DMRG Numerical Study of the Kagomé Antiferromagnet

Details DMRG Numerical Study of the Kagomé Antiferromagnet DMRG Numerical Study of the Kagomé Antiferromagnet

2008-04-10

arxiv.org/abs/0804.1616v1

Phys. Rev. Lett. 101, 117203 (2008)

Physics

Condensed Matter

Strongly Correlated Electrons

5 pages, 5 figures and 1 table

Scientific paper

We numerically study the spin-1/2 antiferromagnetic Heisenberg model on the kagom\'{e} lattice using the density-matrix renormalization group (DMRG) method. We find that the ground state is a magnetically disordered spin liquid, characterized by an exponential decay of spin-spin correlation function in real space and a magnetic structure factor showing system-size independent peaks at commersurate antiferromangetic wavevectors. We obtain a spin triplet excitation gap $\Delta E(S=1)=0.055\pm 0.005$ by extrapolation based on the large size results, and confirm the presence of gapless singlet excitations. The physical nature of such an exotic spin liquid is also discussed.

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