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Page 53

S e p t e m b e r 2 4 - 2 6 , 2 0 1 8 | B u d a p e s t , H u n g a r y

OF EXCELLENCE

IN INTERNATIONAL

MEETINGS

alliedacademies.com

YEARS

Magnetic Materials 2018

Materials Science and Nanotechnology

|

Volume 2

MAGNETISM AND

MAGNETIC MATERIALS

2

nd

International Conference on

Mater Sci Nanotechnol 2018, Volume 2

CALCULATION OF ANISOTROPIC EXCHANGE COUPLING CONSTANTS IN

IRIDATES

Alexander Yaresko

Max Planck Institute for Solid State Research, Germany

B

ecause of strong spin-orbit coupling within the Iridium 5d shell magnetic interaction in Ir4

+

oxides cannot be described by

an isotropic Heisenberg-like model and anisotropic exchange interactions become important. In α-Na

2

IrO

3

and α-Li

2

IrO

3

,

in which edge sharing IrO octahedra form a honeycomb lattice, magnetic interaction was suggested to be bond-dependent

and to be described by the Kitaev model. Recently, another complex Ir oxide β-Li

2

IrO

3

has been synthesized which is expected

to be close to forming a Kitaev spin liquid. Ir ions in this compound form a “hyper-honeycomb” lattice, a three-dimensional

analogue of the honeycomb lattice of α-Na

2

IrO

3

. In Sr

2

IrO

4

, Sr

3

Ir

2

O

7

and in R

2

Ir

2

O

7

compounds, where

R

is a rare-earth ion, with

the pyrochlore structure, on the other hand, the dominant anisotropic exchange is the anti-symmetric Dzyaloshinskii–Moriya

interaction. We present results of LSDA+U band structure calculations for Na

2

IrO

3

, Sr

2

IrO

4

, and some R

2

Ir

2

O

7

iridates. The strength

of the Coulomb repulsion U is adjusted by comparing the calculated optical conductivity to experimental optical spectra. Then,

magnetic interactions in these compounds are estimated by mapping the total energy calculated for various non-collinear

magnetic configurations constrained by magnetic symmetry onto an effective model which includes isotropic Heisenberg-like as

well as bond-dependent anisotropic magnetic interactions. It is shown that the variation of the total energy cannot be described

by the isotropic Heisenberg-like model and anisotropic terms may be as strong as the isotropic ones.