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# A continuum of compass spin models on the honeycomb lattice

 dc.contributor.author Zhao, Erhai dc.contributor.author Zou, Haiyuan dc.contributor.author Liu, Bo dc.contributor.author Liu, W Vincent dc.date.accessioned 2018-08-02T13:35:58Z dc.date.available 2018-08-02T13:35:58Z dc.date.issued 2016-05 dc.identifier.citation Zou, Haiyuan, Bo Liu, Erhai Zhao, and W. Vincent Liu. “A Continuum of Compass Spin Models on the Honeycomb Lattice.” New Journal of Physics 18, no. 5 (2016): 053040. en_US dc.identifier.uri https://hdl.handle.net/1920/11064 dc.description.abstract Quantum spin models with spatially dependent interactions, known as compass models, play an important role in the study of frustrated quantum magnetism. One example is the Kitaev model on the honeycomb lattice with spin-liquid (SL) ground states and anyonic excitations. Another example is the geometrically frustrated quantum 120° model on the same lattice whose ground state has not been unambiguously established. To generalize the Kitaev model beyond the exactly solvable limit and connect it with other compass models, we propose a new model, dubbed 'the tripod model', which contains a continuum of compass-type models. It smoothly interpolates the Ising model, the Kitaev model, and the quantum 120° model by tuning a single parameter ${\theta }^{\prime }$, the angle between the three legs of a tripod in the spin space. Hence it not only unifies three paradigmatic spin models, but also enables the study of their quantum phase transitions. We obtain the phase diagram of the tripod model numerically by tensor networks in the thermodynamic limit. We show that the ground state of the quantum 120° model has long-range dimer order. Moreover, we find an extended spin-disordered (SL) phase between the dimer phase and an antiferromagnetic phase. The unification and solution of a continuum of frustrated spin models as outline here may be useful to exploring new domains of other quantum spin or orbital models. dc.language.iso en_US en_US dc.publisher New Journal of Physics en_US dc.rights Attribution 3.0 United States * dc.rights.uri http://creativecommons.org/licenses/by/3.0/us/ * dc.title A continuum of compass spin models on the honeycomb lattice en_US dc.type Article en_US dc.identifier.doi https://doi.org/10.1088/1367-2630/18/5/053040
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