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arXiv · 1012.4253

Spin Resistivity in the Frustrated $J_1-J_2$ Model

Danh-Tai Hoang·Yann Magnin·Hung The Diep
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Abstract

We study in this paper the resistivity encountered by Ising itinerant spins traveling in the so-called $J_1-J_2$ frustrated simple cubic Ising lattice. For the lattice, we take into account the interactions between nearest-neighbors and next-nearest-neighbors, $J_1$ and $J_2$ respectively. Itinerant spins interact with lattice spins via a distance-dependent interaction. We also take into account an interaction between itinerant spins. The lattice is frustrated in a range of $J_2$ in which we show that it undergoes a very strong first-order transition. Using Monte Carlo simulation, we calculate the resistivity $ρ$ of the itinerant spins and show that the first-order transition of the lattice causes a discontinuity of $ρ$.

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Danh-Tai Hoang, Yann Magnin, Hung The Diep. 2010-12-20. Spin Resistivity in the Frustrated $J_1-J_2$ Model. https://doi.org/10.1142/s0217984911026644

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