The effects of next nearest-neighbor exchange interaction on the magnetic properties in the one-dimensional Ising system

• Magnetic properties of the one-dimensional Ising system (1DIS) were studied by EFT.
• Effect of next nearest-neighbor exchange interaction (J2) in the 1DIS was studied.
• Magnetic properties of FM and AFM 1DIS strongly depend on the J2.
• AFM 1DIS has two hysteresis loops similar to the glasses for the small J2.
• If J2=0, 1DIS has a phase transition but its susceptibility can׳t be calculated.

In this work, we investigate the effects of next nearest-neighbor exchange interaction (J2) on the magnetic properties in the one-dimensional Ising system (1DIS) by using Kaneyoshi approach within the effective field theory for both ferromagnetic and antiferromagnetic case. It is found that the magnetic properties strongly depend on the J2 in the 1DIS. The critical temperature of the 1DIS decreases as the J2 decreases and it has almost a stable value (Tc=0.571) when the J2 approaches to zero (but not zero). The coercive field point, remanence magnetization and the area of the hysteresis loop of the 1DIS decrease and the hysteresis curves of the 1DIS exhibit paramagnetic behaviors as the J2 decreases. The susceptibility of the 1DIS has a distinct peak at Tc. The magnetizations of the 1DIS are m1=m2=MT=1 in the ferromagnetic case, but they are m1=−1, m2=1 and MT=0 in the antiferromagnetic case at T=0. Moreover, the hysteresis curves of the m1 and m2 of the AFM 1DIS exhibit elliptical hysteresis behaviors with two distinct loops similar to the glasses for small next nearest-neighbor exchange interaction values (J2=0.0001, 0.001 and 0.01) and they have two different coercive field points far away from H=0.000.

The figure shows the effects of next nearest-neighbor on the critical temperature of the 1DIS.Figure optionsDownload as PowerPoint slide