Modeling of Thermoelectric Effects in Phase Change Memory Cells

Abstract

Thermoelectric effects on phase change memory elements are computationally analyzed through 2-D rotationally symmetric finite-element simulations of reset operation on a Ge <sub xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">2</sub> Sb <sub xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">2</sub> Te <sub xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">5</sub> (GST) mushroom cell with 10-nm critical dimension. Temperature-dependent material parameters are used to determine the thermoelectric contributions at the junctions (Peltier heat) and within GST (Thomson heat). Thermal boundary resistances at the GST interfaces enhance the Peltier heat contribution. Peak current densities and thermal gradients are in the order of 250 MA/cm <sup xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">2</sup> and 50 K/nm. Overall, thermoelectric effects are shown to introduce significant voltage polarity dependence on the operation dynamics, peak temperatures, thermal gradients, volume of the molten region, energy required, and resistance contrast. Resistance contrasts of ~ 8.8 × 10 <sup xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">3</sup> were realized with 155 μA for the positive polarity and 245 μA for the negative polarity.