  We give a complete characterization of Riesz bases of normalized reproducing
kernels in the small Fock spaces $\mathcal{F}^2_{\varphi}$, the spaces of
entire functions $f$ such that $f\mathrm{e}^{-\varphi} \in L^{2}(\mathbb{C})$,
where $\varphi(z)= (\log^+|z|)^{\beta+1}$, $0< \beta \leq 1$.The first results
in this direction are due to Borichev-Lyubarskii who showed that $\varphi$ with
$\beta=1$ is the largest weight for which the corresponding Fock space admits
Riesz bases of reproducing kernels. Later, such bases were characterized by
Baranov-Dumont-Hartman-Kellay in the case when $\beta=1$. The present paper
answers a question in Baranov et al. by extending their results for all
parameters $\beta\in (0,1)$. Our results are analogous to those obtained for
the case $\beta=1$ and those proved for Riesz bases of complex exponentials for
the Paley-Wiener spaces. We also obtain a description of complete interpolating
sequences in small Fock spaces with corresponding uniform norm.
