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2009

Exact results for the star lattice chiral spin liquid

Kells, G., Mehta, D., Slingerland, J. K. et al.

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We examine the star lattice Kitaev model whose ground state is a a chiral spin liquid.

We fermionize the model such that the fermionic vacua are toric code states on an effective Kagome lattice.
This implies that the Abelian phase of the system is inherited from the fermionic vacua and that time reversal symmetry is spontaneously broken at the level of the vacuum.
In terms of these fermions we derive the Bloch-matrix Hamiltonians for the vortex free sector and its time reversed counterpart and illuminate the relationships between the sectors.

Exact results for the star lattice chiral spin liquid · Around

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Note that in any odd size system, which can include certain instances of the original honeycomb lattice model, time reversal reversal symmetry is explicitly broken. The two fold degeneracy must also be present in these cases [ 8 ]
Cited in the paper.

Then

G. Kells, A. T. Bolukbasi, V. Lahtinen, J. K. Slingerland, J. K. Pachos, and J. Vala, Phys. Rev. Lett. 101
2008
Later among the works it cites.
I. Z. Emiris, E. P. Tsigaridas, in Algorithms - ESA 2004,
2008
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C. Nash and D. O’Connor, Phys. Rev. Lett. 102
2009
Closest in time.
G. Kells, J. K. Slingerland, and J. Vala, Phys. Rev. B 80
2009
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S.-B. Chung, H. Yao, T. L Hughes, and E.-A Kim, Phys. Rev. B 81
2010
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