Classical fully-packed loop model with attractive interactions on the square lattice

Abstract

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 is motivated by effective models of interacting quantum matter arising in frustrated magnets or Rydberg atom arrays, for which loop degrees of freedom appear at low energy. Through a combination of Monte Carlo simulations and an effective height field theory, we find that the critical point known to occur at infinite temperature gives rise to a high-temperature critical phase with floating exponents. At lower temperature, the system transitions via a Kosterlitz-Thouless phase transition to a nematic phase where lattice rotation symmetry is broken. We discuss consequences for the phase diagram of the quantum loop model on the same lattice.

arXiv comment11 pages, 9 figures

References in corpus (71)

• Spin Ice State in Frustrated Magnetic Pyrochlore Materials
• Many-Body Physics with Individually-Controlled Rydberg Atoms
• Quantum Phases of Matter on a 256-Atom Programmable Quantum Simulator
• Probing Topological Spin Liquids on a Programmable Quantum Simulator
• An RVB phase in the triangular lattice quantum dimer model
• Quantum Monte Carlo with Directed Loops
• Programmable quantum simulation of 2D antiferromagnets with hundreds of Rydberg atoms
• Ising models of quantum frustration
• SLE for theoretical physicists
• Exact exponents for the spin quantum Hall transition
• Prediction of Toric Code Topological Order from Rydberg Blockade
• Quantum phases of Rydberg atoms on a kagome lattice
• Exact spectra of conformal supersymmetric nonlinear sigma models in two dimensions
• Deconfined Quantum Criticality, Scaling Violations, and Classical Loop Models
• Interplay of quantum and thermal fluctuations in a frustrated magnet
• Quantum Spin Ice and dimer models with Rydberg atoms
• From quantum mechanics to classical statistical physics: generalized Rokhsar-Kivelson Hamiltonians and the "Stochastic Matrix Form" decomposition
• Long-distance asymptotics of spin-spin correlation functions for the XXZ spin chain
• Interacting classical dimers on the square lattice
• Emerging 2D Gauge theories in Rydberg configurable arrays
• Monte Carlo simulation of ice models
• Classical dimers with aligning interactions on the square lattice
• Critical temperature for the two-dimensional attractive Hubbard Model
• Dense loops, supersymmetry, and Goldstone phases in two dimensions
• Cyclic exchange, isolated states and spinon deconfinement in an XXZ Heisenberg model on the checkerboard lattice
• Kac-Moody Symmetries of Critical Ground States
• Operator Spectrum and Exact Exponents of the Fully Packed Loop Model
• Coulomb gas transitions in three-dimensional classical dimer models
• Quantum criticality, lines of fixed points, and phase separation in doped two-dimensional quantum dimer models
• Correlation amplitude for S=1/2 XXZ spin chain in the critical region
• 3D loop models and the CP^{n-1} sigma model
• Phonon dispersion and the competition between pairing and charge order
• Gauge theory picture of an ordering transition in a dimer model
• Directed-loop Monte Carlo simulations of vertex models
• Sweeping cluster algorithm for quantum spin systems with strong geometric restrictions
• Unconventional continuous phase transition in a three dimensional dimer model
• The (2+1)-d U(1) Quantum Link Model Masquerading as Deconfined Criticality
• Topological order from quantum loops and nets
• Pocket Monte Carlo algorithm for classical doped dimer models
• Triangular lattice quantum dimer model with variable dimer density
• Correlations and confinement in non-planar two-dimensional dimer models
• Loop models with crossings
• Emergent SO(5) symmetry at the columnar ordering transition in the classical cubic dimer model
• Planar pyrochlore, quantum ice and sliding ice
• Generalized Hardcore Dimer Models approach to low-energy Heisenberg frustrated antiferromagnets: general properties and application to the kagome antiferromagnet
• Emergent glassy behavior in a kagome Rydberg atom array
• Directed geometrical worm algorithm applied to the quantum rotor model
• Unifying Kitaev magnets, kagome dimer models and ruby Rydberg spin liquids
• Topological phase transition and single/multi anyon dynamics of $Z_2$ spin liquid
• Scaling dimensions of higher-charge monopoles at deconfined critical points
• Global scheme of sweeping cluster algorithm to sample among topological sectors
• SU(2)-invariant continuum theory for an unconventional phase transition in a three-dimensional classical dimer model
• Widely existing mixed phase structure of quantum dimer model on square lattice
• Resonating plaquette phase of a quantum six-vertex model
• Order-by-disorder and quantum Coulomb phase in quantum square ice
• Z2 topological liquid of hard-core bosons on a kagome lattice at 1/3 filling
• Classical to quantum mapping for an unconventional phase transition in a three-dimensional classical dimer model
• Zero-temperature Kosterlitz-Thouless transition in a two-dimensional quantum system
• Monte Carlo study of the pseudogap and superconductivity emerging from quantum magnetic fluctuations
• Magnetization plateaus of an easy-axis Kagomé antiferromagnet with extended interactions
• Critical behavior in the cubic dimer model at nonzero monomer density
• Height-conserving quantum dimer models
• The semiflexible fully-packed loop model and interacting rhombus tilings
• High-Temperature Criticality in Strongly Constrained Quantum Systems
• Fermi arcs and pseudogap in a lattice model of a doped orthogonal metal
• Interacting double dimer model on the square lattice
• Classical vertex model dualities in a family of 2D frustrated quantum antiferromagnets
• Fermionic quantum dimer and fully-packed loop models on the square lattice
• Re-entrance effect in the high-temperature critical phase of the quantum dimer model on the square lattice
• The role of winding numbers in quantum Monte Carlo simulations
• Finite-size Kosterlitz-Thouless transition in 2DXY Fe/W(001) ultrathin films

Cited by in corpus (2)

• Cubic* criticality emerging from a quantum loop model on triangular lattice
• Short-time critical dynamics in the classical cubic dimer model