EXCHANGE COUPLING BETWEEN TWO MAGNETIZED LAYERS IN A METAL
Wang Shao-feng (王少峰)a, Wang Zhong-cheng (汪仲诚)b, Zou Shi-chang (邹世昌)b
a Center of Physics and Mathematics, Xi'an Jiaotong University, Xi'an 710049,China; b State Key Laboratory of Functional Materials for Informatics, Shanghai Institute of Metallurgy, Academia Sinica, Shanghai 200050, China
Abstract The exchange coupling energy for two magnetized monolayers embedded symmetrically in a metal and polarized in an arbitrary direction has been investigated in contact interaction approximation. Since the model can be solved exactly in particular for free-electron case, the coupling energy contributed from both extended state electrons and bound state electrons is calculated rigorously. For weak interaction, it is found that the leading term in the power-series expansion of density of states can give a correct coupling energy compared with rigorous one while extended state electrons give a much larger coupling energy. Furthermore, the relevant problems such as phase shift, 90°coupling and lattice effects have been discussed; an asymptotic expression of the interlayer coupling has been derived in a different way and used to calculate the exchange energy between magnetic layers in copper with Fermi surface obtained from de Haas-van Alphen effect.
Received: 26 August 1997
Revised: 29 December 1997
Accepted manuscript online:
PACS:
75.70.Ak
(Magnetic properties of monolayers and thin films)
Wang Shao-feng (王少峰), Wang Zhong-cheng (汪仲诚), Zou Shi-chang (邹世昌) EXCHANGE COUPLING BETWEEN TWO MAGNETIZED LAYERS IN A METAL 1998 Acta Physica Sinica (Overseas Edition) 7 529
Altmetric calculates a score based on the online attention an article receives. Each coloured thread in the circle represents a different type of online attention. The number in the centre is the Altmetric score. Social media and mainstream news media are the main sources that calculate the score. Reference managers such as Mendeley are also tracked but do not contribute to the score. Older articles often score higher because they have had more time to get noticed. To account for this, Altmetric has included the context data for other articles of a similar age.