Zero-temperature Kosterlitz-Thouless transition in a two-dimensional quantum system
arXiv:cond-mat/0602237 · doi:10.1016/j.aop.2006.04.017
Abstract
We construct a local interacting quantum dimer model on the square lattice, whose zero-temperature phase diagram is characterized by a line of critical points separating two ordered phases of the valence bond crystal type. On one side, the line of critical points terminates in a quantum transition inherited from a Kosterlitz-Thouless transition in an associated classical model. We also discuss the effect of a longer-range dimer interactions that can be used to suppress the line of critical points by gradually shrinking it to a single point. Finally, we propose a way to generalize the quantum Hamiltonian to a dilute dimer model in presence of monomers and we qualitatively discuss the phase diagram.
(30 pages, 11 figures), v2 with minor corrections
References in corpus (37)
- Quantum criticality beyond the Landau-Ginzburg-Wilson paradigm
- An RVB phase in the triangular lattice quantum dimer model
- Lieb-Schultz-Mattis in Higher Dimensions
- Pyrochlore Photons: The U(1) Spin Liquid in a S=1/2 Three-Dimensional Frustrated Magnet
- Topological Order and Conformal Quantum Critical Points
- Short-ranged RVB physics, quantum dimer models and Ising gauge theories
- Quantum dimer model on the kagome lattice: solvable dimer liquid and Ising gauge theory
- Coulomb and Liquid Dimer Models in Three Dimensions
- Three dimensional resonating valence bond liquids and their excitations
- Putting competing orders in their place near the Mott transition
- Relaxation time for a dimer covering with height representation
- The phase diagram of the hexagonal lattice quantum dimer model
- Classical dimers on the triangular lattice
- From quantum mechanics to classical statistical physics: generalized Rokhsar-Kivelson Hamiltonians and the "Stochastic Matrix Form" decomposition
- Interacting classical dimers on the square lattice
- Kac-Moody Symmetries of Critical Ground States
- Zero-Temperature Properties of the Quantum Dimer Model on the Triangular Lattice
- Field theory of compact polymers on the square lattice
- SU(2)-invariant spin-1/2 Hamiltonians with RVB and other valence bond phases
- Quantum effects in a half-polarized pyrochlore antiferromagnet
- Quantum dimer model with extensive ground-state entropy on the kagome lattice
- An extended Hubbard model with ring exchange: a route to a non-Abelian topological phase
- Pocket Monte Carlo algorithm for classical doped dimer models
- Theory of d-density wave viewed from a vertex model and its implications
- On Ising and dimer models in two and three dimensions
- Finite temperature properties of quantum Lifshitz transitions between valence bond solid phases: An example of `local' quantum criticality
- A Line of Critical Points in 2+1 Dimensions: Quantum Critical Loop Gases and Non-Abelian Gauge Theory
- Ground-state properties of the Rokhsar-Kivelson dimer model on the triangular lattice
- Exact ground states of a frustrated 2D magnet: deconfined fractional excitations at a first order quantum phase transition
- Vison gap in the Rokhsar-Kivelson dimer model on the triangular lattice
- Continuous-time Diffusion Monte Carlo and the Quantum Dimer Model
- Dynamical obstruction in a constrained system and its realization in lattices of superconducting devices
- Folding transitions of the triangular lattice with defects
- High-Temperature Criticality in Strongly Constrained Quantum Systems
- Random walks near Rokhsar-Kivelson points
- Quantum dimer model with Z_2 liquid ground-state: interpolation between cylinder and disk topologies and toy model for a topological quantum-bit
- No sliding in time
Cited by in corpus (25)
- Shannon and entanglement entropies of one- and two-dimensional critical wave functions
- Quantum mechanical and information theoretic view on classical glass transitions
- Quantum criticality, lines of fixed points, and phase separation in doped two-dimensional quantum dimer models
- Broken symmetry and the variation of critical properties in the phase behaviour of supramolecular rhombus tilings
- Phase diagram of an extended classical dimer model
- Emergent Glassy Dynamics in a Quantum Dimer Model
- Scaling of Entanglement Entropy at 2D quantum Lifshitz fixed points and topological fluids
- Magic in generalized Rokhsar-Kivelson wavefunctions
- Random and ordered phases of off-lattice rhombus tiles
- Slow dynamics and large deviations in classical stochastic Fredkin chains
- Dynamical stability of the quantum Lifshitz theory in 2+1 Dimensions
- Renormalization, duality, and phase transitions in two- and three-dimensional quantum dimer models
- Phase separation and flux quantization in the doped quantum dimer model on the square and triangular lattices
- Bilayer Coulomb phase of two dimensional dimer models: Absence of power-law columnar order
- Interacting double dimer model on the square lattice
- Criticality of a classical dimer model on the triangular lattice
- Classical dimer model with anisotropic interactions on the square lattice
- Single hole and vortex excitations in the doped Rokhsar-Kivelson quantum dimer model on the triangular lattice
- Height fluctuations in non-integrable classical dimers
- Non-thermal eigenstates and slow relaxation in quantum Fredkin spin chains
- Ising nematic fluid phase of hard-core dimers on the square lattice
- Color-dependent interactions in the three coloring model
- Topological Phase Transition in a Quasi Two Dimensional Coulomb Gas
- Classical fully-packed loop model with attractive interactions on the square lattice
- Berezinskii-Kosterlitz-Thouless Renormalization Group Flow at a Quantum Phase Transition