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

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.

4 pages with 2 figures; accepted in Phys. Rev. B

References in corpus (3)

• An investigation of the quantum $J_1-J_2-J_3$ model on the honeycomb lattice
• Frustrated Honeycomb Heisenberg Antiferromagnet: A Schwinger Boson Approach
• Nonlinear Sigma model method for the J1-J2 Heisenberg model: disordered ground state with plaquette symmetry

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