Separator for rechargeable lithium battery and rechargeable lithium battery including the same

A separator for a rechargeable lithium battery, the separator comprising:

• a porous substrate;
• and
• a coating layer located on at least one surface of the porous substrate,
• wherein the coating layer includes a cross-linked product of a binder and a cross-linking agent, a filler, and an adhesive binder,
• the binder includes a (meth)acryl-based binder including a first structural unit derived from (meth)acrylamide, and a second structural unit including at least one of a structural unit derived from (meth)acrylic acid or (meth)acrylate and a structural unit derived from (meth)acrylamido sulfonic acid or a salt thereof,
• the cross-linking agent includes an aziridine-based cross-linking agent,
• the filler has a particle diameter D100 of about 1.0 μm or less, and
• the adhesive binder includes a first structural unit derived from a vinyl aromatic-based monomer, a second structural unit derived from an alkyl (meth)acrylate, and a third structural unit derived from a phosphonate-based monomer.