Cliò Efthimia Agrapidis, Stefan-Ludwig Drechsler, Jeroen van den Brink, Satoshi Nishimoto
SciPost Phys. 6, 019 (2019) ·
published 6 February 2019
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· pdf
Frustrated one-dimensional (1D) magnets are known as ideal playgrounds for
new exotic quantum phenomena to emerge. We consider an elementary frustrated 1D
system: the spin-$\frac{1}{2}$ ferromagnetic ($J_1$) Heisenberg chain with
next-nearest-neighbor antiferromagnetic ($J_2$) interactions. On the basis of
density-matrix renormalization group calculations we show the existence of a
finite spin gap at $J_2/|J_1|>1/4$ and we find the ground state in this region
to be a valence bond solid (VBS) with spin-singlet dimerization between
third-neighbor sites. The VBS is the consequence of spontaneous symmetry
breaking through order by disorder. Quite interestingly, this VBS state has a
Affleck-Kennedy-Lieb-Tasaki-type topological order. This is the first example
of a frustrated spin chain in which quantum fluctuations induce gapped
topological order.
Commentaries
Commentaries for which this Contributor is identified as an author:
by J. Schlappa, K. Wohlfeld, K. J. Zhou, M. Mourigal, M. W. Haverkort, V. N. Strocov, L. Hozoi, C. Monney, S. Nishimoto, S. Singh, A. Revcolevschi, J.-S. Caux, L. Patthey, H. M. Rønnow, J. van den Brink, T. Schmitt, Nature 485, 82-85
Spin–orbital separation in the quasi-one-dimensional Mott insulator Sr2CuO3
by J. Schlappa, K. Wohlfeld, K. J. Zhou, M. Mourigal, M. W. Haverkort, V. N. Strocov, L. Hozoi, C. Monney, S. Nishimoto, S. Singh, A. Revcolevschi, J.-S. Caux, L. Patthey, H. M. Rønnow, J. van den Brink, T. Schmitt, Nature 485, 82-85
(published 2012-04-18) · latest activity: 2022-01-27 10:08