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Models of Disorder: The Theoretical Physics of Homogeneously Disordered Systems

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Sadly, Ziman never got around to updating this book. But it still stands as a good general discussion of various types of disorder in condensed matter. The preparation is at the level of 2 or 3 years of undergrad courses in physics and maths. Where this includes you having taken non-relativistic quantum mechanics and some solid state classes.

The treatment does invoke some advanced ideas, like the renormalisation group.

The topics are broad. Including models of ferroelectricity and ferromagnetism, and critical phenomena.

It turns out that one chapter does bring in techniques from quantum electrodynamics. Principally the idea of a propagator, as first proposed by Dyson. Here, the expansion of a Dyson equation yields a geometric power series familiar to those versed in QED.