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We report here numerical results of the low-temperature behavior of a dipolarspin ice in a magnetic field along the [100] direction. Tuning the magneticfield, the system exhibit a half-magnetization plateau at low temperature. Thishalf-polarized phase should correspond to a quantum solid phase in an effective2D quantum boson model, and the transition from the Coulomb phase with apower-law correlation to this state can be regarded as a superfluid to aquantum solid transition. We discuss possible experimental signatures of thishalf-polarized state.

Half-Magnetization Plateau of a Dipolar Spin Ice in a [100] Field