Abstract
The quantum dimer model, relevant for short-range resonant valence bond physics, is rigorously shown to have long range order in a crystalline phase in the attractive case at low temperature and not too large flipping term. This term flips horizontal dimer pairs to vertical pairs (and vice versa) and is responsible for the word 'quantum' in the title. In addition to the dimers, monomers are also allowed. The mathematical method used is 'reflection positivity'. The model and proof can easily be generalized to dimers or plaquettes in three-dimensions.
Original language | English (US) |
---|---|
Article number | 235203 |
Journal | Journal of Physics A: Mathematical and Theoretical |
Volume | 48 |
Issue number | 23 |
DOIs | |
State | Published - Jun 10 2015 |
All Science Journal Classification (ASJC) codes
- Statistical and Nonlinear Physics
- Statistics and Probability
- Modeling and Simulation
- Mathematical Physics
- Physics and Astronomy(all)
Keywords
- crystalline long range order
- quantum dimmers
- reflection positivity