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We investigate ice polyamorphism in the context of the two-dimensional Mercedes-Benz model of water. We find a first-order phase transition between a crystalline phase and a high-density amorphous phase. Furthermore we find a reversible transformation between two amorphous structures of high and low density; however we find this to be a continuous and not an abrupt transition, as the low-density amorphous phase does not show structural stability. We discuss the origin of this behavior and its implications with regard to the minimal generic modeling of polyamorphism.
Liquid polyamorphism is the intriguing possibility for a single component substance to exist in multiple liquid phases. We propose a minimal model for this phenomenon. Starting with a classical binary lattice model with critical azeotropy and liquid-
Artificial spin ice offers the possibility to investigate a variety of dipolar orderings, spin frustrations and ground states. However, the most fascinating aspect is the realization that magnetic charge order can be established without spin order. W
We present a unified understanding for experimentally observed minimal dc conductivity at the Dirac point in weak disordered graphene. First of all, based on the linear response theory, we unravel that randomness or disorder, inevitably inducing mome
Dielectric spectra (10^4-10^11 Hz) of water and ice at 0 {deg}C are considered in terms of proton conductivity and compared to each other. In this picture, the Debye relaxations, centered at 1/{tau}_W ~ 20 GHz (in water) and 1/{tau}_I ~ 5 kHz (in ice
Designing and constructing model systems that embody the statistical mechanics of frustration is now possible using nanotechnology. We have arranged nanomagnets on a two-dimensional square lattice to form an artificial spin ice, and studied its fract