Zero-temperature Kosterlitz-Thouless transition in a two-dimensional quantum system
Abstract
We construct a local interacting quantum dimer model on the square lattice, whose zero-temperature phase diagram is characterized by a line of critical points separating two ordered phases of the valence bond crystal type. On one side, the line of critical points terminates in a quantum transition inherited from a Kosterlitz-Thouless transition in an associated classical model. We also discuss the effect of a longer-range dimer interactions that can be used to suppress the line of critical points by gradually shrinking it to a single point. Finally, we propose a way to generalize the quantum Hamiltonian to a dilute dimer model in presence of monomers and we qualitatively discuss the phase diagram.
Cite
@article{arxiv.cond-mat/0602237,
title = {Zero-temperature Kosterlitz-Thouless transition in a two-dimensional quantum system},
author = {Claudio Castelnovo and Claudio Chamon and Christopher Mudry and Pierre Pujol and .},
journal= {arXiv preprint arXiv:cond-mat/0602237},
year = {2007}
}
Comments
(30 pages, 11 figures), v2 with minor corrections