Dilution Effects in Two-dimensional Quantum Orbital System

Abstract

We study dilution effects in a Mott insulating state with quantum orbital degree of freedom, termed the two-dimensional orbital compass model. This is a quantum and two-dimensional version of the orbital model where the interactions along different bond directions cause frustration between different orbital configurations. A long-range correlation of a kind of orbital at each row or column, termed the directional order, is studied by means of the quantum Monte-Carlo method. It is shown that decrease of the ordering temperature due to dilution is much stronger than that in spin models. Quantum effect enhances the effective dimensionality in the system and makes the directional order robust against dilution. We discuss an essential mechanism of the dilute orbital systems.

5pages, 4 figures

References in corpus (11)

• Orbital liquid in three dimensional Mott insulator: $LaTi{O}_3$
• Orbital Liquid in Perovskite Transition-Metal Oxides
• Protected Qubits and Chern Simons theories in Josephson Junction Arrays
• The Quantum Compass Model on the Square Lattice
• Generalized Elitzur's Theorem and Dimensional Reduction
• Orbital ordering and frustrations
• Low-Temperature Properties of the Randomly Depleted Heisenberg Ladder
• Orbital order in classical models of transition-metal compounds
• Directional Ordering of Fluctuations in a Two-dimensional Compass Model
• Randomly Diluted e_g Orbital-Ordered Systems
• Quantum spin systems at positive temperature

Cited by in corpus (28)

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• Dilute Magnetism and Spin-Orbital Percolation Effects in Rh-doped Sr2IrO4
• Monte Carlo simulations of the directional-ordering transition in the two-dimensional classical and quantum compass model
• Absence of Hole Confinement in Transition Metal Oxides with Orbital Degeneracy
• Interacting Majorana Fermions
• Molecular spin-orbit excitations in the J_eff = 1/2 frustrated spinel GeCo${}_2$O${}_4$
• Spin-Orbital Order Modified by Orbital Dilution in Transition Metal Oxides: From Spin Defects to Frustrated Spins Polarizing Host Orbitals
• Variational tensor network renormalization in imaginary time: Two-dimensional quantum compass model at finite temperature
• Re-examining the directional-ordering transition in the compass model with screw-periodic boundary conditions
• Doubly degenerate orbital system in honeycomb lattice: implication of orbital state in layered iron oxide
• Elastic Instabilities within Antiferromagnetically Ordered Phase in the Orbitally-Frustrated Spinel GeCo${}_2$O${}_4$
• Quantum phase transition in the one-dimensional period-two and uniform compass model
• Orbital order driven quantum criticality
• Spin-Liquid--to--Spin-Liquid Transition in Kitaev Magnets Driven by Fractionalization
• Numerical study of the one-dimensional quantum compass model
• The Quantum Compass Model on the Square and Simple Cubic Lattices
• Order by disorder and phase transitions in a highly frustrated spin model on the triangular lattice
• Dilution effect in correlated electron system with orbital degeneracy
• Finite-Temperature Néel Ordering of Fluctuations in a Plaquette Orbital Model
• Mechanism of hole propagation in the orbital compass models
• Majorana stripe order on the surface of a three-dimensional topological insulator
• Locally tunable disorder and entanglement in the one-dimensional plaquette orbital model
• Thermal Canting of Spin-Bond Order
• Orbital Compass Model as an Itinerant Electron System
• Exact Ground States and Phase Diagram of the Quantum Compass Model under an in-plane Field
• One-dimensional frustrated plaquette compass model: Nematic phase and spontaneous multimerization
• Orbital liquid in the $e_g$ orbital Hubbard model in $d=\infty$ dimensions
• Subsystem symmetries, critical Bose surface, and immobile excitations in an extended compass model