On two phases inside the Bose condensation dome of Yb${}_2$Si${}_2$O${}_7$

Abstract

Recent experimental data on Bose-Einstein Condensation (BEC) of magnons in the spin-gap compound Yb${}_2$Si${}_2$O${}_7$ revealed an asymmetric BEC dome arXiv:1810.13096v2. We examine modifications to the Heisenberg model on a breathing honeycomb lattice, showing that this physics can be explained by competing forms of weak anisotropy. We employ a gamut of analytical and numerical techniques to show that the anisotropy yields a field driven phase transition from a state with broken Ising symmetry to a phase which breaks no symmetries and crosses over to the polarized limit.

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• Magnetic Properties of the Ising-like Rare Earth Pyrosilicate: D-Er${}_2$Si${}_2$O${}_7$
• Build your own tensor network library: DMRjulia I. Basic library for the density matrix renormalization group