“…The giant magneto-resistance (GMR) effect discovered in 1988 is of importance in academic and technological areas and extensively investigated (Baibich et al , 1988; Binasch et al , 1989; Han et al , 2007; Chen et al , 2012). The spin-valve structure, invented by Dieny et al (1991), is a most widely used GMR material especially in recording read-heads and magnetic sensors because of its high sensitivity and linearity (Kanai et al , 2001; Qian et al , 2004, 2003a, 2003b; Bai et al , 2013; Nakatani et al , 2018). Presently, the spin-valve sensor has been applied as an important component in electronic-compass, current sensor, magnetic isolator, etc (Ueberschär et al , 2015; Ripka, 2010; Kondalkar et al , 2017; Lin et al , 2018; Qian et al , 2011).…”