Magnetic proximity effect and interlayer exchange coupling of ferromagnetic/topological insulator/ferromagnetic trilayer

Mingda Li,1,2,* Wenping Cui,3 Jin Yu,1,4 Zuyang Dai,5 Zhe Wang,1 Ferhat Katmis,2,6 Wanlin Guo,4 and Jagadeesh Moodera2,6,† 1Department of Nuclear Science and Engineering, Massachusetts Institute of Technology, 77 Massachusetts Avenue, Cambridge, Massachusetts 02139, USA 2Fracsis Bitter Magnetic Lab, Massachusetts Institute of Technology, 77 Massachusetts Avenue, Cambridge, Massachusetts 02139, USA 3Institut für Theoretische Physik, Universität zu Köln, Zülpicher Strasse 77, D-50937 Köln, Germany 4State Key Laboratory of Mechanics and Control of Mechanical Structures, Nanjing University of Aeronautics & Astronautics, Nanjing 210016, China 5Department of Physics, Tsinghua University, Beijing 100084, China 6Department of Physics, Massachusetts Institute of Technology, 77 Massachusetts Avenue, Cambridge, Massachusetts 02139, USA (Received 30 July 2014; revised manuscript received 7 January 2015; published 23 January 2015)