Cubic* criticality emerging from a quantum loop model on triangular lattice

Abstract

Quantum loop and dimer models are archetypal examples of correlated systems with local constraints. Obtaining generic solutions for these models is difficult due to the lack of controlled methods to solve them in the thermodynamic limit. Nevertheless, these solutions are of immediate relevance to both statistical and quantum field theories, as well as the rapidly growing experiments in Rydberg atom arrays and quantum moiré materials, where the interplay between correlation and local constraints gives rise to a plethora of novel phenomena. In a recent work [X. Ran, Z. Yan, Y.-C. Wang, et al, arXiv:2205.04472 (2022)], it was found through sweeping cluster quantum Monte Carlo (QMC) simulations and field theory analysis that the triangular lattice quantum loop model (QLM) hosts a rich ground state phase diagram with lattice nematic, vison plaquette (VP) crystals, and the ${\mathbb{Z}}_2$ quantum spin liquid (QSL) close to the Rokhsar-Kivelson point. Here, we focus on the continuous quantum critical point separating the VP and QSL phases and demonstrate via both static and dynamic probes in QMC simulations that this transition is of the (2+1)D cubic* universality. In this transition, the fractionalized visons in QSL condense to give rise to the crystalline VP phase, while leaving their trace in the anomalously large anomalous dimension exponent and pronounced continua in the dimer and vison spectra compared with those at the conventional cubic or O(3) quantum critical points.

7+4 pages, 4+3 figures

References in corpus (35)

• Probing Topological Spin Liquids on a Programmable Quantum Simulator
• Programmable quantum simulation of 2D antiferromagnets with hundreds of Rydberg atoms
• Continuous excitations of the triangular-lattice quantum spin liquid YbMgGaO4
• Experimental identification of quantum spin liquids
• Prediction of Toric Code Topological Order from Rydberg Blockade
• Quantum phases of Rydberg atoms on a kagome lattice
• Dynamical Signatures of Edge-State Magnetism on Graphene Nanoribbons
• Bootstrapping Heisenberg Magnets and their Cubic Instability
• Nearly deconfined spinon excitations in the square-lattice spin-1/2 Heisenberg antiferromagnet
• Interacting classical dimers on the square lattice
• Progress on stochastic analytic continuation of quantum Monte Carlo data
• Using the average spectrum method to extract dynamics from quantum Monte Carlo simulations
• Evidence of the Berezinskii-Kosterlitz-Thouless Phase in a Frustrated Magnet
• Six-loop $\epsilon$ expansion study of three-dimensional $n$-vector model with cubic anisotropy
• Symmetry Reduction in the Quantum Kagome Antiferromagnet Herbertsmithite
• Triangular lattice quantum dimer model with variable dimer density
• Emergent ${\mathbb{Z}}_2$ gauge theories and topological excitations in Rydberg atom arrays
• Measuring Arbitrary Physical Properties in Analog Quantum Simulation
• Emergent glassy behavior in a kagome Rydberg atom array
• Quantum Dimer Model on the triangular lattice: Semiclassical and variational approaches to vison dispersion and condensation
• Topological phase transition and single/multi anyon dynamics of $Z_2$ spin liquid
• Spectral evidence for Dirac spinons in a kagome lattice antiferromagnet
• Global scheme of sweeping cluster algorithm to sample among topological sectors
• Amplitude Mode in Quantum Magnets via Dimensional Crossover
• Emergent many-body composite excitations of interacting spin-1/2 trimers
• Phase Diagram of Triangular Lattice Quantum Ising Model under External Field
• Quantum dynamics of topological strings in a frustrated Ising antiferromagnet
• Fractionalized conductivity and emergent self-duality near topological phase transitions
• Vestigial anyon condensation in kagome quantum spin liquids
• Cubic fixed point in three dimensions: Monte Carlo simulations of the ${\varphi }^4$ model on the lattice
• Height-conserving quantum dimer models
• Different critical behaviors in cubic to trigonal and tetragonal perovskites
• Re-entrance effect in the high-temperature critical phase of the quantum dimer model on the square lattice
• ${\varphi }^4$ lattice model with cubic symmetry in three dimensions: RG-flow and first order phase transitions
• Classical fully-packed loop model with attractive interactions on the square lattice

Cited by in corpus (4)

• Models of interacting bosons with exact ground states: a unified approach
• Symmetrizing the Constraints -- Density Matrix Renormalization Group for Constrained Lattice Models
• Phase transitions and remnants of fractionalization at finite temperature in the triangular lattice quantum loop model
• Doped resonating-valence-bond states: Robustness of the spin-ice phases in three-dimensional Rydberg arrays