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We study the spectral minimum and Lifshitz tails for continuum randomSchr\"{o}dinger operators of the form \begin{equation*}H_{\om}=-\De+V_{0}+\sum_{i\in\Z^{d}}\om_{i}u(\cdot-i), \end{equation*} where$V_{0}$ is the periodic potential, $\{\om_{i}\}_{i\in\Z^{d}}$ are i.i.d randomvariables and $u$ is the sign-indefinite impurity potential. Recently, thismodel has been proven to exhibit Lifshitz tails near the bottom of the spectrumunder the small support assuption of $u$ and the reflection symmetry assumptionof $V_{0}$ and $u$. We here drop the reflection symmetry assumption of $V_{0}$and $u$. We first give characterizations of the bottom of the spectrum. Then,we show the existence of Lifshitz tails in the regime where thecharacterization of the bottom of the spectrum is explicit. In particular, thisregime covers the reflection symmetry case.

Lifshitz Tails for Anderson Models with Sign-Indefinite Single-Site Potentials