V. ThakorB. StauntonJ. PoulterS. OstaninB. GinatempoEzio BrunoThe University of WarwickMahidol UniversityUniversita degli Studi di Messina2018-07-242018-07-242003-01-01Physical Review B - Condensed Matter and Materials Physics. Vol.68, No.13 (2003)1550235X109801212-s2.0-0344872565https://repository.li.mahidol.ac.th/handle/20.500.14594/20962We describe a first-principles theoretical formalism for the magnetic response of paramagnetic metals in which all relativistic effects such as spin-orbit coupling are included. In particular, the easy axis and dependence upon wave vector q of the paramagnetic spin susceptibility χ(q) can be calculated. To illustrate we apply the method to two transition metals, yttrium and scandium. In each case we find χ(q) to peak at a wave vector q=(0,0,0.57)π/c, coincident with a Fermi surface nesting vector, and to have an easy axis perpendicular to q. Since χ(q) plays a key role in determining the interaction between magnetic impurities in these metals, these results are consistent with the helical antiferromagnetic order found in many dilute rare-earth Y alloys. Conversely, the easy axis for the response to a uniform magnetic field, q=0, lies along the c axis. © 2003 The American Physical Society.Mahidol UniversityMaterials SciencePhysics and AstronomyArticleSCOPUS10.1103/PhysRevB.68.134412