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1D Random-Field Ising Model Experimentally Realized

• Physics 14, s145

Researchers precisely replicate the predictions of the 1D random-field Ising mannequin in a synthetic spin ice.

The 1D random-field Ising model (1D-RFIM) is, for many, the go-to model for approximating avalanche phenomena in systems ranging from granular materials to electrical circuits. But most of the systems approximated by the model are 2D or 3D, and the results and predictions don’t always match. Now, Peter Schiffer of Yale University, Karin Dahmen of the University of Illinois at Urbana-Champaign, and colleagues show that they can accurately realize the 1D model in an artificial spin ice (ASI) [1]. Schiffer says that their experimental demonstration might permit for higher modeling of extra advanced avalanching programs.

ASIs—programs that encompass nanomagnets organized on a lattice—can exhibit avalanche habits when the magnetic moments of clusters of magnets instantly flip route in fast succession. This course of is triggered by making use of exterior magnetic fields to the ASI, however it may be laborious to manage. Looking to higher manipulate avalanching on this system, Schiffer and his colleagues designed an ASI the place the flipping dynamics comply with that of the 1D mannequin as carefully as doable.

The group’s ASI includes a 2D array of rod-shaped magnets organized on a sq. lattice. The ASI began off in its collective floor state, the place the magnets in every column shared a single alignment, reverse to that of the columns on both aspect. They then utilized a collection of magnetic fields to the system and measured the moments of the magnets with a magnetic pressure microscope.

Analyzing the sizes of the ensuing avalanches alongside the columns, the group discovered that they straight matched these predicted by the 1D-RFIM. The group says that the evaluation framework they developed must also be relevant to different programs that exhibit avalanche habits.

–Katherine Wright

Katherine Wright is the Deputy Editor of Physics.


  1. N. S. Bingham et al., “Experimental realization of the 1D random field Ising model,” Phys. Rev. Lett. 127, 207203 (2021).

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