Theory of the field-induced BEC in the frustrated spin-1/2 dimer compound BaCuSi2O6

Abstract

Building on recent neutron and NMR experiments, we investigate the field-induced exotic criticality observed in the frustrated spin-1/2 dimer compound BaCuSi2O6 using a frustrated model with two types of bilayers. A semiclassical treatment of the effective hard-core boson model shows that perfect inter-layer frustration leads to a 2D-like critical exponent phi=1 without logarithmic corrections and to a 3D low temperature phase with different but non vanishing triplet populations in both types of bilayers. These results further suggest a simple phenomenology in terms of a field-dependent transverse coupling in the context of which we reproduce the entire field-temperature phase diagram with Quantum Monte Carlo simulations.

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• Stabilization of the tetragonal structure in (Ba${}_{1-x}$Sr${}_x$)CuSi${}_2$O${}_6$
• Field-induced Bose-Einstein condensation and supersolid in the two-dimensional Kondo necklace
• Finite-Temperature Transition in the Spin-Dimer Antiferromagnet BaCuSi2O6
• Crystal growth with oxygen partial pressure of the $BaCuS{i}_2{O}_6$ and $B{a}_{1-x}S{r}_{x}CuS{i}_2{O}_6$ spin dimer compounds
• Low-temperature heat transport of spin-gapped quantum magnets
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