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• W2028951805 abstract "The antiferromagnetic Heisenberg spin chain of odd spin $S$ is in the Haldane phase with several defining physical properties, such as thermodynamical ground-state degeneracy, symmetry-protected edge states, and nonzero string order parameter. If nonzero hole concentration $delta$ and hole hopping energy $t$ are considered, the spin chain is replaced by a spin-$S$ $t$-$J$ chain. The motivation of this paper is to generalize the discussions of the Haldane phase to the doped spin chain. The emph{first result} of this paper is that, for the model considered here, the $mathbb{Z}_2$ sign structure in the usual Ising basis can be totally removed by two consecutive unitary transformations consisting of a spatially local one and a nonlocal one. Direct from the sign structure, the emph{second result} of this paper is that the Marshall theorem and the Lieb-Mattis theorem for pure spin systems are generalized to the $t$-$J$ chain for arbitrary $S$ and $delta$. A corollary of the theorem provides us with the ground-state degeneracy in the thermodynamic limit. The emph{third result} of this paper is about the phase diagram. We show that the defining properties of the Haldane phase survive in the small $t/J$ limit. The large $t/J$ phase supports a gapped spin sector with similar properties (ground-state degeneracy, edge state, and string order parameter) of the Haldane chain, although the charge sector is gapless." @default.
• W2028951805 created "2016-06-24" @default.
• W2028951805 creator A5038921463 @default.
• W2028951805 creator A5051905769 @default.
• W2028951805 date "2014-07-09" @default.
• W2028951805 modified "2023-10-17" @default.
• W2028951805 title "Sign structure and ground-state properties for aspin−St−Jchain" @default.
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• W2028951805 doi "https://doi.org/10.1103/physrevb.90.045106" @default.
• W2028951805 hasPublicationYear "2014" @default.
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