Spin-Glass Behaviour in Ordered Solids

Sammanfattning: The spin-glass is a peculiar magnetic phase, exhibiting non-trivial dynamics at low temperatures, characterized by an continuously evolving state without long-range order. The behavior requires some degree of disorder to occur, often in the way of impurities or random exchange energy between the spins. However, recent research have found structurally ordered systems exhibiting glassy behaviour. This project aims to further investigate these self-induced spin-glasses. The report provides a short introduction to atomistic spin-dynamics and applies the theory to study self-induced spin-glasses in hexagonal systems with the help of simulations. A variation approach was applied by running simulation using a range of spin-exchange couplings in the Heisenberg Hamiltonian. These systems were then studied by the means of their autocorrelation function and compared to known glassy systems from the Edwards-Andersson model. The resulting behaviour is presented for three different hexagonal structures and glassy behaviour is indicated in stacked hexagonal systems. It is however argued that the autocorrelation function is not sufficient to classify these systems, instead further observables are needed. Nevertheless, the method of studying self-induced spin-glasses by varying couplings in the Heisenberg Hamiltonian is promising. As even with the few spin interactions used in this report we observe the slow relaxation time associated with spin-glasses. Given some extra considerations when choosing the exchange used for the simulation, a self-induced glassy state should be able to be recreated using the method described in this report.