17 citations · 60 across the 7 of their papers we have counts for
6 papers · 1 filter
Symmetrizing the Constraints -- Density Matrix Renormalization Group for Constrained Lattice Models
Ting-Tung Wang, Xiaoxue Ran, Zi Yang Meng
We develop a density matrix renormalization group (DMRG) algorithm for constrained quantum lattice models that successfully {\it{implements the local constraints as symmetries in t…
Phase transitions and remnants of fractionalization at finite temperature in the triangular lattice quantum loop model
Xiaoxue Ran, Sylvain Capponi, Junchen Rong +2
The quantum loop and dimer models are archetypal correlated systems with local constraints. With natural foundations in statistical mechanics, they are of direct relevance to vario…
Classical fully-packed loop model with attractive interactions on the square lattice
Bhupen Dabholkar, Xiaoxue Ran, Junchen Rong +4
We study a classical model of fully-packed loops on the square lattice, which interact through attractive loop segment interactions between opposite sides of plaquettes. This study…
Fully packed quantum loop model on the square lattice: phase diagram and application for Rydberg atoms
Xiaoxue Ran, Zheng Yan, Yan-Cheng Wang +3
The quantum dimer and loop models attract great attentions, partially because the fundamental importance in the phases and phase transitions emerging in these prototypical constrai…
Hidden orders and phase transitions for the fully packed quantum loop model on the triangular lattice
Xiaoxue Ran, Zheng Yan, Yan-Cheng Wang +5
Quantum loop and dimer models are prototypical correlated systems with local constraints, which are not only intimately connected to lattice gauge theories and topological orders b…
Criticality and scaling corrections for two-dimensional Heisenberg models in plaquette patterns with strong and weak couplings
Xiaoxue Ran, Nvsen Ma, Dao-Xin Yao
We use the stochastic series expansion quantum Monte Carlo method to study the Heisenberg models on the square lattice with strong and weak couplings in the form of three different…