Magnetic Susceptibility and Order Parameter of the Spin-Glass-Like Phase of the Double-Exchange Model

Fishman, Randy Scott

doi:10.1103/physrevlett.97.177204

Phys. Rev. Lett.

2006

DOI: 10.1103/physrevlett.97.177204

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Magnetic Susceptibility and Order Parameter of the Spin-Glass-Like Phase of the Double-Exchange Model

Randy Scott Fishman

Abstract: The magnetic susceptibility and Edwards-Anderson order parameter q of the spin-glass-like (SGL) phase of the double-exchange model are evaluated in the weak-coupling or RKKY limit. Dynamical mean-field theory is used to show that q = M(T/T(SGL))2, where M is the classical Brillouin function and T(SGL) is the SGL transition temperature. The correlation length of the SGL phase is determined by a correlation parameter Q that maximizes T(SGL) and minimizes the free energy. The magnetic susceptibility has a cusp at… Show more

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“…This argument, however, cannot hold for all values of the model parameters, which is clear already from the fact that in the limit of small Hund's rule coupling constant, J, the model yields the RKKY interactions that can be FM or AFM, depending on the distance between the spins, which frustrates the uniform FM order and can lead to glass-like states [12,13]. In the opposite limit of strong J, the electron hopping for the half-filled conduction band can be treated as a perturbation.…”

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Incommensurate Spiral Order from Double-Exchange Interactions

Azhar

Mostovoy

2017

Phys. Rev. Lett.

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The double exchange model describing interactions of itinerant electrons with localized spins is usually used to explain ferromagnetism in metals. We show that for a variety of crystal lattices of different dimensionalities and for a wide range of model parameters the ferromagnetic state is unstable against a non-collinear spiral magnetic order. We revisit the phase diagram of the double exchange model on a triangular lattice and show in a large part of the diagram the incommensurate spiral state has a lower energy than the previously discussed commensurate states. These results indicate that double exchange systems are inherently frustrated and can host unconventional spin orders. Introduction: Non-collinear spin orders are inextricably related to inversion symmetry breaking in crystals and give rise to unconventional physical phenomena, such as magnetically-induced ferroelectricity and electric excitation of magnons in spiral magnets [1,2]. Non-coplanar spin structures of skyrmions induce effective electromagnetic fields resulting in topological electron and magnon Hall effects [3]. Skyrmion dynamics induced by applied electric currents can be used in high-density magnetic memory devices [4]. Non-collinear magnetic orders are, however, relatively rare and it is of great interest to find new materials showing such states.There are several well-understood microscopic mechanisms for non-collinear spin ordering. One of them is the relativistic Dzyaloshinskii-Moriya interaction which stabilizes spiral and skyrmion crystal states in chiral magnets [5,6]. Non-collinear magnetism in Mott insulators is often a result of competing ferromagnetic (FM) and antiferromagnetic (AFM) Heisenberg interactions between spins, while in magnets with both itinerant and localized electrons it can originate from the RKKY interaction [7][8][9] closely related to Fermi surface instability.Here we focus on the double exchange (DE), which was originally invoked to explain ferromagnetism in doped manganites [10,11]. The DE model, also known as the ferromagnetic Kondo lattice model, describes a lattice of classical spins interacting with the conduction electrons through the Hund's rule coupling which aligns the spins of the conduction and localized electrons occupying the same lattice site. If the spins on neighboring sites are not parallel, the effective electron hopping amplitude decreases, which increases kinetic energy of the conduction electrons. In this way conduction electrons provide an effective FM interaction between the lattice spins.This argument, however, cannot hold for all values of the model parameters, which is clear already from the fact that in the limit of small Hund's rule coupling constant, J, the model yields the RKKY interactions that can be FM or AFM, depending on the distance between

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confidence: 99%

Incommensurate Spiral Order from Double-Exchange Interactions

Azhar

Mostovoy

2017

Phys. Rev. Lett.

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Nonlinear fragile-to-strong transition in a magnetic glass system driven by magnetic field

et al. 2017

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Relaxation dynamics in nonlinear response regime have become an emerging novel tool to study the dynamics and structure of glassy materials. It provides additional insights relative to the standard linear response experiments. However, limited by inherent endurance of the materials to external fields, up to now, almost all the probed nonlinear effects are very weak. Here, strong nonlinear effects are observed in magnetic systems with disordered spins (i.e. magnetic glass). In particular, we report a pronounced fragility transition as driven by the external magnetic field as a result of nonlinear dynamic response. Such model systems provide a new platform to study the glassy dynamics with large and tunable nonlinearity.

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Magnetic Susceptibility and Order Parameter of the Spin-Glass-Like Phase of the Double-Exchange Model

Cited by 2 publications

References 30 publications

Incommensurate Spiral Order from Double-Exchange Interactions

Incommensurate Spiral Order from Double-Exchange Interactions

Nonlinear fragile-to-strong transition in a magnetic glass system driven by magnetic field

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