Interfaces, Strings, and a Soft Mode in the Square Lattice Quantum Dimer Model

Abstract

The quantum dimer model on the square lattice is equivalent to a $U(1)$ gauge theory. Quantum Monte Carlo calculations reveal that, for values of the Rokhsar-Kivelson (RK) coupling $\lambda <1$, the theory exists in a confining columnar phase. The interfaces separating distinct columnar phases display plaquette order, which, however, is not realized as a bulk phase. Static "electric" charges are confined by flux tubes that consist of multiple strands, each carrying a fractionalized flux $\frac{1}{4}$. A soft pseudo-Goldstone mode emerges around $\lambda \approx 0$, long before one reaches the RK point at $\lambda =1$.

5 pages, 12 figures

References in corpus (31)

• "Deconfined" quantum critical points
• A Rydberg Quantum Simulator
• Quantum criticality beyond the Landau-Ginzburg-Wilson paradigm
• Pyrochlore Photons: The U(1) Spin Liquid in a S=1/2 Three-Dimensional Frustrated Magnet
• Ultracold Quantum Gases and Lattice Systems: Quantum Simulation of Lattice Gauge Theories
• Atomic Quantum Simulation of Dynamical Gauge Fields coupled to Fermionic Matter: From String Breaking to Evolution after a Quench
• Short-ranged RVB physics, quantum dimer models and Ising gauge theories
• Quantum Link Models: A Discrete Approach to Gauge Theories
• Atomic Quantum Simulation of U(N) and SU(N) Non-Abelian Lattice Gauge Theories
• Mesoscopic Rydberg Gate based on Electromagnetically Induced Transparency
• Simulating Compact Quantum Electrodynamics with ultracold atoms: Probing confinement and nonperturbative effects
• Simulations of non-Abelian gauge theories with optical lattices
• QCD as a Quantum Link Model
• Atomic quantum simulator for lattice gauge theories and ring exchange models
• Optical Abelian Lattice Gauge Theories
• Quantum Criticality and Deconfinement in Phase Transitions Between Valence Bond Solids
• Interacting classical dimers on the square lattice
• From classical to quantum dynamics at Rokhsar-Kivelson points
• Classical dimers with aligning interactions on the square lattice
• Cyclic exchange, isolated states and spinon deconfinement in an XXZ Heisenberg model on the checkerboard lattice
• Emergence of U(1) symmetry in the 3D XY model with Zq anisotropy
• Properties of Resonating-Valence-Bond Spin Liquids and Critical Dimer Models
• D-Theory: Field Quantization by Dimensional Reduction of Discrete Variables
• Generic mixed columnar-plaquette phases in Rokhsar-Kivelson models
• The (2+1)-d U(1) Quantum Link Model Masquerading as Deconfined Criticality
• The plaquette phase of the square lattice quantum dimer model
• Critical Correlations for Short-Range Valence-Bond Wave Functions on the Square Lattice
• Phase diagram of an extended classical dimer model
• Spin Hamiltonians with resonating-valence-bond ground states
• Continuous-time Diffusion Monte Carlo and the Quantum Dimer Model
• Statistics of holes and nature of superfluid phases in Quantum dimer models

Cited by in corpus (35)

• Simulating Lattice Gauge Theories within Quantum Technologies
• Two-dimensional Lattice Gauge Theories with Superconducting Quantum Circuits
• Confinement in the bulk, deconfinement on the wall: infrared equivalence between compactified QCD and quantum magnets
• Global symmetries, volume independence and continuity
• Dynamical quantum phase transitions in $U(1)$ quantum link models
• Sweeping cluster algorithm for quantum spin systems with strong geometric restrictions
• Emergent Glassy Dynamics in a Quantum Dimer Model
• SO(3) "Nuclear Physics" with ultracold Gases
• Widely existing mixed phase structure of quantum dimer model on square lattice
• Phases of quantum dimers from ensembles of classical stochastic trajectories
• Phase diagram of an extended quantum dimer model on the hexagonal lattice
• Finite-Volume Energy Spectrum, Fractionalized Strings, and Low-Energy Effective Field Theory for the Quantum Dimer Model on the Square Lattice
• Magnetization plateaus of an easy-axis Kagomé antiferromagnet with extended interactions
• Dynamical quantum phase transitions in a noisy lattice gauge theory
• Fully packed quantum loop model on the square lattice: phase diagram and application for Rydberg atoms
• Sublattice scars and beyond in two-dimensional $U(1)$ quantum link lattice gauge theories
• Numerical study of magnetization plateaux in the spin-1/2 Heisenberg antiferromagnet on the checkerboard lattice
• Dynamical gauge fields with bosonic codes
• Emergent XY* transition driven by symmetry fractionalization and anyon condensation
• Solving the quantum dimer and six vertex models one electric field line at a time
• Recent progress on cluster and meron algorithms for strongly correlated systems
• Quantum dimer model containing Rokhsar-Kivelson point expressed by spin-1/2 Heisenberg antiferromagnets
• Re-entrance effect in the high-temperature critical phase of the quantum dimer model on the square lattice
• Engineering SU(2) invariant spin models to mimic quantum dimer physics on the square lattice
• Exploring Bosonic and Fermionic Link Models on $(3+1)-$d tubes
• Quantum dimer models emerging from large-spin ultracold atoms
• Emergence of a Dimer-Dimer Interaction in the Low-Energy Effective Quantum-Dimer Model of a Diamond-Like-Decorated Square-Lattice Heisenberg Antiferromagnets with Further Neighbor Couplings
• $K$ -edge and $L_3$ -edge RIXS study of columnar and staggered quantum dimer phases of the square lattice Heisenberg model
• Symmetry-deformed toric codes and the quantum dimer model
• Generalised route to effective field theories for quantum systems with local constraints
• Geometric fragmentation and anomalous thermalization in cubic dimer model
• Jordan-Wigner composite-fermion liquids in 2D quantum spin-ice
• Ground-state phase diagram of quantum link electrodynamics in $(2+1)$-d
• Group Convolutional Neural Network for the Low-Energy Spectrum in the Quantum Dimer Model
• Doped resonating-valence-bond states: Robustness of the spin-ice phases in three-dimensional Rydberg arrays