Spin Transport in Magnetically Ordered Systems: Ferromagnets, Antiferromagnets and Frustrated Systems

Abstract

In this review, we outline the important results on the resistivity encountered by an electron in magnetically ordered materials. The mechanism of the collision between the electron and the lattice spins is shown. Experiments on the spin resistivity in various magnetic materials as well as theoretical background are recalled. We focus on our works since 15 years using principally Monte Carlo simulations. In these works, we have studied the spin resistivity in various kinds of magnetic systems ranging from ferromagnets and antiferromagnets to frustrated spin systems. It is found that the spin resistivity shows a broad peak at the transition temperature in systems with a second-order phase transition, while it undergoes a discontinuous jump at the transition temperature of a first-order transition. New results on the hexagonal-close-packed (HCP) antiferromagnet are also shown in extended details for the Ising case in both the frustrated and non-frustrated parameter regions.

arXiv comment20 pages, 20 figures

References in corpus (19)

• Phase transitions in LaFeAsO: structural, magnetic, elastic, and transport properties, heat capacity and Mossbauer spectra
• Anisotropy in the electrical resistivity and susceptibility of superconducting BaFe${}_2$As${}_2$ single crystals
• Critical thickness for itinerant ferromagnetism in ultrathin films of SrRuO${}_3$
• Monte Carlo renormalization group study of the Heisenberg and XY antiferromagnet on the stacked triangular lattice and the chiral ${\varphi }^4$ model
• Low Temperature Neutron Diffraction Study of MnTe
• Short-time dynamics and critical behavior of three-dimensional site-diluted Ising model
• Peculiar behavior of the electrical resistivity of MnSi at the ferromagnetic phase transition
• Monte Carlo Study of Magnetic Resistivity in Semiconducting MnTe
• Effects of Frustrated Surface in Heisenberg Thin Films
• Scaling theory of magneto-resistance in disordered local moment ferromagnets
• Temperature Dependence of the Spin Resistivity in Ferromagnetic Thin Films
• Spin transport in magnetic multilayers
• Short-time dynamics of a family of XY noncollinear magnets
• Magnetic properties of perovskites La${}_{0.7}$Sr${}_{0.3}$Mn${}_{0.7}^{3+}$Mn${}_{0.3-x}^{4+}$Ti${}_x$O${}_3$:Monte Carlo simulation versus experiments
• Spin Resistivity in Frustrated Antiferromagnets
• Spin Resistivity in the Frustrated $J_1-J_2$ Model
• Effects of Ferromagnetic Magnetic Ordering and Phase Transition on the Resistivity of Spin Current
• Flat Energy-Histogram Simulation of the Phase Transition in an Ising Fully Frustrated Lattice
• Spin transport in magnetically ordered systems: effect of the lattice relaxation time

Cited by in corpus (1)

• Long-distance spin transport in frustrated hyperkagome magnet Gd3Ga5O12