Post navigation not working on custom page

I’ve got two different loops. The default on the homepage, but a secondary loop on the archive page. It grabs all the content, like so:

<?php // WP_Query arguments
    $args = array (
    	'posts_per_page'         => '3'
    );
    // The Query
    $archiveQuery = new WP_Query( $args );

    // The Loop
    if ( $archiveQuery->have_posts() ) {
    	while ( $archiveQuery->have_posts() ) {
    		$archiveQuery->the_post(); ?>
    		<div class="post">
    <a href="<?php the_permalink() ?>">
    	<?php  first_item(); ?> </a>

However, when I include posts_nav_link();, it does not show up. Is this because it is a static page? I am using this for an infinite scroll.