The ferromagnetic transition and domain structure in LiHoF4

Abstract

Using Monte Carlo simulations we confirm that the rare-earth compound LiHoF4 is a very good realization of a dipolar Ising model. With only one free parameter our calculations for the magnetization, specific heat and inverse susceptibility match experimental data at a quantitative level in the single Kelvin temperature range, including the ferromagnetic transition at 1.53 K. Using parallel tempering methods and reaching system sizes up to 32000 dipoles with periodic boundary conditions we are able to give strong direct evidence of the logarithmic corrections predicted in renormalization group theory. Due to the long range and angular dependence of the dipolar model sample shape and domains play a crucial role in the ordered state. We go beyond Griffiths's theorem and consider surface corrections arising in finite macroscopic samples leading to a theory of magnetic domains. We predict that the ground-state domain structure for cylinders with a demagnetization factor N>0 consists of thin parallel sheets of opposite magnetization, with a width depending on the demagnetization factor.

5 pages, 9 figures

References in corpus (8)

• Thermodynamic Properties of the Dipolar Spin Ice Model
• Coherent Spin Oscillations in a Disordered Magnet
• Theory of the Magnetic phase diagram of LiHoF${}_4$
• Crystal structures and freezing of dipolar fluids
• Phase diagram of the dilute magnet LiHo_xY_{1-x}F_4
• Perturbative Quantum Monte Carlo Study of LiHoF4 in a Transverse Magnetic Field
• Absence of Domain Wall Roughening in a Transverse Field Ising Model with Long-Range Interactions
• Effect of weak disorder on the ground state of uniaxial dipolar spin systems in the upper critical dimension

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• Emergence of mesoscale quantum phase transitions in a ferromagnet
• Pure and Random-Field Quantum Criticality in the Dipolar Ising Model: Theory of $M{n}_{12}$ acetates
• LiHoF${}_4$: Cuboidal Demagnetizing Factor in an Ising Ferromagnet
• Novel disordering mechanism in ferromagnetic systems with competing interactions
• Phase diagram of a three-dimensional dipolar Ising model with textured Ising axes
• Magnetic domain dynamics in an insulating quantum ferromagnet
• A Gallery of Soft Modes: Theory and Experiment at a Ferromagnetic Quantum Phase Transition
• Dipolar Ising Model: Phases, Growth Laws and Universality
• LiHoF4 as a spin-half non-standard quantum Ising system
• Magnetostatic modes and criticality in quantum-Ising materials