Although it isn't inconceivable to create a landing page specifically for one linkbuilding campaign, and I'm sure I could figure out a time and a place for that, linkbuilding is generally an activity that is done to an entire website. Starting out from the very top...
First, figure out who your target visitor is. Then, thoroughly research exactly what keywords you wish to rank for organically (based on relevance to these target visitors, estimated traffic from these keywords, available conversion rate information, and level of competition). Once you know what keywords you need to go after, figure out how these keywords work with your current content. Sometimes you can simply assign your target keywords to relevant existing content, or repurpose current content to fit in with your target keywords. Usually you have to create new content, at least to some extent, to target keywords on your wishlist. In many ways, that's the same thing as building a landing page specifically for a linkbuilding campaign.
Once you've got your content and keywords all squared away, linkbuilding generally does not focus on one specific page, but on a wide variety of important pages. Part of Google's algorithm is not just the authority and trust of a given page, but the authority and trust of the entire domain, so it is beneficial to build links to each important page on your website. Because of a variety of factors, most websites have a majority of their links pointed at their homepage, however other pages containing important information, great content, or any other type of linkbait typically have large amounts of links pointed at them as well - hence the reason why most people around SEOmoz will recommend content-based linkbuilding strategies.
Try poking around SEOmoz's Open Site Explorer and checking out a few different websites. Analyze the nature of their link profile, where the links are headed, what their top content is, the anchor text they've been using, and how different webpages and websites compare in terms of link metrics like domain authority and trust. See if you can deconstruct how these websites built or earned their most valuable links.