Phase transitions in a domain wall

Abstract
The energy of a one-dimensional domain wall (Bloch or Neel) at low and high temperatures is calculated approximately for the application of an external magnetic field along the hard direction. Following Aharoni (1966), Bulaevskii and Ginzburg (1964), the wall is found to vanish at a critical field value h=hc, the wall energy varying as (hc-h)32/. At high temperatures, in an applied magnetic field h which tends to zero, the magnetisation profile of the wall is calculated as a function of T-T* (where T*c is the temperature for the transition to a linear wall). The susceptibility is shown numerically to diverge as (T-T*)-1. This agrees with Lajzerowicz and Niez (1976) who argue that the linear transition should be of a second order.

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