Helicity moduli of three-dimensional dilute XY models

Journal Article · Sun Jul 01 04:00:00 EDT 1984 · Phys. Rev. B: Condens. Matter; (United States)

DOI:https://doi.org/10.1103/PhysRevB.30.106· OSTI ID:6541159

Garg, A; Pandit, R; Solla, S A; Ebner, C

The helicity moduli of various dilute, classical XY models on three-dimensional lattices are studied with a view to understanding some aspects of the superfluidity of /sup 4/He in Vycor glass. A spin-wave calculation is used to obtain the low-temperature helicity modulus of a regularly-diluted XY model. A similar calculation is performed for the randomly bond-diluted and site-diluted XY models in the limit of low dilution. A Monte Carlo simulation is used to obtain the helicity modulus of the randomly bond-diluted XY model over a wide range of temperature and dilution. It is found that the randomly diluted models do agree and the regularly diluted model does not agree with certain experimentally found features of the variation in superfluid fraction with coverage of /sup 4/He in Vycor glass.

• Research Organization: Laboratory of Atomic and Solid State Physics, Cornell University, Ithaca, New York 14853
• OSTI ID: 6541159
• Journal Information: Phys. Rev. B: Condens. Matter; (United States), Journal Name: Phys. Rev. B: Condens. Matter; (United States) Vol. 30:1; ISSN PRBMD
• Country of Publication: United States
• Language: English

Related Subjects

640450* -- Fluid Physics-- Superfluidity
75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
CRYSTAL LATTICES
CRYSTAL STRUCTURE
EVEN-EVEN NUCLEI
FLUIDS
GROUP THEORY
HELICITY
HELIUM 4
HELIUM II
HELIUM ISOTOPES
ISOTOPES
LIGHT NUCLEI
MATHEMATICS
MONTE CARLO METHOD
NUCLEI
PARTICLE PROPERTIES
QUANTUM FLUIDS
RENORMALIZATION
SIMULATION
SPIN WAVES
STABLE ISOTOPES
SUPERFLUIDITY
TEMPERATURE DEPENDENCE
THREE-DIMENSIONAL CALCULATIONS
VYCOR