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.

References in corpus (14)

• Bose-Einstein Condensation in Magnetic Insulators
• Dimensional reduction at a quantum critical point
• Controlling Luttinger liquid physics in spin ladders under a magnetic field
• Field Induced Supersolid Phase in Spin-One Heisenberg Models
• Effective Theory of Magnetization Plateaux in the Shastry-Sutherland Lattice
• Multiple Magnon Modes and Consequences for the Bose-Einstein Condensed Phase in BaCuSi2O6
• Quantum and thermal transitions out of the supersolid phase of a 2D quantum antiferromagnet
• Supersolid phase in spin dimer XXZ systems under magnetic field
• Geometric Frustration and Dimensional Reduction at a Quantum Critical Point
• Emergent Symmetry and Dimensional Reduction at a Quantum Critical Point
• NMR evidence for a strong modulation of the Bose-Einstein Condensate in BaCuSi${}_2$O${}_6$
• Quantum phase transitions and dimensional reduction in antiferromagnets with inter-layer frustration
• Ising phases of Heisenberg ladders in a magnetic field
• Reduced dimensionality in layered quantum dimer magnets: Frustration vs. inhomogeneous condensates

Cited by in corpus (12)

• Low-Temperature Heat Transport in the Low-Dimensional Quantum Magnet NiCl_{2}-4SC(NH_{2})_{2}
• Nuclear Magnetic Resonance in High Magnetic Field: Application to Condensed Matter Physics
• Phase separation versus supersolid behavior in frustrated antiferromagnets
• Ab initio modeling of Bose-Einstein condensation in Pb2V3O9
• Revealing three-dimensional quantum criticality by Sr-substitution in Han Purple
• Thermal conductivity of IPA-CuCl_3: Evidences of ballistic magnon transport and limited applicability of the Bose-Einstein condensation model
• Two types of adjacent dimer layers in the low temperature phase of BaCuSi2O6
• Sliding phase in randomly stacked 2D superfluids/superconductors
• Field-induced Bose-Einstein condensation and supersolid in the two-dimensional Kondo necklace
• 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
• Theory of rare-earth Kramers magnets on a Shastry-Sutherland lattice: dimer phases in presence of strong spin-orbit coupling