# Iterative path-integral summations for the tunneling magnetoresistance in interacting quantum-dot spin valves

## TL;DR

This paper extends the iterative summation of path integrals method to include spin-dependent tunneling, enabling accurate analysis of tunneling magnetoresistance in interacting quantum-dot spin valves across various conditions.

## Contribution

We generalize the ISPI method to account for spin-dependent tunneling, allowing for non-perturbative analysis of TMR in quantum-dot spin valves with Coulomb interactions.

## Key findings

- Resonant-tunneling processes significantly affect quantum transport.
- The generalized ISPI method accurately captures Coulomb interactions.
- The approach works across a wide range of voltages and temperatures.

## Abstract

We report on the importance of resonant-tunneling processes on quantum transport through interacting quantum-dot spin valves. To include Coulomb interaction in the calculation of the tunneling magnetoresistance (TMR), we reformulate and generalize the recently-developed, numerically-exact method of iterative summation of path integrals (ISPI) to account for spin-dependent tunneling. The ISPI scheme allows us to investigate weak to intermediate Coulomb interaction in a wide range of gate and bias voltage and down to temperatures at which a perturbative treatment of tunneling severely fails.