Spin liquids in geometrically perfect triangular antiferromagnets

Y Li, P Gegenwart, AA Tsirlin - Journal of Physics: Condensed …, 2020 - iopscience.iop.org
The cradle of quantum spin liquids, triangular antiferromagnets show strong proclivity to
magnetic order and require deliberate tuning to stabilize a spin-liquid state. In this brief …

Triangular lattice quantum dimer model with variable dimer density

Z Yan, R Samajdar, YC Wang, S Sachdev… - Nature …, 2022 - nature.com
Quantum dimer models are known to host topological quantum spin liquid phases, and it
has recently become possible to simulate such models with Rydberg atoms trapped in …

Phase diagram of the spin- - Heisenberg model on a honeycomb lattice

SS Gong, DN Sheng, OI Motrunich, MPA Fisher - Physical Review B …, 2013 - APS
We use the density matrix renormalization group (DMRG) algorithm to study the phase
diagram of the spin-1 2 Heisenberg model on a honeycomb lattice with first (J 1) and second …

From quantum mechanics to classical statistical physics: Generalized Rokhsar–Kivelson Hamiltonians and the “Stochastic Matrix Form” decomposition

C Castelnovo, C Chamon, C Mudry, P Pujol - Annals of Physics, 2005 - Elsevier
Quantum Hamiltonians that are fine-tuned to their so-called Rokhsar–Kivelson (RK) points,
first presented in the context of quantum dimer models, are defined by their representations …

Hidden orders and phase transitions for the fully packed quantum loop model on the triangular lattice

X Ran, Z Yan, YC Wang, R Samajdar, J Rong… - Communications …, 2024 - nature.com
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 but …

Topological phase transition and single/multi anyon dynamics of Z2 spin liquid

Z Yan, YC Wang, N Ma, Y Qi, ZY Meng - npj Quantum Materials, 2021 - nature.com
Among the quantum many-body models that host anyon excitation and topological orders,
quantum dimer models (QDM) provide a suitable playground for studying the relation …

Interacting classical dimers on the square lattice

F Alet, JL Jacobsen, G Misguich, V Pasquier, F Mila… - Physical review …, 2005 - APS
We study a model of close-packed dimers on the square lattice with a nearest neighbor
interaction between parallel dimers. This model corresponds to the classical limit of quantum …

Classical dimers with aligning interactions on the square lattice

F Alet, Y Ikhlef, JL Jacobsen, G Misguich… - Physical Review E …, 2006 - APS
We present a detailed study of a model of close-packed dimers on the square lattice with an
interaction between nearest-neighbor dimers. The interaction favors parallel alignment of …

Quantum dimer models

R Moessner, KS Raman - Introduction to frustrated magnetism: materials …, 2010 - Springer
These lecture notes aim to provide a self-contained, pedagogical introduction to the physics
of local constraints, fractionalisation and topological liquids organised around the Rokhsar …

Fully packed quantum loop model on the square lattice: Phase diagram and application for Rydberg atoms

X Ran, Z Yan, YC Wang, J Rong, Y Qi, ZY Meng - Physical Review B, 2023 - APS
The quantum dimer and loop models attract great attention, partially because the
fundamental importance in the phases and phase transitions emerging in these prototypical …