Sociolinguistics, Psycholinguistics, Neurolinguistics
Linguistics has always been an interdisciplinary field, studying the social phenomenon of language but grounded in the natural science of phonetics. These three related disciplines under the broad linguistic umbrella have contributed some of the most important breakthroughs in our understanding of what language is, where it came from, and how it works. Psycho- and neurolinguistics have also called into question the Chomskyan linguistic model that has dominated the field for 30 years. Note that much of the material in these links is highly specialized and can be difficult. For an excellent and readable neurolinguistic approach to language, see Terrence Deacon's The Symbolic Species: The Co-Evolution of Language and the Brain (in the Introductory Bibliography).
William Labov Home Page - Labov is a pioneer sociolinguist and remains a leader in the field.
Neurolinguistics and Psycholinguistics
Janet L. Nicol; Language Processing, Neurolinguistics, Language Acquisition