Scattering theory of transport through disordered magnets

Abstract

We present a scattering theory of transport through noncollinear disordered magnetic insulators. For concreteness, we study and compare the random field model (RFM) and the random anisotropy model (RAM). The RFM and RAM are used to model random spin disorder systems and amorphous materials, respectively. We utilize the Landauer-Buttiker formalism to compute the transmission probability and spin conductance of one-dimensional disordered spin chains. The RFM and the RAM both exhibit Anderson localization, which means that the transmission probability and spin conductance decay exponentially with the system length. We define two localization lengths based on the transmission probability and the spin conductance, respectively. Next, we numerically determine the relationship between the localization lengths and the strength of the disorder. In the limit of weak disorder, we find that the localization lengths obey power laws and determine the critical exponents. Our results are expressed via the universal exchange length and are therefore expected to be general.

References in corpus (44)

• Random-Matrix Theory of Quantum Transport
• Universal Intrinsic Spin-Hall Effect
• Dissipationless Quantum Spin Current at Room Temperature
• Enhanced Gilbert Damping in Thin Ferromagnetic Films
• Spin Caloritronics
• Direct observation of Anderson localization of matter-waves in a controlled disorder
• Direct electronic measurement of the spin Hall effect
• The many-body localization phase transition
• Many-body localization edge in the random-field Heisenberg chain
• Room Temperature Reversible Spin Hall Effect
• Many body localization in Heisenberg XXZ magnet in a random field
• Many-body localization in a quantum simulator with programmable random disorder
• Long distance transport of magnon spin information in a magnetic insulator at room temperature
• Electrically controlled long-distance spin transport through an antiferromagnetic insulator
• Spin-Glass Theory for Pedestrians
• Ergodicity breaking in a model showing many-body localization
• Spin-glass ground state in a triangular-lattice compound YbZnGaO${}_4$
• Antiferromagnetic Domain Wall Motion Induced by Spin Waves
• Magnonics: Experiment to Prove the Concept
• Entanglement spreading in a many-body localized system
• Long-distance spin transport in a disordered magnetic insulator
• Nonperturbative functional renormalization group for random field models: the way out of dimensional reduction
• Propagation of Thermally Induced Magnonic Spin Currents
• Spin transport of weakly disordered Heisenberg chain at infinite temperature
• Controlling Chiral Domain Walls in Antiferromagnets Using Spin-Wave Helicity
• Lack of self-averaging of the specific heat in the three-dimensional random-field Ising model
• Calculating the transport properties of magnetic materials from first-principles including thermal and alloy disorder, non-collinearity and spin-orbit coupling
• Phase transitions in disordered systems: the example of the random-field Ising model in four dimensions
• Symmetry and the macroscopic dynamics of antiferromagnetic materials in the presence of spin-polarized current
• Spin hydrodynamics in amorphous magnets
• Metastable States in Spin Glasses and Disordered Ferromagnets
• Generalized Boundary Conditions for Spin Transfer
• Charge current driven by spin dynamics in disordered Rashba spin-orbit system
• Network of inherent structures in spin glasses: scaling and scale-free distributions
• From simple to complex networks: inherent structures, barriers and valleys in the context of spin glasses
• Spin-wave localization in disordered magnets
• Marginally Self-Averaging One-Dimensional Localization in Bilayer Graphene
• Weak localization of magnons in a disordered two-dimensional antiferromagnet
• Random field and random anisotropy O(N) spin systems with a free surface
• Counting metastable states of Ising spin glasses on arbitrary graphs
• Energy barriers in spin glasses
• Inplane anisotropy of longitudinal thermal conductivities and weak localization of magnons in a disordered spiral magnet
• Weak localization of magnons in chiral magnets
• Effective realization of random magnetic fields in compounds with large single-ion anisotropy

Cited by in corpus (3)

• Bosonic Bott Index and Disorder-Induced Topological Transitions of Magnons
• Absence of evidence of spin transport through amorphous Y${}_3$Fe${}_5$O${}_{12}$
• Dynamically stabilized spin superfluidity in frustrated magnets