Abstract
A phase diagram for all the possible collinear spin arrangements for ${\mathrm{V}}_{2}$${\mathrm{O}}_{3}$ is derived within the atomic limit. Due to the fact that the ${a}_{1g}$ electrons of the V atoms form a diamagnetic bond for the vertical pairs of V atoms, the magnetic structure of ${\mathrm{V}}_{2}$${\mathrm{O}}_{3}$ can be considered to be essentially determined by the remaining one electron per V atom in a twofold degenerate ${e}_{g}$ level. Depending on only two parameters: $\frac{{t}_{\mathrm{ij}}^{11}}{{t}_{\mathrm{ij}}^{22}}$, the ratio of the hopping integrals within the two orbital states 1 and 2 and between a certain pair ($i, j$) of V atoms in the basal plane, and $\frac{J}{U}$, the ratio of the exchange constant to Hubbard's $U$, the regions of stability for a particular magnetic and orbital order are determined. The experimentally observed magnetic order falls into a region of values of these parameters which are expected for ${\mathrm{V}}_{2}$${\mathrm{O}}_{3}$.
Keywords
PhysicsOrder (exchange)Atom (system on chip)Spin (aerodynamics)CrystallographyDegenerate energy levelsDiamagnetismAtomic physicsQuantum mechanicsChemistryMagnetic field
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Publication Info
- Year
- 1978
- Type
- article
- Volume
- 18
- Issue
- 9
- Pages
- 4945-4966
- Citations
- 344
- Access
- Closed
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Cite This
C. Castellani,
C. R. Natoli,
J. Ranninger
(1978).
Magnetic structure of<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msub><mml:mrow><mml:mi mathvariant="normal">V</mml:mi></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msub></mml:mrow></mml:math><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msub><mml:mrow><mml:mi mathvariant="normal">O</mml:mi></mml:mrow><mml:mrow><mml:mn>3</mml:mn></mml:mrow></mml:msub></mml:mrow></mml:math>in the insulating phase.
Physical review. B, Condensed matter
, 18
(9)
, 4945-4966.
https://doi.org/10.1103/physrevb.18.4945
Identifiers
- DOI
- 10.1103/physrevb.18.4945