Ground state with nonzero spontaneous magnetization of the two-dimensional spin-1/2 Heisenberg antiferromagnet with frustration
arXiv:1808.04997 · doi:10.1063/1.5042780
Abstract
The S = 1/2 Heisenberg antiferromagnet on the two-dimensional pyramid lattice is studied by the numerical-diagonalization method. This lattice is obtained by the combination of the Lieb lattice and the square lattice. It is known that when interaction on the square lattice is increased from the ferrimagnetic limit of strong interaction on the Lieb lattice, this system shows gradual decrease and disappearance of spontaneous magnetization in the ground state. The present study treats the region near the case of the square-lattice antiferromagnet accompanied by isolated spins by numerical-diagonalization calculations of finite-size clusters with the maximum size of 39 sites. Our numerical results suggest the existence of a new phase with small but nonzero spontaneous magnetization between two zero-spontaneous-magnetization phases.
8 pages, 4 figures, Contribution to the International Conference on Magnetism 2018, to be published in AIP Advances
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- Third boundary of the Shastry-Sutherland Model by Numerical Diagonalization
- From kagome strip to kagome lattice: Realizations of frustrated S=1/2 antiferromagnets in Ti(III) fluorides
- Haldane Gaps of Large-S Heisenberg Antiferromagnetic Chains and Asymptotic Behavior
- Magnetization process of the S=1/2 Heisenberg antiferromagnet on the floret pentagonal lattice