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Existence of featureless paramagnets on the square and the honeycomb lattices in 2+1 dimensions.
- Source :
-
Physical Review B . Jan2016, Vol. 93 Issue 3, p035114-1-035114-11. 11p. - Publication Year :
- 2016
-
Abstract
- The peculiar features of quantum magnetism sometimes forbid the existence of gapped "featureless" paramagnets which are fully symmetric and unfractionalized. The Lieb-Schultz-Mattis theorem is an example of such a constraint, but it is not known what the most general restriction might be. We focus on the existence of featureless paramagnets on the spin-1 square lattice and the spin-1 and spin-1/2 honeycomb lattice with spin rotation and space group symmetries in 2+1 dimensions. Although featureless paramagnet phases are not ruled out by any existing theorem, field theoretic arguments disfavor their existence. Nevertheless, by generalizing the construction of Affleck, Kennedy, Lieb, and Tasaki to a class we call "slave-spin" states, we propose featureless wave functions for these models. The featurelessness of the spin-1 slave-spin states on the square and honeycomb lattice are verified both analytically and numerically, but the status of the spin-1/2 honeycomb state remains unclear. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 24699950
- Volume :
- 93
- Issue :
- 3
- Database :
- Academic Search Index
- Journal :
- Physical Review B
- Publication Type :
- Academic Journal
- Accession number :
- 112717010
- Full Text :
- https://doi.org/10.1103/PhysRevB.93.035114