@article{ISI:000284306100009,
 abstract = {We study a one-dimensional version of the Kitaev model on a ring of size
N, in which there is a spin S > 1/2 on each site and the Hamiltonian is
J Sigma(nSnSn+1y)-S-x. The cases where S is integer and half-odd integer
are qualitatively different. We show that there is a Z(2)-valued
conserved quantity W-n for each bond (n, n + 1) of the system. For
integer S, the Hilbert space can be decomposed into 2N sectors, of
unequal sizes. The number of states in most of the sectors grows as
d(N), where d depends on the sector. The largest sector contains the
ground state, and for this sector, for S=1, d=(root 5+1)/2. We carry out
exact diagonalization for small systems. The extrapolation of our
results to large N indicates that the energy gap remains finite in this
limit. In the ground-state sector, the system can be mapped to a
spin-1/2 model. We develop variational wave functions to study the
lowest energy states in the ground state and other sectors. The first
excited state of the system is the lowest energy state of a different
sector and we estimate its excitation energy. We consider a more general
Hamiltonian, adding a term lambda Sigma W-n(n), and show that this has
gapless excitations in the range lambda(c)(1)<=lambda <=lambda(c)(2). We
use the variational wave functions to study how the ground-state energy
and the defect density vary near the two critical points lambda(c)(1)
and lambda(c)(2).},
 article-number = {195435},
 author = {Sen, Diptiman and Shankar, R. and Dhar, Deepak and Ramola, Kabir},
 doi = {10.1103/PhysRevB.82.195435},
 issn = {1098-0121},
 journal = {PHYSICAL REVIEW B},
 month = {NOV 17},
 number = {19},
 orcid-numbers = {Dhar, Deepak/0000-0002-3618-6025
},
 researcherid-numbers = {Dhar, Deepak/E-5203-2011
Dhar, Deepak/N-2984-2019
Dhar, Deepak/AAI-4740-2020},
 times-cited = {2},
 title = {Spin-1 Kitaev model in one dimension},
 unique-id = {ISI:000284306100009},
 volume = {82},
 year = {2010}
}