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# Electronically highly cubic conditions for Ru in $$\alpha -{\mathbf{RuCl}}_{3}$$

Physical Review B

American Physical Society (APS)

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### Anyons in an exactly solved model and beyond

(2005)
A spin 1/2 system on a honeycomb lattice is studied. The interactions between nearest neighbors are of XX, YY or ZZ type, depending on the direction of the link; different types of interactions may differ in strength. The model is solved exactly by a reduction to free fermions in a static $$\mathbb{Z}_{2}$$ gauge field. A phase diagram in the parameter space is obtained. One of the phases has an energy gap and carries excitations that are Abelian anyons. The other phase is gapless, but acquires a gap in the presence of magnetic field. In the latter case excitations are non-Abelian anyons whose braiding rules coincide with those of conformal blocks for the Ising model. We also consider a general theory of free fermions with a gapped spectrum, which is characterized by a spectral Chern number $$\nu$$. The Abelian and non-Abelian phases of the original model correspond to $$\nu=0$$ and $$\nu=\pm 1$$, respectively. The anyonic properties of excitation depend on $$\nu\bmod 16$$, whereas $$\nu$$ itself governs edge thermal transport. The paper also provides mathematical background on anyons as well as an elementary theory of Chern number for quasidiagonal matrices.
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### Novel Jeff = 1/2 Mott State Induced by Relativistic Spin-Orbit Coupling in Sr2IrO4

(2008)
We investigated electronic structure of 5d transition-metal oxide Sr2IrO4 using angle-resolved photoemission, optical conductivity, and x-ray absorption measurements and first-principles band calculations. The system was found to be well described by novel effective total angular momentum Jeff states, in which relativistic spin-orbit (SO) coupling is fully taken into account under a large crystal field. Despite of delocalized Ir 5d states, the Jeff-states form so narrow bands that even a small correlation energy leads to the Jeff = 1/2 Mott ground state with unique electronic and magnetic behaviors, suggesting a new class of the Jeff quantum spin driven correlated-electron phenomena.
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### Antiferromagnetic Mott insulating state in single crystals of the honeycomb lattice materialNa2IrO3

(2010)
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### Author and article information

###### Journal
PRBMDO
Physical Review B
Phys. Rev. B
American Physical Society (APS)
2469-9950
2469-9969
October 2017
October 12 2017
: 96
: 16
###### Article
10.1103/PhysRevB.96.161107
© 2017