Quantum Phase Transitions in the Kitaev-Heisenberg Model on a Single Hexagon
D. Gotfryda and A.M. Oleśa,b
aM. Smoluchowski Institute of Physics, Jagiellonian University, prof. S. Łojasiewicza 11, PL-30348 Kraków, Poland
bMax-Planck-Institut für Festkörperforschung, Heisenbergstr. 1, D-70569 Stuttgart, Germany
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We present a detailed analysis of the Kitaev-Heisenberg model on a single hexagon. The energy spectra and spin-spin correlations obtained using exact diagonalisation indicate quantum phase transitions between antiferromagnetic and anisotropic spin correlations when the Kitaev interactions increase. In cluster mean-field approach frustrated nearest neighbor exchange stabilizes the stripe phase in between the Néel phase and frustrated one which evolves towards the Kitaev spin liquid.

DOI: 10.12693/APhysPolA.127.318
PACS numbers: 75.10.Jm, 75.25.Dk, 75.30.Et