Effective Field Theory Approach to Ferromagnets and Antiferromagnets in Crystaline Solids

Details Effective Field Theory Approach to Ferromagnets and Antiferromagnets in Crystaline Solids Effective Field Theory Approach to Ferromagnets and Antiferromagnets in Crystaline Solids

1997-09-26

arxiv.org/abs/cond-mat/9709298v3

Int. J. Mod. Phys. B 13 (1999) 755

Physics

Condensed Matter

Latex file, 37p . Published version

Scientific paper

10.1142/S0217979299000655

We present a systematic construction of effective lagrangians for the low energy and momentum region of ferromagnetic and antiferromagnetic spin waves in crystalline solids. We fully exploit the spontaneous symmetry breaking pattern $SU(2)\to U(1)$, the fact that spin waves are its associated Goldstone modes, the crystallographic space group and time reversal symmetries. We show how to include explicit SU(2) breaking terms due to spin-orbit and magnetic dipole interactions. The coupling to electromagnetic fields is also discussed in detail. For definiteness we work with the space group $R\bar 3 c$ and present our results to next to leading order.

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