Spin-1 chain with spin-1/2 excitations in the bulk

Details Spin-1 chain with spin-1/2 excitations in the bulk Spin-1 chain with spin-1/2 excitations in the bulk

2006-11-28

arxiv.org/abs/cond-mat/0611697v2

Phys. Rev. B 75 (2007) 104411

Physics

Condensed Matter

Strongly Correlated Electrons

7 pages including 4 figures; this is the published version of the paper

Scientific paper

We present a spin-1 chain with a Hamiltonian which has three exactly solvable ground states. Two of these are fully dimerized, analogous to the Majumdar-Ghosh (MG) states of a spin-1/2 chain, while the third is of the Affleck-Kennedy-Lieb-Tasaki (AKLT) type. We use variational and numerical methods to study the low-energy excitations which interpolate between these ground states in different ways. In particular, there is a spin-1/2 excitation which interpolates between the MG and AKLT ground states; this is the lowest excitation of the system and it has a surprisingly small gap. We discuss generalizations of our model of spin fractionalization to higher spin chains and higher dimensions.

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