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DMRG Numerical Study of the Kagom\'{e} Antiferromagnet · Around

2008

DMRG Numerical Study of the Kagom\'{e} Antiferromagnet

Jiang, H. C., Weng, Z. Y., Sheng, D. N.

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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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P. W. Anderson, Mater. Res. Bull, 8
1973
Earlier work this paper cites.
D. A. Huse and V. Elser, Phys. Rev. Lett. 60
1988
Earlier work this paper cites.
J. B. Marston and C. Zeng, J. Appl. Phys. 69
1991
Earlier work this paper cites.
B. Bernu, et al. , Phys. Rev. Lett. 69
1992
Earlier work this paper cites.
P. W. Leung, and Veit Elser, Phys. Rev. B 47
1993
Earlier work this paper cites.
Steven R.White, Phys. Rev. Lett. 69
1996
Earlier work this paper cites.
P. Lecheminant e t et a l al ., Phys. Rev. B 56
1997
Earlier work this paper cites.

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For example, for N = 3 × 6 × 6 N=3\times 6\times 6 , the energy ϵ 0 = − 0.43111 \epsilon_{0}=-0.43111 at m = 4096 m=4096 is shown in Table I. We have also calculated ϵ 0 \epsilon_{0} as a function of m m (up to OPEN m = 4096 ) m=4096) , which give rise to an extrapolation of the energy ϵ 0 = − 0.43308 \epsilon_{0}=-0.43308 at m → ∞ m\rightarrow\infty

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T. Li, unpublished

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