Spin-1 chain with spin-1/2 excitations in the bulk
Abstract
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.
Keywords
Cite
@article{arxiv.cond-mat/0611697,
title = {Spin-1 chain with spin-1/2 excitations in the bulk},
author = {Diptiman Sen and Naveen Surendran},
journal= {arXiv preprint arXiv:cond-mat/0611697},
year = {2015}
}
Comments
7 pages including 4 figures; this is the published version of the paper