Quantum versus thermal fluctuations in the fcc antiferromagnet: alternative routes to order by disorder

Abstract

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 thermal order by disorder. As an example, we consider the semiclassical Heisenberg fcc antiferromagnet with only the nearest-neighbor interactions. Zero-point oscillations select the type 3 collinear antiferromagnetic state at T=0. Thermal fluctuations favor instead the type 1 antiferromagnetic structure. The opposite tendencies result in a finite-temperature transition between the two collinear states. Competition between effects of quantum and thermal order by disorder is a general phenomenon and is also realized in the J1-J2 square-lattice antiferromagnet at the critical point J2 = 0.5 J1.

arXiv comment6 pages, 3 figures (accepted PRB Rapid Comm.)

References in corpus (33)

• Low-temperature properties of classical, geometrically frustrated antiferromagnets
• Order by disorder and spiral spin liquid in frustrated diamond lattice antiferromagnets
• Quantum order by disorder and accidental soft mode Er2Ti2O7
• Field induced ordering in highly frustrated antiferromagnets
• Frustrated two dimensional quantum magnets
• Phase Diagram and Quantum Order by Disorder in the Kitaev $K_1$-$K_2$ Honeycomb Magnet
• Quantum Selection of Order in an $XXZ$ Antiferromagnet on a Kagomé Lattice
• Order from disorder: Quantum spin gap in magnon spectra of LaTiO_3
• Pseudo-Goldstone gaps and order-by-quantum-disorder in frustrated magnets
• Kitaev materials beyond iridates: order by quantum disorder and Weyl magnons in rare-earth double perovskites
• Spin-orbit entangled j=1/2 moments in Ba${}_2$CeIrO${}_6$ -- a frustrated fcc quantum magnet
• Quantum order by disorder in frustrated diamond lattice antiferromagnets
• Quantum order by disorder in the Kitaev model on a triangular lattice
• A Monte Carlo study of O(3) antiferromagnetic models in three dimensions
• Order by virtual crystal field fluctuations in pyrochlore XY antiferromagnets
• Static properties of a quasi one-dimensional antiferromagnet in magnetic field
• Cubic symmetry and magnetic frustration on the $fcc$ spin lattice in K${}_2$IrCl${}_6$
• Highly-anisotropic exchange interactions of $j_{\mathrm{eff}}=1/2$ iridium moments on the fcc lattice in La${}_{2}B$IrO${}_6$ ($B$ $=$ Mg, Zn)
• Classical spiral spin liquids as a possible route to quantum spin liquids
• Monte Carlo study of first-order transition in Heisenberg fcc antiferromagnet
• Order-by-disorder near criticality in $XY$ pyrochlore magnets
• Order-by-disorder and magnetic field response in Heisenberg-Kitaev model on a hyperhoneycomb lattice
• Frustrated antiferromagnets at high fields: the Bose-Einstein condensation in degenerate spectra
• Three dimensional generalization of the $J_1$-$J_2$ Heisenberg model on a square lattice and role of the interlayer coupling $J_c$
• Extended degeneracy and order by disorder in the square lattice J${}_1$-J${}_2$-J${}_3$ model
• Strong short-range magnetic order in a frustrated FCC lattice and its possible role in the iron structural transformation
• MnO Spin-Wave Dispersion Curves from Powder Diffraction Data
• Spin wave theory study of neutron intensity, magnetic field, and anisotropy of Type IIA FCC antiferromagnet
• Spin waves in the AF state of the $t$-$t^{\prime }$ Hubbard model on the fcc lattice: competing interactions, frustration, and instabilities
• Magnetic excitations in frustrated fcc type-III antiferromagnet MnS${}_2$
• "Switching" of Magnetic Anisotropy in a fcc Antiferromagnet with Direction-Dependent Interactions
• Order-by-disorder effects in antiferromagnets on face-centered cubic lattice
• Order by disorder in a four flavor Mott-insulator on the fcc lattice

Cited by in corpus (16)

• Classical and quantum phases of the pyrochlore $S=1/2$ magnet with Heisenberg and Dzyaloshinskii-Moriya interactions
• Toward cubic symmetry for Ir${}^{4+}$: structure and magnetism of antifluorite K${}_2$IrBr${}_6$
• Ground state selection by magnon interactions in the fcc antiferromagnet
• Antiferromagnetic resonance in the cubic iridium hexahalides (NH${}_4$)${}_2$IrCl${}_6$ and K${}_2$IrCl${}_6$
• Anisotropic exchange and non-collinear antiferromagnets on a noncentrosymmetric fcc structure as in the half-Heuslers
• Order-by-disorder without quantum zero-point fluctuations in the pyrochlore Heisenberg ferromagnet with Dzyaloshinskii-Moriya interactions
• Finite-temperature phase transitions in $S=1/2$ three-dimensional Heisenberg magnets from high-temperature series expansions
• On the multi-$\mathbf{q}$ characteristics of magnetic ground states of honeycomb cobalt oxides
• Ground state properties of the Heisenberg-compass model on the square lattice
• Pulling order back from the brink of disorder: Observation of a nodal line spin liquid and fluctuation stabilized order in K${}_2$IrCl${}_6$
• Partially disordered Heisenberg antiferromagnet with short-range stripe correlations
• Quantum selection of order and dynamic properties of Kitaev-Heisenberg ferromagnet on a triangular lattice
• Topological Magnetic Phases and Magnon-Phonon Hybridization in the Presence of Strong Dzyaloshinskii-Moriya Interaction
• Microscopic Origin of Reduced Magnetic Order in a Frustrated Metal
• Programmable order by disorder effect and underlying phases through dipolar quantum simulators
• Finite-Size Spectral Signatures of Order by Quantum Disorder: A Perspective from Anderson's Tower of States