Magnon dressing by orbital excitations in ferromagnetic planes of K2CuF4 and LaMnO3

We show that even when spins and orbitals disentangle in the ground state, spin excitations are renormalized by the local tuning of e _g orbitals in ferromagnetic planes of K _2 CuF _4 and LaMnO _3 . As a result, dressed spin excitations (magnons) obtained within the electronic model propagate as qu...

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Main Authors: Mateusz Snamina, Andrzej M Oleś
Format: Article
Language:English
Published: IOP Publishing 2019-01-01
Series:New Journal of Physics
Subjects:
Online Access:https://doi.org/10.1088/1367-2630/aaf0d5
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author Mateusz Snamina
Andrzej M Oleś
author_facet Mateusz Snamina
Andrzej M Oleś
author_sort Mateusz Snamina
collection DOAJ
description We show that even when spins and orbitals disentangle in the ground state, spin excitations are renormalized by the local tuning of e _g orbitals in ferromagnetic planes of K _2 CuF _4 and LaMnO _3 . As a result, dressed spin excitations (magnons) obtained within the electronic model propagate as quasiparticles and their energy renormalization depends on momentum $\vec{k}$ . Therefore magnons in spin-orbital systems go beyond the paradigm of the effective Heisenberg model with nearest neighbor spin exchange derived from the ground state—spin-orbital entanglement in excited states predicts large magnon softening at the Brillouin zone boundary, and in case of LaMnO _3 the magnon energy at the M  = ( π , π ) point may be reduced by ∼45%. In contrast, simultaneously the stiffness constant near the Goldstone mode is almost unaffected. We elucidate physics behind magnon renormalization in spin-orbital systems and explain why long wavelength magnons are unrenormalized while simultaneously energies of short wavelength magnons are reduced by orbital fluctuations. In fact, the $\vec{k}$ -dependence of the magnon energy is modified mainly by dispersion which originates from spin exchange between second neighbors along the cubic axes a and b .
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spelling doaj.art-0f000a82066f4d6abf8233457e3d0e0e2023-08-08T14:55:52ZengIOP PublishingNew Journal of Physics1367-26302019-01-0121202301810.1088/1367-2630/aaf0d5Magnon dressing by orbital excitations in ferromagnetic planes of K2CuF4 and LaMnO3Mateusz Snamina0Andrzej M Oleś1https://orcid.org/0000-0002-8954-3233Kazimierz Gumiński Department of Theoretical Chemistry, Faculty of Chemistry, Jagiellonian University , Gronostajowa 2, PL-30387 Kraków, PolandMax Planck Institute for Solid State Research , Heisenbergstrasse 1, D-70569 Stuttgart, Germany; Marian Smoluchowski Institute of Physics, Jagiellonian University , Prof. S. Łojasiewicza 11, PL-30348 Kraków, PolandWe show that even when spins and orbitals disentangle in the ground state, spin excitations are renormalized by the local tuning of e _g orbitals in ferromagnetic planes of K _2 CuF _4 and LaMnO _3 . As a result, dressed spin excitations (magnons) obtained within the electronic model propagate as quasiparticles and their energy renormalization depends on momentum $\vec{k}$ . Therefore magnons in spin-orbital systems go beyond the paradigm of the effective Heisenberg model with nearest neighbor spin exchange derived from the ground state—spin-orbital entanglement in excited states predicts large magnon softening at the Brillouin zone boundary, and in case of LaMnO _3 the magnon energy at the M  = ( π , π ) point may be reduced by ∼45%. In contrast, simultaneously the stiffness constant near the Goldstone mode is almost unaffected. We elucidate physics behind magnon renormalization in spin-orbital systems and explain why long wavelength magnons are unrenormalized while simultaneously energies of short wavelength magnons are reduced by orbital fluctuations. In fact, the $\vec{k}$ -dependence of the magnon energy is modified mainly by dispersion which originates from spin exchange between second neighbors along the cubic axes a and b .https://doi.org/10.1088/1367-2630/aaf0d5Mott insulatormagnon dressingorbital degeneracyspin-orbital entanglementspin-orbital superexchange
spellingShingle Mateusz Snamina
Andrzej M Oleś
Magnon dressing by orbital excitations in ferromagnetic planes of K2CuF4 and LaMnO3
New Journal of Physics
Mott insulator
magnon dressing
orbital degeneracy
spin-orbital entanglement
spin-orbital superexchange
title Magnon dressing by orbital excitations in ferromagnetic planes of K2CuF4 and LaMnO3
title_full Magnon dressing by orbital excitations in ferromagnetic planes of K2CuF4 and LaMnO3
title_fullStr Magnon dressing by orbital excitations in ferromagnetic planes of K2CuF4 and LaMnO3
title_full_unstemmed Magnon dressing by orbital excitations in ferromagnetic planes of K2CuF4 and LaMnO3
title_short Magnon dressing by orbital excitations in ferromagnetic planes of K2CuF4 and LaMnO3
title_sort magnon dressing by orbital excitations in ferromagnetic planes of k2cuf4 and lamno3
topic Mott insulator
magnon dressing
orbital degeneracy
spin-orbital entanglement
spin-orbital superexchange
url https://doi.org/10.1088/1367-2630/aaf0d5
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AT andrzejmoles magnondressingbyorbitalexcitationsinferromagneticplanesofk2cuf4andlamno3