Ferrimagnetism in the Spin-1/2 Heisenberg Antiferromagnet on a Distorted Triangular Lattice

Abstract

The ground state of the spin-$1/2$ Heisenberg antiferromagnet on a distorted triangular lattice is studied using a numerical-diagonalization method. The network of interactions is the $\sqrt{3}\times \sqrt{3}$ type; the interactions are continuously controlled between the undistorted triangular lattice and the dice lattice. We find new states between the nonmagnetic 120-degree-structured state of the undistorted triangular case and the up-up-down state of the dice case. The intermediate states show spontaneous magnetizations that are smaller than one third of the saturated magntization corresponding to the up-up-down state.

5pages, 5figures, to be published in J. Phys. Soc. Jpn

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Cited by in corpus (13)

• Flat Bands and Ferrimagnetic Order in Electronically Correlated Dice-Lattice Ribbons
• Metamagnetic jump in the spin-1/2 antiferromagnetic Heisenberg model on the square-kagome lattice
• 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
• Correlated partial disorder in a weakly frustrated quantum antiferromagnet
• Symmetric spin liquids on the stuffed honeycomb lattice
• Haldane Gaps of Large-S Heisenberg Antiferromagnetic Chains and Asymptotic Behavior
• Precise estimation of the S = 2 Haldane gap by numerical diagonalization
• Magnetization process of the S=1/2 Heisenberg antiferromagnet on the floret pentagonal lattice
• Classical phase diagram of the stuffed honeycomb lattice
• Field-induced spin liquid in the decorated square-kagome antiferromagnet nabokoite KCu${}_7$TeO${}_4$(SO${}_4$)${}_5$Cl
• Ground state with nonzero spontaneous magnetization of the two-dimensional spin-1/2 Heisenberg antiferromagnet with frustration
• Gapless Spin Excitations in the $S=1/2$ Kagome- and Triangular-Lattice Heisenberg Antiferromagnets