The present invention discloses an enhanced synthetic antiferromagnetic (eSAF) element with a very strong RKKY coupling comprising a magnetic pinning layer having a face-center-cubic (fcc) crystalline structure and a magnetic reference layer having a body-center-cubic (bcc) crystalline structure which are antiferromagnetically coupled by a composite non-magnetic spacer (CnmS) containing a bi-layer of (Ru, Rh or Ir)/Cr or tri-layer of (Ru, Rh, or Ir)/(W, Mo, or V)/Cr. With such eSAF, a strong magnetic pinning element is formed which can be used to make various thin STT-MRAM film stacks with good thermal and magnetic stability while maintaining high TMR value.