Abstract

The copper salt S=1/2 TlCuCl 3 is a three-dimensional quantum spin system with a singlet ground-state of dimer origin. A spin energy gap Δ≈0.7 meV separates the ground-state from the triplet waves, which propagate along all directions in reciprocal space. Across the quantum critical point at H c= Δ/ gμ B Bose–Einstein condensation of the triplet quasi-particles has been observed. The inelastic neutron scattering spectra at H> H c proof the coexistence of a gapless Goldstone mode, which has a linear dispersion, with renormalized quadratic Zeeman modes.

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