• Corpus ID: 248665832

Fully packed quantum loop model on the triangular lattice: Hidden vison plaquette phase and cubic phase transitions

@inproceedings{Yan2022FullyPQ,
  title={Fully packed quantum loop model on the triangular lattice: Hidden vison plaquette phase and cubic phase transitions},
  author={Zheng Yan and Xiaoxue Ran and Yan-Cheng Wang and Rhine Samajdar and Junchen Rong and Subir Sachdev and Yang Qi and Zi Yang Meng},
  year={2022}
}

• Zheng Yan, Xiaoxue Ran, +5 authors Z. Meng
• Published 9 May 2022
• Physics, Education

Quantum loop and dimer models are prototypical correlated systems with local constraints, whose generic solutions for different lattice geometries and parameter regimes are still missing due to the lack of controlled methods to solve such systems in the thermodynamic limit. Here, we obtain, via the newly developed sweeping cluster quantum Monte Carlo algorithm, the phase diagram of the triangular-lattice fully packed quantum loop model (quantum dimer model with two dimers per site). We find that as the interaction turns from attractive to repulsive, the system has a first-order transition from a lattice nematic (LN) solid to a novel vison plaquette (VP) solid without dimer density modulations but with off-diagonal order. Further increasing the dimer repulsion towards the Rokhsar-Kivelson point, the VP phase experiences a continuous transition to an even Z 2 quantum spin liquid (QSL) phase. Our results reveal the LN-to-VP first-order transition is triggered by the intricate change from face- to corner-cubic anisotropy of the O( 3 ) vison order parameter, and the VP-to-QSL continuous transition is of the cubic universality class, which is very close to the (2+1) D O( 3 ) one, in full consistency with the recent conformal bootstrap findings on the cubic fixed point.