Dynamic susceptibility and dynamic correlations in spin ice

Abstract

Here we calculate the dynamic susceptibility and dynamic correlation function in spin ice using the model of emergent magnetic monopoles. Calculations are based on a method originally suggested for the description of dynamic processes in water ice (non-equilibrium thermodynamics approach). We show that for zero temperature the dynamic correlation function reproduces the transverse dipole correlations (static correlation function) characteristic of spin ice in its ground state. At non-zero temperatures the dynamic correlation function includes an additional longitudinal component which decreases as the temperature decreases. Both terms (transverse and longitudinal) exhibit identical Debye-like dependences on frequency but with different relaxation times: the magnetic Coulomb interaction of monopoles reduces the longitudinal relaxation time with respect to the transverse one. We calculate the dielectric function for the magnetic monopole gas and discuss how the non-equilibrium thermodynamics approach exposes corrections to the Debye-Huckel theory of magnetic monopoles and the concept of "entropic charge".

5 pages, 2 figures

References in corpus (8)

• Onsager's Wien Effect on a Lattice
• Brownian Motion and Quantum Dynamics of Magnetic Monopoles in Spin Ice
• Spin Dynamics in Pyrochlore Heisenberg Antiferromagnets
• Topological Sector Fluctuations and Curie Law Crossover in Spin Ice
• Coulomb phase diagnostics as function of temperature, interaction range and disorder
• Thermal Conductivity and Specific Heat of the Spin-Ice Compound Dy${}_2$Ti${}_2$O${}_7$: Experimental Evidence for Monopole Heat Transport
• Magnetic correlations in spin ice Ho2-xYxTi2O7 as revealed by neutron polarization analysis
• Electronic transport in the Coulomb phase of the pyrochlore spin ice

Cited by in corpus (8)

• AC Wien effect in spin ice, manifest in non-linear non-equilibrium susceptibility
• Tension-free Dirac strings and steered magnetic charges in 3D artificial spin ice
• Topological Superconductivity in Metal/Quantum-Spin-Ice Heterostructures
• Probing Flat Band Physics in Spin Ice Systems via Polarized Neutron Scattering
• Screening and the Pinch Point Paradox in Spin Ice
• Unusual spin dynamics in topological insulators
• Spin ice in a general applied magnetic field: Kasteleyn transition, magnetic torque and rotational magnetocaloric effect
• Time scales in the thermal dynamics of magnetic dipolar clusters