Magnetic density of states at low energy in geometrically frustrated systems

Abstract

Using muon-spin-relaxation measurements we show that the pyrochlore compound Gd2Ti2O7, in its magnetically orderered phase below ~ 1 K, displays persistent spin dynamics down to temperatures as low as 20 mK. The characteristics of the induced muon relaxation can be accounted for by a scattering process involving two magnetic excitations, with a density of states characterized by an upturn at low energy and a small gap depending linearly on the temperature. We propose that such a density of states is a generic feature of geometrically frustrated magnetic materials.

5 pages, two figures

References in corpus (14)

• Er2Ti2O7: Evidence of Order by Disorder in a Frustrated Antiferromagnet
• Muon spin rotation and relaxation in magnetic materials
• First Order Transition in the Spin Dynamics of Geometrically Frustrated Yb2Ti2O7
• Order in the Heisenberg Pyrochlore: The Magnetic Structure of Gd2Ti2O7
• Muon Spin Relaxation Investigation of the Spin Dynamics of Geometrically Frustrated Antiferromagnets Y2Mo2O7 and Tb2Mo2O7 Static Critical Behavior of the Spin-Freezing
• Multiple Field-Induced Phase Transitions in a Geometrically-Frustrated Dipolar Magnet - Gd2Ti2O7
• Dynamic properties of a diluted pyrochlore cooperative paramagnet (Tb_pY_{1-p})_2Ti_2O_7
• Magnetic dilution in the geometrically frustrated SrCr${}_{9p}$Ga${}_{12-9p}$O${}_{19}$ and the role of local dynamics: a $\mu$SR study
• Magnetic phase diagram of the antiferromagnetic pyrochlore Gd2Ti2O7
• Muon Spin Relaxation and Susceptibility Studies of Pure and Doped Spin 1/2 Kagomé-like system (Cu${}_x$Zn${}_{1-x}$)${}_3$V${}_2$O${}_7$(OH)${}_2$ 2H${}_2$O
• Transition and spin dynamics at very low temperature in the pyrochlores Yb2Ti2O7 and Gd2Sn2O7
• Effective nuclear temperature in a fluctuating spin system
• $\mu$SR study of the quantum dynamics in the frustrated $S=3/2$ kagome bilayers
• Zero field muon spin lattice relaxation rate in a Heisenberg ferromagnet at low temperature

Cited by in corpus (41)

• Magnetic Pyrochlore Oxides
• Phonon and crystal field excitations in geometrically frustrated rare earth titanates
• Spin dynamics and magnetic order in magnetically frustrated Tb2Sn2O7
• Magnetic Frustration in Lead Pyrochlores
• Direct evidence for a dynamical ground state in the highly frustrated Tb${}_2$Sn${}_2$O${}_7$ pyrochlore
• Magnetic order, magnetic correlations and spin dynamics in the pyrochlore antiferromagnet Er2Ti2O7
• Single crystal growth of the pyrochlores $R_2$Ti${}_2$O${}_7$ ($R$ = rare earth) by the optical floating-zone method
• Synthesis, floating zone crystal growth and characterization of the Quantum Spin Ice $\mathrm{P}{\mathrm{r}}_2\mathrm{Z}{\mathrm{r}}_2{\mathrm{O}}_7$ pyrochlore
• Nd2Sn2O7: an all-in-all-out pyrochlore magnet with no divergence-free field and anomalously slow paramagnetic spin dynamics
• Evidence for gapped spin-wave excitations in the frustrated Gd2Sn2O7 pyrochlore antiferromagnet from low-temperature specific heat measurements
• Coexistence of magnetic order and persistent spin dynamics in a quantum kagome antiferromagnet with no intersite mixing
• Magnetothermodynamics of the Ising Antiferromagnet Dy2Ge2O7
• Low-Temperature Low-Field Phases of the Pyrochlore Quantum Magnet Tb${}_2$Ti${}_2$O${}_7$
• Low temperature specific heat and possible gap to magnetic excitations in the Heisenberg pyrochlore antiferromagnet Gd2Sn207
• Unconventional spin freezing and fluctuations in the frustrated antiferromagnet NiGa2S4
• Short-range magnetic ordering process for the triangular lattice compound NiGa2S4: a positive muon spin rotation and relaxation study
• Evidence for unidimensional low-energy excitations as the origin of persistent spin dynamics in geometrically frustrated magnets
• Low-temperature magnetic fluctuations in the Kondo insulator SmB6
• The kagome staircase compounds Ni${}_3$V${}_2$O${}_8$ and Co${}_3$V${}_2$O${}_8$ studied with implanted muons
• Persistent spin dynamics intrinsic to amplitude-modulated long-range magnetic order
• Fluctuation-Driven Selection at Criticality in a Frustrated Magnetic System: the Case of Multiple-k Partial Order on the Pyrochlore Lattice
• Magnetic excitations in dipolar pyrochlore antiferromagnet Gd${}_2$Sn${}_2$O${}_7$
• Relief of Frustration in the Heisenberg Pyrochlore Antiferromagnet Gd${}_2$Pt${}_2$O${}_7$
• Spin-liquid dynamics of pyrochlore magnets Gd2Ti2O7 and Gd2Sn2O7
• Studies of R2Ti2O7 (R=Gd and Yb); new results
• Evidence for an exotic magnetic transition in the triangular spin system FeGa2S4
• 2D Kagome Ordering in the 3D Frustrated Spinel Li2Mn2O4
• Calculation of the Expected Zero Field Muon Relaxation Rate in the Geometrically Frustrated Rare Earth Pyrochlore Gd2Sn2O7 Antiferromagnet
• Magnetic resonance in a pyrochlore antiferromagnet Gd2Ti2O7
• Spin dynamics and spin freezing in the triangular lattice antiferromagnets FeGa2S4 and NiGa2S4
• Low-temperature heat transport of the geometrically frustrated antiferromagnets R_2Ti_2O_7 (R = Gd and Er)
• Striped Magnetic Ground State of the Kagome Lattice in Fe4Si2Sn7O16
• The magnetic structure of Gd_2Ti_2O_7
• $\mu$SR study of spin freezing and persistent spin dynamics in NaCaNi${}_2$F${}_7$
• Muon diffusion and electronic magnetism in Y${}_2$Ti${}_2$O${}_7$
• Observation of a transverse magnetization in the ordered phases of the pyrochlore magnet Gd2Ti2O7
• Low temperature crystal structure and local magnetometry for the geometrically frustrated pyrochlore Tb2Ti2O7
• A two-state generalisation of the strong collision model
• Critical slowing down in the geometrically frustrated pyrochlore antiferromagnet Gd_2Ti_2O_7
• Magnetic order, spin waves and fluctuations in the triangular antiferromagnet La2Ca2MnO7
• Magnetic transition and spin fluctuations in the unconventional antiferromagnetic compound Yb3Pt4