Universal dynamics of magnetic monopoles in two-dimensional kagomé ice

Abstract

A magnetic monopole in spin ice is a novel quasiparticle excitation in condensed matter physics, and we found that the ac frequency dependent magnetic susceptibility $\chi (\omega )$ in the two-dimensional (2D) spin ice (so-called kagomé ice) of Dy${}_2$Ti${}_2$O${}_7$ shows a single scaling form. This behavior can be understood in terms of the dynamical scaling law for 2D Coulomb gas (CG) systems [Phys. Rev. B 90, 144428 (2014)], characterized by the charge correlation length $\xi (\propto 1/\sqrt{{\omega }_1})$, where ${\omega }_1$ is a characteristic frequency proportional to the peak position of the imaginary part of $\chi (\omega )$. It is a generic behavior among a wide variety of models such as the vortex dynamics of 2D superconductors, 2D superfluids, classical XY magnets, and dynamics of melting of Wigner crystals.

arXiv comment5 pages, 4 figures, Supplemental Material

References in corpus (24)

• Spin Ice State in Frustrated Magnetic Pyrochlore Materials
• Magnetic Monopoles in Spin Ice
• Anomalous Hall Effect and Magnetic Monopoles in Momentum-Space
• Seeing the magnetic monopole through the mirror of topological surface states
• Dirac Strings and Magnetic Monopoles in Spin Ice Dy2Ti2O7
• Dipolar Interactions and Origin of Spin Ice in Ising Pyrochlore Magnets
• The "Coulomb phase" in frustrated systems
• Spin Ice, Fractionalization and Topological Order
• Long Range Order at Low Temperature in Dipolar Spin Ice
• Why spin ice obeys the ice rules
• A new macroscopically degenerate ground state in the spin ice compound Dy2Ti2O7 under a magnetic field
• Observation of Magnetic Monopoles in Spin Ice
• Theory of the [111] magnetization plateau in spin ice
• Specific Heat of Kagome Ice in the Pyrochlore Oxide Dy2Ti2O7
• Magnetization process of spin ice in a [111] magnetic field
• Kagomé ice state in the dipolar spin ice Dy_{2}Ti_{2}O_{7}
• Brownian Motion and Quantum Dynamics of Magnetic Monopoles in Spin Ice
• Refrustration and competing orders in the prototypical Dy2Ti2O7 spin ice material
• Far from equilibrium monopole dynamics in spin ice
• Low Temperature Specific Heat of Dy${}_2$Ti${}_2$O${}_7$ in the Kagome Ice State
• Pauling entropy, metastability and equilibrium in Dy${}_2$Ti${}_2$O${}_7$ spin ice
• A Supercooled Spin Liquid State in the Frustrated Pyrochlore Dy2Ti2O7
• AC Susceptibility of the Dipolar Spin Ice Dy2Ti2O7: Experiments and Monte Carlo Simulations
• Field-rotational magnetocaloric effect: A new experimental technique for accurate measurement of the anisotropic magnetic entropy