Charge ordering in a pure spin model: dipolar spin-ice

Abstract

We study the dipolar spin-ice model at fixed density of single excitations, $\rho$, using a Monte Carlo algorithm where processes of creation and annihilation of such excitations are banned. In the limit of $\rho$ going to zero, this model coincides with the usual dipolar spin-ice model at low temperatures, with the additional advantage that a negligible number of monopoles allows for equilibration even at the lowest temperatures. Thus, the transition to the ordered fundamental state found by Melko et al. in 2001 is reached using simple local spin flip dynamics. As the density is increased, the monopolar nature of the excitations becomes apparent: the system shows a rich $\rho$ vs. $T$ phase diagram with "charge" ordering transitions analogous to that observed for Coulomb charges in lattices. A further layer of complexity is revealed by the existence of order both within the charges and their associated vacuum, which can only be described in terms of spins --the true microscopic degrees of freedom of the system.

5 pages, 4 figures

References in corpus (9)

• Spin Ice State in Frustrated Magnetic Pyrochlore Materials
• Magnetic Monopoles in Spin Ice
• Dirac Strings and Magnetic Monopoles in Spin Ice Dy2Ti2O7
• Spin Ice, Fractionalization and Topological Order
• Signature of magnetic monopole and Dirac string dynamics in spin ice
• Long Range Order at Low Temperature in Dipolar Spin Ice
• Thermodynamic Properties of the Dipolar Spin Ice Model
• Low Temperature Specific Heat of Dy${}_2$Ti${}_2$O${}_7$ in the Kagome Ice State
• First order metamagnetic transition in Ho2Ti2O7 observed by vibrating coil magnetometry at milli-Kelvin temperatures

Cited by in corpus (24)

• Magnetic-Moment Fragmentation and Monopole Crystallization
• Fragmentation in Frustrated Magnets -- A review
• Intermediate magnetisation state and competing orders in Dy${}_2$Ti${}_2$O${}_7$ and Ho${}_2$Ti${}_2$O${}_7$
• Topological aspects of symmetry breaking in triangular-lattice Ising antiferromagnets
• When opposites repel: from metastability to extended chiral spin textures in spin ice with short-range topological-defect interactions
• Emergent Electrochemistry in Spin Ice: Debye-Hückel Theory and Beyond
• Fragmented monopole crystal, dimer entropy and Coulomb interactions in Dy${}_2$Ir${}_2$O${}_7$
• Monopole ordered phases in dipolar and nearest-neighbours Ising pyrochlore: from spin ice to the "all-in--all-out" antiferromagnet
• Field-tuned order by disorder in Ising frustrated magnets with antiferromagnetic interactions
• Monopole holes in a partially ordered spin liquid
• Monopolar and dipolar relaxation in spin ice Ho${}_2$Ti${}_2$O${}_7$
• The multiple symmetry sustaining phase transitions of spin ice
• Dipolar Spin Ice Under Uniaxial Pressure
• Frustration on a centred pyrochlore lattice in metal-organic frameworks
• Charge and spin correlations in the Monopole Liquid
• The 3D Kasteleyn transition in dipolar spin ice: a numerical study with the Conserved Monopoles Algorithm
• The Polarized Monopole Liquid: a Coulomb phase in a fluid of magnetic charges
• The Classical Heisenberg Model on the Centred Pyrochlore Lattice
• Tunable critical correlations in kagome ice
• Monte Carlo study on the detection of classical order by disorder in real antiferromagnetic Ising pyrochlores
• Perfectly hidden order and Z2 confinement transition in a fully packed monopole liquid
• Neutron scattering from fragmented frustrated magnets
• Anomalous out-of-equilibrium dynamics in the spin-ice material Dy${}_2$Ti${}_2$O${}_7$ under moderate magnetic fields
• Phase Transition and Monopoles Densities in a Nearest Neighbors Two-Dimensional Spin Ice Model