Critical Exponents for Three-Dimensional Superfluid--Bose-Glass Phase Transition

Details Critical Exponents for Three-Dimensional Superfluid--Bose-Glass Phase Transition Critical Exponents for Three-Dimensional Superfluid--Bose-Glass Phase Transition

1993-04-08

arxiv.org/abs/cond-mat/9304017v1

Physics

Condensed Matter

11 pages, REVTEX

Scientific paper

10.1103/PhysRevB.47.11518

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 $\nu$ 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 $\nu$ is shown to be insensitive to z as that in the two-dimensional case, and has value roughly equal to 1.

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