Non-monotonic zero point entropy in diluted spin ice

Abstract

Water ice and spin ice are important model systems in which theory can directly account for zero point entropy associated with quenched configurational disorder. Spin ice differs from water ice in the important respect that its fundamental constituents, the spins of the magnetic ions, can be removed through replacement with non-magnetic ions while keeping the lattice structure intact. In order to investigate the interplay of frustrated interactions and quenched disorder, we have performed systematic heat capacity measurements on spin ice materials which have been thus diluted up to 90%. Investigations of both Ho and Dy spin ices reveal that the zero point entropy depends non-monotonically on dilution and approaches the value of Rln2 in the limit of high dilution. The data are in good agreement with a generalization of Pauling's theory for the entropy of ice.

Accepted to be published in Phys. Rev. Lett

References in corpus (12)

• Spin Ice State in Frustrated Magnetic Pyrochlore Materials
• Artificial "spin ice" in a geometrically frustrated lattice of nanoscale ferromagnetic islands
• Dipolar Interactions and Origin of Spin Ice in Ising Pyrochlore Magnets
• Long Range Order at Low Temperature in Dipolar Spin Ice
• Ising pyrochlore magnets: Low temperature properties, ice rules and beyond
• Artificial square ice and related dipolar nanoarrays
• Why spin ice obeys the ice rules
• Zero Point Entropy in Stuffed Spin Ice
• Short-range Magnetic interactions in the Spin-Ice compound Ho${}_2$Ti${}_2$O${}_7$
• Quantum and thermal spin relaxation in diluted spin ice: Dy(2-x)MxTi2O7 (M = Lu, Y)
• Ordering and partial ordering in holmium titanate and related systems
• Semiclassical degeneracies and ordering for highly frustrated magnets in a field

Cited by in corpus (29)

• Magnetic Pyrochlore Oxides
• Ground State Phase Diagram of Generic XY Pyrochlore Magnets with Quantum Fluctuations
• Magneto-optical Kerr Effect Studies of Square Artificial Spin Ice
• New physics in frustrated magnets: Spin ices, monopoles, etc
• Order from structural disorder in $XY$ pyrochlore antiferromagnet $\mathrm{E}{\mathrm{r}}_2\mathrm{T}{\mathrm{i}}_2{\mathrm{O}}_7$
• Collective Phenomena in the LiHo_xY_{1-x}F4 Quantum Ising Magnet: Recent Progress and Open Questions
• Coulomb phase diagnostics as function of temperature, interaction range and disorder
• Excess specific heat and evidence of zero point entropy in magnetic glassy state of half-doped manganites
• Spin ice on the trillium lattice studied by Monte Carlo calculations
• Non-monotonic residual entropy in diluted spin ice: a comparison between Monte Carlo simulations of diluted dipolar spin ice models and experimental results
• High temperature onset of field-induced transitions in the spin-ice compound Dy2Ti2O7
• Low temperature dynamic freezing and the fragility of ordering in Tb2Sn2O7
• Suppression of Pauling's Residual Entropy in Dilute Spin Ice (Dy${}_{1-x}$Y${}_x$)${}_2$Ti${}_2$O${}_7$
• Experimental observation of magnetoelectricity in spin ice Dy${}_2$Ti${}_2$O${}_7$
• Emergent order in the spin-frustrated system DyxTb2-xTi2O7 studied by ac susceptibility measurements
• Entropy of the diluted antiferromagnetic Ising models on the frustrated lattices using the Wang-Landau method
• Comparison of diluted antiferromagnetic Ising models on frustrated lattices in a magnetic field
• Large peaks in the entropy of the diluted nearest-neighbor spin-ice model on the pyrochlore lattice in a [111] magnetic field
• Structure and magnetic studies of geometrically frustrated disordered pyrochlores A${}_2$Zr${}_2$O${}_7$: (A = Eu, Gd, Er)
• Dilution effects in Ho${}_{2-x}$Y${}_x$Sn${}_2$O${}_7$: from the Spin Ice to the single-ion magnet
• Large-scale calculation of ferromagnetic spin systems on the pyrochlore lattice
• Amorphous ferromagnetism and re-entrant magnetic glassiness in Sm${}_2$Mo${}_2$O${}_7$: new insights into the electronic phase diagram of pyrochlore molybdates
• Interplay of dilution and magnetic field in the nearest-neighbor spin-ice model on the pyrochlore lattice
• Spin Wave Excitations in AFe${}_{1.5}$Se${}_2$ (A=K, Tl): Analytical Study
• Random site dilution properties of frustrated magnets on a hierarchical lattice
• Assessment of the RE(OH)3 Ising-like Magnetic Materials as Possible Candidates for the Study of Transverse-Field-Induced Quantum Phase Transitions
• Robustness of entropy plateaus: A case study of triangular Ising antiferromagnets
• Energetic analysis of disorder effects in an artificial spin ice with dipolar interactions
• The dipolar spin glass transition in three dimensions