Thermodynamics of a Quantum Ising system coupled to a spin bath.
We study the effect of coupling a spin bath environment to a system which, at low energies, can be modeled as a quantum Ising system. Results are derived for the thermodynamic properties and response functions, both for a toy model and for the $LiHoF_4$ system, in which spin-8 electronic spins couple to a spin-7/2 nuclear spin bath: the phase transition then occurs in a system of electronuclear degrees of freedom, coupled by long-range dipolar interactions. The quantum Ising phase transition still exists, and one hybridized mode of the Ising and bath spins always goes soft at the transition.
Publisher URL: http://arxiv.org/abs/1711.05438
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