Physics – Condensed Matter – Strongly Correlated Electrons
Scientific paper
2006-09-19
Physics
Condensed Matter
Strongly Correlated Electrons
4 pages with 2 figures; accepted in Phys. Rev. B
Scientific paper
10.1103/PhysRevB.74.140402
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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