The implications of resonant x-ray scattering data on the physics of the insulating phase of V$_2$O$_3$
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| Format: | Preprint |
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2005
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| _version_ | 1866916685786644480 |
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| author | Joly, Y. Di Matteo, S. Natoli, C. R. |
| author_facet | Joly, Y. Di Matteo, S. Natoli, C. R. |
| contents | We have performed a quantitative analysis of recent resonant x-ray scattering experiments carried out in the antiferromagnetic phase of V$_2$O$_3$ by means of numerical ab-initio simulations. In order to treat magnetic effects, we have developed a method based on multiple scattering theory (MST) and a relativistic extension of the Schrödinger Equation, thereby working with the usual non relativistic set of quantum numbers $l,m,σ$ for angular and spin momenta. Electric dipole-dipole (E1-E1), dipole-quadrupole (E1-E2) and quadrupole-quadrupole (E2-E2) transition were considered altogether. We obtain satisfactory agreement with experiments, both in energy and azimuthal scans. All the main features of the V K edge Bragg-forbidden reflections with $h+k+l=$odd can be interpreted in terms of the antiferromagnetic ordering only, {\it ie}, they are of magnetic origin. In particular the ab-initio simulation of the energy scan around the (1,1,1)-monoclinic reflection excludes the possibility of any symmetry reduction due to a time-reversal breaking induced by orbital ordering. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_cond_mat_0506430 |
| institution | arXiv |
| publishDate | 2005 |
| record_format | arxiv |
| spellingShingle | The implications of resonant x-ray scattering data on the physics of the insulating phase of V$_2$O$_3$ Joly, Y. Di Matteo, S. Natoli, C. R. Strongly Correlated Electrons We have performed a quantitative analysis of recent resonant x-ray scattering experiments carried out in the antiferromagnetic phase of V$_2$O$_3$ by means of numerical ab-initio simulations. In order to treat magnetic effects, we have developed a method based on multiple scattering theory (MST) and a relativistic extension of the Schrödinger Equation, thereby working with the usual non relativistic set of quantum numbers $l,m,σ$ for angular and spin momenta. Electric dipole-dipole (E1-E1), dipole-quadrupole (E1-E2) and quadrupole-quadrupole (E2-E2) transition were considered altogether. We obtain satisfactory agreement with experiments, both in energy and azimuthal scans. All the main features of the V K edge Bragg-forbidden reflections with $h+k+l=$odd can be interpreted in terms of the antiferromagnetic ordering only, {\it ie}, they are of magnetic origin. In particular the ab-initio simulation of the energy scan around the (1,1,1)-monoclinic reflection excludes the possibility of any symmetry reduction due to a time-reversal breaking induced by orbital ordering. |
| title | The implications of resonant x-ray scattering data on the physics of the insulating phase of V$_2$O$_3$ |
| topic | Strongly Correlated Electrons |
| url | https://arxiv.org/abs/cond-mat/0506430 |