Quantum order by disorder and accidental soft mode in Er2Ti2O7.
@article{Zhitomirsky2012QuantumOB, title={Quantum order by disorder and accidental soft mode in Er2Ti2O7.}, author={M. E. Zhitomirsky and Mariya V Gvozdikova and Peter C W Holdsworth and Roderich Moessner}, journal={Physical review letters}, year={2012}, volume={109 7}, pages={ 077204 } }
Motivated by recent neutron scattering experiments, we derive and study an effective "pseudodipolar" spin-1/2 model for the XY pyrochlore antiferromagnet Er(2)Ti(2)O(7). While a bond-dependent in-plane exchange anisotropy removes any continuous symmetry, it does lead to a one-parameter 'accidental' classical degeneracy. This degeneracy is lifted by quantum fluctuations in favor of the noncoplanar spin structure observed experimentally-a rare experimental instance of quantum order by disorder. A…
64 Citations
Quantum versus thermal fluctuations in the fcc antiferromagnet: Alternative routes to order by disorder
- Physics
- 2020
In frustrated magnetic systems with competing interactions fluctuations can lift the residual accidental degeneracy. We argue that the state selection may have different outcomes for quantum and…
Cluster-Glass Phase in Pyrochlore XY Antiferromagnets with Quenched Disorder.
- PhysicsPhysical review letters
- 2018
Any long-range-ordered magnetic state is destroyed beyond a critical level of randomness where the system breaks into magnetic domains due to random exchange anisotropies, becoming, therefore, a glass of spin clusters, in accordance with the available experimental data.
Kitaev materials beyond iridates: Order by quantum disorder and Weyl magnons in rare-earth double perovskites
- Physics
- 2017
Motivated by the experiments on the rare-earth double perovskites, we propose a generalized Kitaev-Heisenberg model to describe the generic interaction between the spin-orbit-entangled Kramers'…
Pseudo-Goldstone Gaps and Order-by-Quantum Disorder in Frustrated Magnets.
- PhysicsPhysical review letters
- 2018
It is shown that this gap can be exactly computed at leading order in 1/S inspin-wave theory from the mean curvature of the classical and quantum zero-point energies-without the need to consider any spin-wave interactions.
Order-by-disorder from bond-dependent exchange and intensity signature of nodal quasiparticles in a honeycomb cobaltate
- PhysicsNature communications
- 2021
High-resolution inelastic neutron scattering data within the magnetically ordered phase of the stacked honeycomb magnet CoTiO3 revealing the presence of a finite energy gap is presented and it is shown that the gap implies the existence of a quantum order-by-disorder mechanism that, in this material, crucially involves virtual crystal field fluctuations.
Competing phases and topological excitations of spin-1 pyrochlore antiferromagnets
- PhysicsPhysical Review B
- 2018
Most works on pyrochlore magnets deal with the interacting spin-1/2 local moments. We here study the spin-one local moments on the pyrochlore lattice, and propose a generic interacting spin model on…
Spin dynamics in highly frustrated pyrochlore magnets
- Physics
- 2015
This paper aims at showing the complementarity between time-of-flight and triple-axis neutron scattering experiments, on the basis of two topical examples in the field of geometrical magnetic…
Study of the Exotic Ground State Physics in XXZ Quantum Spin Ice
- Physics
- 2014
Three dimensional frustrated magnets realized in the rare-earth pyrochlores (R2B2O7, R =rare-earth ion, B = transition metal ion) have attracted much interest since the discovery of spin ice in…
Magnetization process in Er2Ti2O7 at very low temperature.
- PhysicsJournal of physics. Condensed matter : an Institute of Physics journal
- 2013
The equivalence of the treatment of the exchange tensor, taken to be diagonal in a frame linked to a rare earth-rare earth bond, with the pseudo-spin Hamiltonian recently developed for Kramers doublets in a pyrochlore lattice is discussed.
References
SHOWING 1-10 OF 21 REFERENCES
"J."
- PhilosophyThe New Yale Book of Quotations
- 2021
however (for it was the literal soul of the life of the Redeemer, John xv. io), is the peculiar token of fellowship with the Redeemer. That love to God (what is meant here is not God’s love to men)…
Paul
- History
- 1928
After the Founder, Paul is the greatest name in Church History. His books, preaching, missionary labors, and theology; his influence on the fate, character, polity, and ideas, of Christianity; the…
Physica 43
- 549
- 1969
Solid State Commun
- 139, 424
- 2006
Phys
- Rev. Lett. 98, 157204
- 2007
Zh
- Eksp. Teor. Fiz. 83, 326 (1982) [Sov. Phys. JETP 56, 178
- 1982
Phys
- Rev. B 78, 094418
- 2008
Phys
- Rev. Lett. 105, 047201
- 2010
Phys
- Rev. Lett. 79, 2554
- 1997
Phys
- 75, 5523
- 1994