twomagnon

Twomagnon is a term used in condensed matter physics to refer to processes or excitations that involve two magnons, the quantized spin-wave excitations of ordered magnetic moments in a lattice. In an ordered magnet, a single magnon corresponds to a collective precession of spins; a twomagnon excitation involves interactions between two such spin waves or the simultaneous creation (or annihilation) of two magnons. The twomagnon spectral feature is commonly observed in spectroscopic studies and lies at higher energies than single-magnon modes.

In experimental practice, twomagnon phenomena appear prominently in inelastic light scattering, such as Raman spectroscopy, on antiferromagnetic insulators. They also contribute to the high-energy part of the dynamic structure factor measured by inelastic neutron scattering, though they are typically weaker than single-magnon signals. The energy scale of twomagnon excitations is set by the magnetic exchange constant J and is generally on the order of 2J to 3J, with exact values depending on lattice geometry, dimensionality, and anisotropy.

Theoretically, twomagnon processes require going beyond simple linear spin-wave theory. They are treated using higher-order spin-wave expansions, magnon-magnon interactions, or numerical methods such as exact diagonalization and quantum Monte Carlo. In one dimension, related phenomena are described by two-spinon continua rather than magnons; in two dimensions, twomagnon spectra reveal insights into quantum fluctuations and magnon interactions.

Twomagnon studies provide information on exchange parameters, anisotropies, and many-body effects in quantum magnets, and they have relevance for understanding the magnetic properties of parent compounds of high-temperature superconductors and other correlated electron systems.