Spin Resistivity in the Frustrated $J_1-J_2$ Model

Details Spin Resistivity in the Frustrated $J_1-J_2$ Model Spin Resistivity in the Frustrated $J_1-J_2$ Model

2010-12-20

arxiv.org/abs/1012.4253v1

Physics

Condensed Matter

Statistical Mechanics

submitted for publication

Scientific paper

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 $\rho$ of the itinerant spins and show that the first-order transition of the lattice causes a discontinuity of $\rho$.

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