期刊
ANNALS OF PHYSICS
卷 322, 期 4, 页码 903-934出版社
ACADEMIC PRESS INC ELSEVIER SCIENCE
DOI: 10.1016/j.aop.2006.04.017
关键词
quantum dimer model; quantum criticality; Kosterlitz-Thouless transition; conformal field theory; Stochastic matrix form decomposition
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 interaction 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. (c) 2006 Elsevier Inc. All rights reserved.
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