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Published in Sarhan M. Musa, ®, 2018
Shin-Liang Chin, Flack Timothy
The Zeeman energy arises from an externally applied magnetic field. In the presence of such a magnetic field, the magnetic moments will align themselves such that they are parallel to it. The Zeeman energy is thus given by () EZEEMAN=−μ∫VM˜⋅H˜AdV,
Nanomagnetic Materials
Published in Ram K. Gupta, Sanjay R. Mishra, Tuan Anh Nguyen, Fundamentals of Low Dimensional Magnets, 2023
P. Maneesha, Suresh Chandra Baral, E. G. Rini, Somaditya Sen
Energy related to magnetic moments as found in an external magnetic field is the Zeeman energy. Its density is EZ = µ0M.H, where EZ tends to favor the magnetization to align along the applied field. According to our prior discussion, this term should not be considered as an internal energy contributor but rather as an inducer of magnetic enthalpy in a system.
Instability of magnetosonic waves in magnetized degenerate half-spin-polarized quantum plasma
Published in Waves in Random and Complex Media, 2023
W. F. El-Taibany, P. K. Karmakar, A. A. Beshara, M. A. El-Borie, S. A. Gwaily, A. Atteya
The effect of changing the plasma beta that measures the quantum statistical effects and Zeeman energy, ε on the phase speed for different values of the spin polarization ratio κ is depicted in Figure 1. We notice that the phase speed enhances with the increase of κ and β for small values of Zeeman energy, while the situation is reversed for large value of ε, where it shrinks with the increase of β. The physics behind this is that spin-down electron density is rarefied when spin-up electrons accumulate. This leads to increasing the restoring force and consequently increasing the phase speed. The Zeeman energy increases as the magnetic field increases leading to a decrease in the phase speed as a result of electron confinement in the magnetic field. Small values of the magnetic field lead to less electron confinement and larger phase speed associated with larger β. While the term effect is dominant at a larger magnetic field (larger Zeeman energy) which results in larger confinement and small phase speed as β increases.
Spin–lattice relaxation phenomena in the magnetic state of a suggested Weyl semimetal CeAlGe
Published in Philosophical Magazine, 2020
The presence of Zeeman energy splits the bands into spin-up and spin-down states in the presence of spin–orbit coupling. As a result, these states are further interacted by the Rashba–Dresselhaus effect and lead to the breaking of time-reversal symmetry [27]. The Rashba effect arises due to structural inversion symmetry breaking and splits the spin sub-bands, while the Dresselhaus effect arises due to an additional symmetry breaking, resulting in strain-induced Dresselhaus spin–orbit interaction. Thus, both Rashba and Dresselhaus effect adds an additional interaction in spin–orbit coupling. An inequality between Rashba and Dresselhaus spin–orbit interaction leads to a non-equilibrium condition in the magnetic state [25]. As a result, exchange energy associated with the conduction electrons behaves like a torque [35]. This torque acting on magnetic moments results in a spin–lattice relaxation behaviour in the magnetic state of this compound.