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

Journal Article · Sat May 01 04:00:00 EDT 1993 · Physical Review, B: Condensed Matter; (United States)

DOI:https://doi.org/10.1103/PhysRevB.47.11518· OSTI ID:6641815

Zhang, L ^[1]; Wang, X ^[2]

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1. Department of Physics and Astronomy, The University of Tennessee, Knoxville, Tennessee 37996-1200 (United States) Solid State Division, Oak Ridge National Laboratory, Oak Ridge, Tennessee 37831 (United States)
2. Center for Theoretical Studies of Physical Systems, Clark Atlanta University, Atlanta, Georgia 30314 (United States)

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 [ital z] are computed. The critical exponent [ital 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 [ital z] as that in the two-dimensional case, and has a value roughly equal to 1.

• DOE Contract Number: AC05-84OR21400
• OSTI ID: 6641815
• Journal Information: Physical Review, B: Condensed Matter; (United States), Journal Name: Physical Review, B: Condensed Matter; (United States) Vol. 47:17; ISSN PRBMDO; ISSN 0163-1829
• Country of Publication: United States
• Language: English

Related Subjects

665420* -- Superfluidity-- (1992-)
75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
BOSE-EINSTEIN GAS
CRYSTAL LATTICES
CRYSTAL STRUCTURE
GLASS
HARD-CORE POTENTIAL
NUCLEAR POTENTIAL
PHASE TRANSFORMATIONS
POTENTIALS
RANDOMNESS
SUPERFLUIDITY
THREE-DIMENSIONAL CALCULATIONS