In condensed matter physics, spin glass is a magnetic state characterized by randomness. In this state, the cooling process of the spin freezes at a specific temperature, which is called the "freezing temperature" (Tf). In contrast, the atomic spins in ferromagnetic solids are arranged neatly in the same direction, while spin glasses randomly arrange the spins in different directions, forming a "disordered" magnetic state.
The magnetic behavior of spin glass is not only due to the randomness of each spin, but also due to the combination of a considerable number of ferromagnetic links and antiferromagnetic links in the interaction between them, resulting in a The so-called "frustration interaction."
When understanding spin glass, it is necessary to understand its analogy with ordinary glass. In ordinary glass, the arrangement of atoms is quite disordered, and this disorder is similar to the magnetic disorder in spin glass. Therefore, the name spin glass fully expresses the complexity of its internal structure.
The core property of spin glass is its time dependence. When the sample is above the spin glass transition temperature (Tc), it exhibits typical magnetic behavior, such as paramagnetism. When an external magnetic field is applied during cooling, the magnetization of the sample gradually increases, but once Tc is reached, the characteristics of spin glass begin to appear, and the magnetization remains almost unchanged with further cooling. This is called "field cooling magnetization".
Interestingly, after the external magnetic field is removed, the magnetization of spin glass will quickly drop to a lower value called residual magnetization. However, the attenuation method of this process is different from that of traditional magnetic materials, showing an unusual behavior. Exponential characteristics.
Unlike ferromagnetic materials, the magnetization of ferromagnetic materials will continue to maintain its residual value when the external magnetic field is removed. However, due to its complex internal structure, the magnetization of spin glass slowly decays over time. In addition, if the sample is cooled to Tc without an external magnetic field, and then a magnetic field is applied, a phenomenon that is difficult to explain in measurement will occur: the magnetization values of the two will show similar functional forms in time.
To better understand the behavior of spin glass, physicists have proposed various mathematical models. One of the most important models is the Edwards-Anderson Model, which is based on the assumption that spins are randomly arranged on a lattice. This model reveals that spin glass will form a glass-like phase transition at low temperatures, which has unique properties.
In 1975, Sherrington and Kirkpatrick proposed another spin glass model called the Sherrington-Kirkpatrick model, which further explored spin systems with long-range interactions and became an important tool for understanding spin glasses.
These models not only provide a theoretical framework but also facilitate experimental research. Through the development of these theories, scientists were able to gain a deeper understanding of the complexity of spin glass states, leading to many important discoveries, especially with applications in related fields such as physics, chemistry and materials science.
Many experiments have shown that the magnetic behavior of spin glasses is persistent and unsteady. Measurements from these experiments often show long-time scale changes, creating challenges and mysteries for practical applications of spin glasses.
The behavior of spin glass has scientists exploring how its unique magnetism could be exploited in practical applications, such as potential applications in artificial neural networks and computer science.
These characteristics not only challenge our understanding of traditional magnetic materials, but also inspire future research directions. In the development of materials design and new technologies, the behavior of spinning glass may bring different inspirations and solutions.
But what unsolved mysteries are hidden in the magnetic behavior of spin glass?