Language, Context and Text – a new semiotics journal.
The journal encourages the presentation and critique of new theoretical proposals through careful scholarly analysis, testing of the implications of proposals and presentation of alternative viewpoints broadly within the SFL framework.
The link to a sample issue is given here
Does language shape cultures or is it the other way round?
What is discourse analysis? Why do we conduct discourse analysis? An useful link for you to learn the fundamental of Discourse Analysis.
Critical discourse analysis or CDA is a study on how language makes meaning socially and politically. It was found by Norman Fairclough. To know more go to the link given below.