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Magnetoelectric oxide based stochastic spin device towards solving combinatorial optimization problems.

Saima Sharmin1, Yong Shim2, Kaushik Roy2

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This study presents a novel method for solving complex optimization problems using multiferroic materials to control artificial spin units. This approach leverages the magnetoelectric effect for efficient, voltage-controlled operations in Ising Hamiltonian simulations.

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Area of Science:

  • Condensed matter physics
  • Computational physics
  • Materials science

Background:

  • Combinatorial optimization problems are computationally challenging.
  • Mapping these problems to the Ising Hamiltonian ground-state search is a viable strategy.
  • Realizing physical systems for artificial spin units is an active research area.

Purpose of the Study:

  • To demonstrate a novel scheme for modeling the Ising Hamiltonian using multiferroic oxide/nanomagnet units.
  • To utilize the magnetoelectric effect for voltage-controlled spin units, reducing current flow.
  • To configure the coupling network directly from the Ising Hamiltonian for specific problems like the Traveling Salesman Problem (TSP).

Main Methods:

  • Modeling Ising Hamiltonian with multiferroic oxide/nanomagnet units.
  • Utilizing the magnetoelectric effect for voltage control of spin units.
  • Developing a coupled micromagnetic simulation framework.
  • Configuring the coupling network from the Ising Hamiltonian of a TSP.

Main Results:

  • Demonstrated a scheme for Ising Hamiltonian implementation with multiferroic units.
  • Achieved voltage-controlled spin units with reduced current.
  • Successfully configured the coupling network for TSP.
  • Solved 26-city and 15-city Traveling Salesman Problems with 100% accuracy for the 15-city instance.

Conclusions:

  • Multiferroic oxide/nanomagnet units offer a promising physical system for solving combinatorial optimization problems.
  • The proposed voltage-controlled approach enhances efficiency and reduces power consumption.
  • The direct configuration of the coupling network from the Ising Hamiltonian provides a unique and effective method for problem-solving.