Zero-temperature Kosterlitz-Thouless transition in a two-dimensional quantum system

Details Zero-temperature Kosterlitz-Thouless transition in a two-dimensional quantum system Zero-temperature Kosterlitz-Thouless transition in a two-dimensional quantum system

2006-02-09

arxiv.org/abs/cond-mat/0602237v2

Annals of Physics 322 (2007) 903-934

Physics

Condensed Matter

Strongly Correlated Electrons

(30 pages, 11 figures), v2 with minor corrections

Scientific paper

10.1016/j.aop.2006.04.017

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.

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