Ising nanowire with random field at surface; its unconventional effects

•The phase diagrams and magnetizations of Ising nanowire with random field at the surface are examined by the use of the EFT.•We have found many unconventional behaviors and novel phenomena for them.•The phase transition is the second-order.

The phase diagrams and temperature dependences of total magnetization mT in an Ising nanowire with a random magnetic field at the surface are studied by the uses of the effective-field theory with correlations. Many unconventional and novel phenomena have been obtained in them, although one section of the system is consisted of one spin-1/2 surface shell atom and one spin-1/2 core atom and they are coupled with a positive or a negative shell-core exchange interaction.