In magnetic shape memory (MSM) Heusler alloys as Ni₂MnGa strains of up to 10% can be induced by external magnetic fields, making the material a technologically relevant candidate
for magneto-mechanical actuators. Magnetic field induced strains are either produced
by the field-induced motion of martensitic twin boundaries (as in Ni₂MnGa) by shifting the martensitic transformation temperture in a magnetic field (as in Ni₂MnIn).
We present calculations of magentic field-dependent properties of MSM Heusler alloys by means of density functional theory calculations. The effects of a an external magnetic field on structural properties are simulated by fixing the magnetic moments within the framework of the fixed spin moment (FSM) method. We investigate the phase stability of MSM Heusler materials by investigating phonon dispersions at different magnetizations and relate this
to nesting features of the respective Fermi surfaces.

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