Finite-Temperature Néel Ordering of Fluctuations in a Plaquette Orbital Model
arXiv:0810.2378 · doi:10.1103/PhysRevB.80.054403
Abstract
We present a pseudospin model which should be experimentally accessible using solid-state devices and, being a variation on the compass model, adds to the toolbox for the protection of qubits in the area of quantum information. Using Monte Carlo methods, we find for both classical and quantum spins in two and three dimensions Ising-type Neel ordering of energy fluctuations at finite temperatures without magnetic order. We also readdress the controversy concerning the stability of the ordered state in the presence of quenched impurities and present numerical results which are at clear variance with earlier claims in the literature.
arXiv comment4 pages, 5 figures, revised and extended version
References in corpus (27)
- Fault-tolerant quantum computation by anyons
- Anyons in an exactly solved model and beyond
- Mott Insulators in the Strong Spin-Orbit Coupling Limit: From Heisenberg to a Quantum Compass and Kitaev Models
- Critical Phenomena and Renormalization-Group Theory
- Controlling Spin Exchange Interactions of Ultracold Atoms in Optical Lattices
- A toolbox for lattice spin models with polar molecules
- Quantum Monte Carlo with Directed Loops
- Stochastic series expansion method with operator-loop update
- Quantum phase transitions
- Superconducting Nanocircuits for Topologically Protected Qubits
- Protected Qubits and Chern Simons theories in Josephson Junction Arrays
- Universal Amplitude Ratios in the Critical Two-Dimensional Ising Model on a Torus
- The Quantum Compass Model on the Square Lattice
- Generalized Elitzur's Theorem and Dimensional Reduction
- Anyonic interferometry and protected memories in atomic spin lattices
- Discrete Sliding Symmetries, Dualities, and Self-dualities of Quantum Orbital Compass Models and (p+ip) Superconducting Arrays
- First order phase transition in the anisotropic quantum orbital compass model
- Orbital order in classical models of transition-metal compounds
- Creation and Manipulation of Anyons in the Kitaev Model
- Directional Ordering of Fluctuations in a Two-dimensional Compass Model
- Monte Carlo simulations of the directional-ordering transition in the two-dimensional classical and quantum compass model
- Anyonic Braiding in Optical Lattices
- Critical Binder cumulant of two-dimensional Ising models
- Nature of the Quantum Phase Transition in Quantum Compass Model
- Topologically decoherence-protected qubits with trapped ions
- Dilution Effects in Two-dimensional Quantum Orbital System
- Thermal Canting of Spin-Bond Order
Cited by in corpus (8)
- Re-examining the directional-ordering transition in the compass model with screw-periodic boundary conditions
- The quantum compass chain in a transverse magnetic field
- Order by disorder and phase transitions in a highly frustrated spin model on the triangular lattice
- Spin, orbital and topological order in models of strongly correlated electrons
- Locally tunable disorder and entanglement in the one-dimensional plaquette orbital model
- Correlation inequalities for classical and quantum XY models
- True nature of long-range order in a plaquette orbital model
- One-dimensional frustrated plaquette compass model: Nematic phase and spontaneous multimerization