and 4d/5d magnets.
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spelling doaj.art-bf60867e49cc4fab8fed9f4937c83e732024-04-12T17:04:18ZengAmerican Physical SocietyPhysical Review Research2643-15642020-11-012404327310.1103/PhysRevResearch.2.043273Electron quasi-itinerancy intertwined with quantum order by disorder in pyrochlore iridate magnetismGang ChenXiaoqun WangWe point out the emergence of magnetism from the interplay of electron quasi-itinerancy and quantum order by disorder in pyrochlore iridates. Like other Mott insulating iridates, the Ir^{4+} ion in pyrochlore iridates develops an effective J=1/2 moment from the on-site spin-orbit coupling. We consider the generic symmetry-allowed exchange between these local moments on a pyrochlore lattice and obtain the mean-field phase diagram. Assuming the superexchange is mediated by direct and/or indirect electron hopping via intermediate oxygens, we derive the exchange interactions in the strong-coupling regime from the Hubbard model. This exchange has a degenerate classical ground-state manifold, and quantum fluctuation selects a noncoplanar ground state, known as quantum order by disorder. Extending to the intermediate-coupling regime, the same noncoplanar order is selected from the degenerate manifold by the kinetic energy, which is dubbed “electron quasi-itinerancy.” We discuss the experimental relevance of our results and electron quasi-itinerancy among other iridates and 4d/5d magnets.http://doi.org/10.1103/PhysRevResearch.2.043273
spellingShingle Gang Chen
Xiaoqun Wang
Electron quasi-itinerancy intertwined with quantum order by disorder in pyrochlore iridate magnetism
Physical Review Research
title Electron quasi-itinerancy intertwined with quantum order by disorder in pyrochlore iridate magnetism
title_full Electron quasi-itinerancy intertwined with quantum order by disorder in pyrochlore iridate magnetism
title_fullStr Electron quasi-itinerancy intertwined with quantum order by disorder in pyrochlore iridate magnetism
title_full_unstemmed Electron quasi-itinerancy intertwined with quantum order by disorder in pyrochlore iridate magnetism
title_short Electron quasi-itinerancy intertwined with quantum order by disorder in pyrochlore iridate magnetism
title_sort electron quasi itinerancy intertwined with quantum order by disorder in pyrochlore iridate magnetism
url http://doi.org/10.1103/PhysRevResearch.2.043273
work_keys_str_mv AT gangchen electronquasiitinerancyintertwinedwithquantumorderbydisorderinpyrochloreiridatemagnetism
AT xiaoqunwang electronquasiitinerancyintertwinedwithquantumorderbydisorderinpyrochloreiridatemagnetism