Fluctuations in two-dimensional six-vertex systems

Conference · Mon Jan 01 00:00:00 EST 1979

OSTI ID:6146352

Youngblood, R. W.; Axe, J. D.; McCoy, B. M.

The character of polarization correlations in six-vertex systems is discussed. With the aid of a connection between the 1-d Heisenberg--Ising chain and the six-vertex problem, existing results for the chain correlations are used to obtain information about long-wavelength polarization correlations in six-vertex models. These results are compared with a neutron scattering study of 2-d polarization correlations in the layered compound copper formate tetrahydrate. Because the six-vertex model is equivalent to a particular roughening model, these results also explicitly predict the critical behavior of that roughening model just above its roughening temperature. The results correspond to the predictions of Kosterlitz and Thouless for the phase transition in the 2-d Coulomb gas. 5 figures.

• Research Organization: Brookhaven National Lab., Upton, NY (USA); State Univ. of New York, Stony Brook (USA). Inst. for Theoretical Physics
• Sponsoring Organization: USDOE
• DOE Contract Number: EY-76-C-02-0016
• OSTI ID: 6146352
• Report Number(s): BNL-26196; CONF-790487-1; TRN: 79-016658
• Resource Relation: Conference: NATO advanced study Institute on ordering in strongly - fluctuating condensed - matter systems, Geilo, Norway, 16 Apr 1979
• Country of Publication: United States
• Language: English

Related Subjects

75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
36 MATERIALS SCIENCE
COPPER COMPOUNDS
NEUTRON DIFFRACTION
FERROELECTRIC MATERIALS
PHASE TRANSFORMATIONS
FORMATES
ANALYTICAL SOLUTION
CORRELATIONS
CRYSTAL STRUCTURE
FLUCTUATIONS
HYDRATES
ISING MODEL
POLARIZATION
TWO-DIMENSIONAL CALCULATIONS
CARBOXYLIC ACID SALTS
COHERENT SCATTERING
CRYSTAL MODELS
DIELECTRIC MATERIALS
DIFFRACTION
MATERIALS
MATHEMATICAL MODELS
SCATTERING
TRANSITION ELEMENT COMPOUNDS
VARIATIONS
656000* - Condensed Matter Physics
360602 - Other Materials- Structure & Phase Studies