The first-order structural phase transition in Nb3Cl8 is entropy-driven, with the alpha phase stabilized by softer phonons and larger paramagnetic spin entropy while the beta phase is favored by interlayer dimerization that hardens phonons and quenches spin entropy via singlets.
On the exponential solution of differential equations for a linear operator.Communications on Pure and Applied Mathematics, 7(4):649–673, 1954
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Entropy-Driven Structural Phase Transition in Nb$_3$Cl$_8$ via Density Functional Theory and an Effective Model
The first-order structural phase transition in Nb3Cl8 is entropy-driven, with the alpha phase stabilized by softer phonons and larger paramagnetic spin entropy while the beta phase is favored by interlayer dimerization that hardens phonons and quenches spin entropy via singlets.