Critical exponents for the three-dimensional superfluid–Bose-glass phase transition

Abstract
The critical phenomenon of the zero-temperature superfluid–Bose-glass phase transition for hard-core bosons on a three-dimensional disordered lattice is studied using a quantum real-space renormalization-group method. The correlation-length exponent ν and the dynamic exponent z are computed. The critical exponent z is found to be 2.5 for compressible states and 1.3 for incompressible states. The exponent ν is shown to be insensitive to z as that in the two-dimensional case, and has a value roughly equal to 1.
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