2001
DOI: 10.1103/physrevb.63.224304
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First-principles investigation of the cooperative Jahn-Teller effect for octahedrally coordinated transition-metal ions

Abstract: Fundamental aspects of the cooperative Jahn-Teller effect are investigated using density functional theory in the generalized gradient approximation. LiNiO 2 , LiMnO 2 , and LiCuO 2 are chosen as candidate materials as they possess small, intermediate, and large cooperative Jahn-Teller distortions, respectively. The cooperative distortion is decomposed into the symmetrized-strain modes and kϭ0 optical phonons, revealing that only the E g and A 1g strain modes and E g and A 1g kϭ0 optical-phonon modes participa… Show more

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Cited by 106 publications
(96 citation statements)
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“…However, the relaxations do allow for local distortions associated with the Jahn-Teller effect to occur when defects are introduced, e.g., by a vacancy. The JahnTeller distortions are typically less than 0.3 eV/Jahn-Teller ion (14). Specifically, our calculation results suggest the fully relaxed 2x2x2 LaMnO 3 and LaCoO 3 perovskites are about 0.05 eV/Jahn-Teller ion more stable than the constrained 2x2x2 cubic supercells.…”
Section: Magnetism and Jahn-teller Distortionsmentioning
confidence: 63%
“…However, the relaxations do allow for local distortions associated with the Jahn-Teller effect to occur when defects are introduced, e.g., by a vacancy. The JahnTeller distortions are typically less than 0.3 eV/Jahn-Teller ion (14). Specifically, our calculation results suggest the fully relaxed 2x2x2 LaMnO 3 and LaCoO 3 perovskites are about 0.05 eV/Jahn-Teller ion more stable than the constrained 2x2x2 cubic supercells.…”
Section: Magnetism and Jahn-teller Distortionsmentioning
confidence: 63%
“…With GGA a distorted unit cell is found with the short and the long Ni-O bond length being 1.92Å and 2.13Å, respectively, compared to experimental values of 1.91Å and 2.14Å 39 , and a stabilization energy relative to an undistorted cell of only -2meV, within the range of numerical errors, compared to -11 meV in Ref. 39 . With GGA+U no appreciable distortion is observed.…”
Section: Totalmentioning
confidence: 72%
“…On the other hand, Mn and Ni-based spinels show the largest volume changes as their reduction occurs by filling one or more eg orbitals. For both Mn 3+ and Ni 3+ this volume increase is compounded by the fact that these ions are Jahn-Teller active which, in its anharmonic form, leads to additional volume increase 62 . The combined small size and high charge of Al 3+ lead to almost zero volume change for several spinels.…”
Section: Resultsmentioning
confidence: 99%