The effects of random field at surface on the magnetic properties in the Ising nanotube and nanowire

• The phase diagrams and magnetizations of the two Ising nanosystems (nanotube and nanowire) with the random field at the surface are examined by the use of the effective-field theory with correlations.
• We have found some unexpected behaviors and novel phenomena for them, namely the reentrant phenomena with the second-order phase transition in the nanowire and the unconventional thermal variations of magnetizations in the nanotube.

The phase diagrams and temperature dependences of total magnetization mT in two nanosystems (nanotube and nanowire) with a random magnetic field at the surface shell are studied by the uses of the effective-field theory with correlations. Some characteristic phenomena (reentrant phenomena and unconventional thermal variation of total magnetization) are found in the two systems. They are rather different between the two systems, which mainly come from the structural differences of the cores