# Nonperturbative functional renormalization-group approach to transport in the vicinity of a $(2+1)$-dimensional O($N$)-symmetric quantum critical point

@article{Rose2016NonperturbativeFR, title={Nonperturbative functional renormalization-group approach to transport in the vicinity of a \$(2+1)\$-dimensional O(\$N\$)-symmetric quantum critical point}, author={F'elix Rose and Nicolas Dupuis}, journal={arXiv: Strongly Correlated Electrons}, year={2016}, pages={014513} }

Using a nonperturbative functional renormalization-group approach to the two-dimensional quantum O($N$) model, we compute the low-frequency limit $\omega\to 0$ of the zero-temperature conductivity in the vicinity of the quantum critical point. Our results are obtained from a derivative expansion to second order of a scale-dependent effective action in the presence of an external (i.e., non-dynamical) non-Abelian gauge field. While in the disordered phase the conductivity tensor $\sigma(\omega… Expand

#### 9 Citations

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Abstract
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