Abstract. Neutron scattering is a powerful probe of strongly correlated systems. It can directly detect common phenomena such as magnetic order, and can be used to determine the coupling between magnetic moments through measurements of the spin-wave dispersions. In the absence of magnetic order, one can detect diffuse scattering and dynamic correlations. Neutrons are also sensitive to the arrangement of atoms in a solid (crystal structure) and lattice dynamics (phonons). In this chapter, we provide an introduction to neutrons and neutron sources. The neutron scattering cross section is described and formulas are given for nuclear diffraction, phonon scattering, magnetic diffraction, and magnon scattering. As an experimental example, we describe measurements of antiferromagnetic order, spin dynamics, and their evolution in the La2−xBaxCuO4 family of high-temperature superconductors.
IntroductionA common symptom of correlated-electron systems is magnetism, and neutron scattering is the premiere technique for measuring magnetic correlations in solids. With a spin angular momentum of 1 2h , the neutron interacts directly with the magnetization density of the solid. Elastic scattering can directly reveal static magnetic order; for example, neutron diffraction provided the first experimental evidence for Néel antiferromagnetism [1]. Through inelastic scattering one can probe dynamic spin-spin correlations; in an ordered antiferromagnet, one can measure the precession of the spins about their average orientations, which show up as dispersing spin waves.Neutrons do not couple to the charge of the electrons, but instead scatter from atomic nuclei via the strong force. Despite the name, the small size of the nucleus compared to the electronic charge cloud of the atom results in a rather weak scattering cross section. The magnetic and nuclear scattering cross sections are comparable, so that neutron scattering is very sensitive to magnetism, in a relative sense.arXiv:1304.4214v1 [cond-mat.str-el]