Edge Effect on Nanoparticles of an Interconnect Alloy from the ABV Model

Chemseddine Saada (1) , Pierre-Richard Dahoo (1) , Jorge Linares (2) , Tarek Merzouki (3) , Philippe Pougnet (4) , Abdelkhalak El Hami (5)

1 PLANETO - LATMOS
2 GEMAC - Groupe d'Etude de la Matière Condensée
3 LISV - Laboratoire d'Ingénierie des Systèmes de Versailles
4 Valeo Powertrain Systems
5 INSA Rouen Normandie - Institut national des sciences appliquées Rouen Normandie

The physical phenomena underlying crack initiation and hence failures in interconnection alloy is investigated using the ABV model [1] (Metals A and B and void V) focusing on boundary effects at the interface with the device. The Hamiltonian is expressed as the sum of the interaction energies between A, B and V with interaction parameters EAA, EBB, EAB , EAV and EBV and reformulated in terms of fictitious 3 states spins (-1, 0, +1). And new parameters J, K, and U function of the interaction energy parameters between the metal atoms A, B and void V are defined and associated to the different spin combinations of the transformed Hamiltonian. A Monte Carlo (MC) simulation of a 2D microscopic 3 states Ising model taking into account edge effects [2] at the boundary between an active chip in a photovoltaic device or a sensor and nanoparticles of an interconnect alloy is performed. The results are discussed in terms of realistic values of interaction parameters and different algorithms for fixed compositions of A, B and V.

Domains: Mechanics of materials [physics.class-ph]

Chemseddine Saada, Pierre-Richard Dahoo, Jorge Linares, Tarek Merzouki, Philippe Pougnet, et al.. Edge Effect on Nanoparticles of an Interconnect Alloy from the ABV Model. Journal of Physics: Conference Series, 2017, 936, pp.012053. ⟨10.1088/1742-6596/936/1/012053⟩. ⟨insu-01575416⟩