Debye-Hückel theory for spin ice at low temperature

Abstract

At low temperatures, spin ice is populated by a finite density of magnetic monopoles-pointlike topological defects with a mutual magnetic Coulomb interaction. We discuss the properties of the resulting magnetic Coulomb liquid in the framework of Debye Hückel theory, for which we provide a detailed context-specific account. We discuss both thermodynamical and dynamical signatures, and compare Debye Hückel theory to experiment as well as numerics, including data for specific heat and AC susceptibility. We also evaluate the entropic Coulomb interaction which is present in addition to the magnetic one and show that it is quantitatively unimportant in the current compounds. Finally, we address the role of bound monopole anti-monopole pairs and derive an expression for the monopole mobility.

(13 pages, 11 figures; added discussion of bound pairs)

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• Statics and dynamics of the highly correlated spin ice Ho2Ge2O7
• Fragmentation in Frustrated Magnets -- A review
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• Thermal Conductivity and Specific Heat of the Spin-Ice Compound Dy${}_2$Ti${}_2$O${}_7$: Experimental Evidence for Monopole Heat Transport
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• Proposal for the Detection of Magnetic Monopoles in Spin Ice via Nanoscale Magnetometry
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• Monopole ordered phases in dipolar and nearest-neighbours Ising pyrochlore: from spin ice to the "all-in--all-out" antiferromagnet
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• Common Glass-Forming Spin-Liquid State in the Pyrochlore Magnets Dy${}_2$Ti${}_2$O${}_7$ and Ho${}_2$Ti${}_2$O${}_7$
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• Anisotropic Monopole Heat Transport in the Spin-Ice Compound Dy${}_2$Ti${}_2$O${}_7$
• AC Susceptibility of the Dipolar Spin Ice Dy2Ti2O7: Experiments and Monte Carlo Simulations
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• The Colored Noise of Magnetic Monopoles: Subdiffusion in a Coevolving Vacuum and Spin Ice Exponents
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