Valence-bond states: Link models

Autor(en)

Enrique Rico, Robert Hübener, Simone Montangero, Niall Moran, Bogdan Corneliu Pirvu, Jiri Vala, Hans-Jürgen Briegel

Abstrakt

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.

Organisation(en)

Quantenoptik, Quantennanophysik und Quanteninformation

Externe Organisation(en)

Leopold-Franzens-Universität Innsbruck, Universität Ulm, National University of Ireland, Maynooth

Journal

Annals of Physics

Band

324

Seiten

1875-1896

Anzahl der Seiten

22

ISSN

0003-4916

DOI

https://doi.org/10.1016/j.aop.2009.06.001

Publikationsdatum

2009

Peer-reviewed

Ja

ÖFOS 2012

103026 Quantenoptik

Link zum Portal

https://ucrisportal.univie.ac.at/de/publications/30d96696-c905-4b62-9760-85de91dab971