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25 April 2024
 
  » arxiv » cond-mat/0509715

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Orthorhombic crystalline field splitting on orbital and magnetic orders in KCuF$_3$
Dong-Meng Chen ; Liang-Jian Zou ;
Date 28 Sep 2005
Subject Strongly Correlated Electrons | cond-mat.str-el
AbstractMagnetic and orbital structures in KCuF$_{3}$ are revisited by the cluster self-consistent field approach developed recently. We clearly showed that due to the inherent frustration, the ground state of the system with the superexchange and Jahn-Teller phonon-mediated orbital couplings is highly degenerate without broken symmetry; the orthorhombic crystalline field splitting arising from static Jahn-Teller distortion stabilizes the orbital ordering, about 42% in the $x^{2}-y^{2}$ orbit and 58% in the $3z^{2}-r^{2}$ orbit in sublattices. The magnetic moment of Cu is considerably reduced to 0.49$mu_{B}$, and the magnetic coupling strengths are highly anisotropic, J$_{c}$/J$_{ab}$ $approx$ 26. These results are in agreement with the experiments, implying that as an orbital selector, the crystalline field plays an essential role in stabilizing the ground state of KCuF$_{3}$. The 1s-3d resonant X-ray scattering amplitudes in KCuF$_{3}$ with the {it type-a} and {it type-d} structures are also presented.
Source arXiv, cond-mat/0509715
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