Real-space renormalization-group study of hard-core dirty bosons

Journal Article · Sun Mar 01 04:00:00 EST 1992 · Physical Review, B: Condensed Matter; (United States)

DOI:https://doi.org/10.1103/PhysRevB.45.4855· OSTI ID:7276172

Zhang, L ^[1]; Ma, M ^[2]

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1. Department of Physics, State University of New York at Stony Brook, Stony Brook, New York 11794 (United States)
2. Department of Physics, University of Cincinnati, Cincinnati, Ohio 45221 (United States)

We investigate the critical phenomena of hard-core bosons in a disordered medium. Such a system is mapped onto a quantum spin-1/2 {ital XY} model with transverse random field. The system then is studied through a quantum real-space renormalization-group method. We find that randomness is always relevant in a one-dimensional (1D) system, in agreement with exact results. In two and three dimensions, there is a critical amount of disorder, below which the superfluid phase is stable. In 2D, the dynamic exponent {ital z}=1.7 for compressible states, and is close to the value of {ital z}={ital d} as predicted by Fisher {ital et} {ital al}. $z--- is smaller for incompressible states. The correlation length exponent {nu} is insensitive to {ital z}, and roughly equals 1.4. Unlike the superfluid--Mott-insulator transition without disorder, which has two distinct universality classes, we find there is only one universality class for the superfluid--Bose-glass transition.

• OSTI ID: 7276172
• Journal Information: Physical Review, B: Condensed Matter; (United States), Journal Name: Physical Review, B: Condensed Matter; (United States) Vol. 45:9; ISSN PRBMD; ISSN 0163-1829
• Country of Publication: United States
• Language: English

Related Subjects

665411 -- Basic Superconductivity Studies-- (1992-)
665420* -- Superfluidity-- (1992-)
75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
BOSONS
HARD-CORE POTENTIAL
NUCLEAR POTENTIAL
ONE-DIMENSIONAL CALCULATIONS
POTENTIALS
SUPERFLUIDITY
THREE-DIMENSIONAL CALCULATIONS
TWO-DIMENSIONAL CALCULATIONS