%0 Journal Article %1 Affleck1987Rigorous %A Affleck, Ian %A Kennedy, Tom %A Lieb, Elliott H. %A Tasaki, Hal %D 1987 %I American Physical Society %J Physical Review Letters %K antiferromagnet, spin-chain %N 7 %P 799--802 %R 10.1103/physrevlett.59.799 %T Rigorous results on valence-bond ground states in antiferromagnets %U http://dx.doi.org/10.1103/physrevlett.59.799 %V 59 %X We present rigorous results on a phase in antiferromagnets in one dimension and more, which we call a valence-bond solid. The ground state is simply constructed out of valence bonds, is nondegenerate, and breaks no symmetries. There is an energy gap and an exponentially decaying correlation function. Physical applications are mentioned.

@article{Affleck1987Rigorous, abstract = {{We present rigorous results on a phase in antiferromagnets in one dimension and more, which we call a valence-bond solid. The ground state is simply constructed out of valence bonds, is nondegenerate, and breaks no symmetries. There is an energy gap and an exponentially decaying correlation function. Physical applications are mentioned.}}, added-at = {2019-02-26T15:22:34.000+0100}, author = {Affleck, Ian and Kennedy, Tom and Lieb, Elliott H. and Tasaki, Hal}, biburl = {https://www.bibsonomy.org/bibtex/2900c43c0e2c19e2be4db43443b547ff1/rspreeuw}, citeulike-article-id = {8181550}, citeulike-linkout-0 = {http://dx.doi.org/10.1103/physrevlett.59.799}, citeulike-linkout-1 = {http://link.aps.org/abstract/PRL/v59/i7/p799}, citeulike-linkout-2 = {http://link.aps.org/pdf/PRL/v59/i7/p799}, doi = {10.1103/physrevlett.59.799}, interhash = {9761a10ba0458c701276fb71fdd1195d}, intrahash = {900c43c0e2c19e2be4db43443b547ff1}, journal = {Physical Review Letters}, keywords = {antiferromagnet, spin-chain}, month = aug, number = 7, pages = {799--802}, posted-at = {2010-11-02 21:54:20}, priority = {2}, publisher = {American Physical Society}, timestamp = {2019-02-26T15:22:34.000+0100}, title = {{Rigorous results on valence-bond ground states in antiferromagnets}}, url = {http://dx.doi.org/10.1103/physrevlett.59.799}, volume = 59, year = 1987 }