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Spin-gap phase of a quantum spin system on a honeycomb lattice

Ken'ichi Takano
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Abstract

We study a quantum spin system on a honeycomb lattice, when it includes frustration and distortion in antiferromagnetic (AF) exchange interactions. We transform the spin system onto a nonlinear sigma model (NLSM) in a new way preserving the original spin degrees of freedom. Assisted by a renormalization- group argument, the NLSM provides a ground-state phase diagram consisting of an ordered AF phase and a disordered spin-gap phase. The spin-gap phase extends from a strong frustration regime to a strong distortion regime, showing that the disordered ground states are essentially the same in both the regimes. In the spin-half case, the spin-gap phase for the spin system on a honeycomb lattice is larger than that for the J1-J2 model on a square lattice.

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Ken'ichi Takano. 2006-09-19. Spin-gap phase of a quantum spin system on a honeycomb lattice. https://doi.org/10.1103/physrevb.74.140402

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