Quantum disorder versus order-out-of-disorder in the Kugel-Khomskii model
arXiv:cond-mat/9805203 · doi:10.1088/0953-8984/10/32/001
Abstract
The Kugel-Khomskii model, the simplest model for orbital degenerate magnetic insulators, exhibits a zero temperature degeneracy in the classical limit which could cause genuine quantum disorder. Khaliullin and Oudovenko [Phys. Rev. B 56, R14 243 (1997)] suggested recently that instead a particular classical state could be stabilized by quantum fluctuations. Here we compare their approach with standard random phase approximation and show that it strongly underestimates the strength of the quantum fluctuations, shedding doubts on the survival of any classical state.
4 pages, ReVTeX, 4 figures
References in corpus (2)
Cited by in corpus (38)
- Fingerprints of spin-orbital physics in cubic Mott insulators: Magnetic exchange interactions and optical spectral weights
- Orbital ordering and frustrations
- Fingerprints of spin-orbital entanglement in transition metal oxides
- Microscopic origin of spin-orbital separation in Sr2CuO3
- Microscopic modelling of doped manganites
- Noncollinear Magnetic Order Stabilized by Entangled Spin-Orbital Fluctuations
- Von Neumann Entropy Spectra and Entangled Excitations in Spin-Orbital Models
- Resonant X-ray Scattering in Manganites - Study of Orbital Degree of Freedom -
- Spin-Orbital Order Modified by Orbital Dilution in Transition Metal Oxides: From Spin Defects to Frustrated Spins Polarizing Host Orbitals
- One-dimensional orbital fluctuations and the exotic magnetic properties of YVO
- Variational tensor network renormalization in imaginary time: Two-dimensional quantum compass model at finite temperature
- Spin-orbital physics for p orbitals in alkali RO_2 hyperoxides --- generalization of the Goodenough-Kanamori rules
- Magnetic properties of nanoscale compass-Heisenberg planar clusters
- Orbital effects in manganites
- Exotic spin orders driven by orbital fluctuations in the Kugel-Khomskii model
- Entangled spin-orbital phases in the bilayer Kugel-Khomskii model
- Quantum phase transitions in exactly solvable one-dimensional compass models
- Exact solution for a quantum compass ladder
- Quantum phase transitions in a generalized compass chain with three-site interactions
- Topological Order in an Entangled SU(2)XY Spin-Orbital Ring
- Symmetry properties and spectra of the two-dimensional quantum compass model
- Overcoming the Sign Problem at Finite Temperature: Quantum Tensor Network for the Orbital Model on an Infinite Square Lattice
- Magnetic and orbital ordering of RuO2 planes in RuSr2(Eu,Gd)Cu2O8
- Magnetic excitations in one-dimensional spin-orbital models
- Spin-orbital order in undoped manganite LaMnO3 at finite temperature
- Charge and orbital order in transition metal oxides
- Quantum entanglement in the one-dimensional spin-orbital SU(2) model
- Spin--orbital physics in transition metal oxides
- Orbital order out of spin disorder: How to measure the orbital gap
- Green's function variational approach to orbital polarons in KCuF3
- Mechanism of hole propagation in the orbital compass models
- Spin-Orbital Entanglement Emerging from Frustration in the Kugel-Khomskii Model
- Orbiton-magnon interplay in the spin-orbital polarons of KCuF3 and LaMnO3
- Magnon dressing by orbital excitations in ferromagnetic planes of KCuF and LaMnO
- Striped critical spin liquid in a spin-orbital entangled RVB state in a projected entangled-pair state representation
- Exotic Spin Order due to Orbital Fluctuations
- One-dimensional frustrated plaquette compass model: Nematic phase and spontaneous multimerization
- Orbital liquid in the orbital Hubbard model in dimensions