Effect of impurities on supersolid condensate: a Ginzburg-Landau approach

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Basing our arguments on a wave function that contains both positional and superfluid order, we propose a Ginzburg-Landau functional for a supersolid with the two order parameters necessary to describe such a phase: density n_B(r) and supersolid order parameter ψ_V. We argue that adding lighter $^3$He atoms to a 4He supersolid produces attractive regions for vacancies, leading to patches of higher T_c. On the other hand, the supersolid stiffness decreases in this granular state with increased 3He disorder. Both effects are linear in 3He concentration.
4 pages latex file, 2 eps figure files

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