Topological hysteresis in stripe domain structures

Undulation instability in stripe domain structures of « bubble » material

“…The observations of reference [1] are summarized in figure 2. The sample is subjected to a magnetic cycle 0 -+ Ha,, --+ 0 of maximum magnetic field Hmax.…”

“…In the samples studied in reference [1] [11]. Equation (9) shows that the period d scales as D 1/3 and is independent of the applied magnetic field when h is small enough so that the single mode approximation (5) (11), which consists in developing m (x) under the form m ( x ) = ms II {x -u (x. y ) ) where 77 ( x ) can be any periodic function such as the groove profile assumed in equation (1).…”

“…Equation (9) shows that the period d scales as D 1/3 and is independent of the applied magnetic field when h is small enough so that the single mode approximation (5) (11), which consists in developing m (x) under the form m ( x ) = ms II {x -u (x. y ) ) where 77 ( x ) can be any periodic function such as the groove profile assumed in equation (1). From this phase approximation, one can obtain quite generally a Hamiltonian in terms of increasing powers of spatial derivatives of the layer displacement u and recover the smectic free energy (17) from the lowest orders.…”

“…In this work, we propose an explanation of these observations [1], based on a smectic analogy [4]. The main message of this paper is that many of the experimental observations made on magnetic stripe domain structures can be rationalized by local energy considerations.…”

“…A topological hysteresis in stripe domain structures of bubble materials has recently been observed [1] by applying magnetic field cycles. The sample was a single crystal layer of formula grown on a Gadolinium Gallium Garnet substrate along the (111) direction (The typical dimension of the plate is.…”