Physics – Condensed Matter – Strongly Correlated Electrons
Scientific paper
2008-11-07
Annals Phys.324:1875-1896,2009
Physics
Condensed Matter
Strongly Correlated Electrons
20 pages, 15 figures; added references, corrected some typos, new sections. Published version
Scientific paper
10.1016/j.aop.2009.06.001
An isotropic anti-ferromagnetic quantum state on a square lattice is characterized by symmetry arguments only. By construction, this quantum state is the result of an underlying valence bond structure without breaking any symmetry in the lattice or spin spaces. A detailed analysis of the correlations of the quantum state is given (using a mapping to a 2D classical statistical model and methods in field theory like mapping to the non-linear sigma model or bosonization techniques) as well as the results of numerical treatments (regarding exact diagonalization and variational methods). Finally, the physical relevance of the model is motivated. A comparison of the model to known anti-ferromagnetic Mott-Hubbard insulators is given by means of the two-point equal-time correlation function obtained i) numerically from the suggested state and ii) experimentally from neutron scattering on cuprates in the anti-ferromagnetic insulator phase.
Briegel Hans J.
Hübener Robert
Montangero Simone
Moran N.
Pirvu Bogdan
No associations
LandOfFree
Valence Bond States: Link models does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Valence Bond States: Link models, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Valence Bond States: Link models will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-228247