Classical fully-packed loop model with attractive interactions on the square lattice
arXiv:2305.06458 · doi:10.1103/PhysRevB.108.125112
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.
11 pages, 9 figures
References in corpus (22)
- Many-Body Physics with Individually-Controlled Rydberg Atoms
- Quantum phases of Rydberg atoms on a kagome lattice
- Interplay of quantum and thermal fluctuations in a frustrated magnet
- Interacting classical dimers on the square lattice
- 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
- 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
- Gauge theory picture of an ordering transition in a dimer model
- Unconventional continuous phase transition in a three dimensional dimer model
- Topological order from quantum loops and nets
- Correlations and confinement in non-planar two-dimensional dimer models
- 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
- Unifying Kitaev magnets, kagome dimer models and ruby Rydberg spin liquids
- SU(2)-invariant continuum theory for an unconventional phase transition in a three-dimensional classical dimer model
- Resonating plaquette phase of a quantum six-vertex model
- Zero-temperature Kosterlitz-Thouless transition in a two-dimensional quantum system
- Classical to quantum mapping for an unconventional phase transition in a three-dimensional classical dimer model
- Height-conserving quantum dimer models
- 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