TY - JOUR
T1 - The hydrodynamics of a two-dimensional hexatic phase
AU - Sonin, E. B.
AU - Vinen, W. F.
PY - 1998/3/16
Y1 - 1998/3/16
N2 - The paper presents a simplified theoretical analysis of the hydrodynamics of a two-dimensional hexatic phase, based on the more detailed theory of Zippelius et al (Zippelius A, Halperin B I and Nelson D R 1980 Phys. Rev. B 22 2514). The crossover, with increasing frequency, of the hydrodynamic modes from those typical of a hexatic phase to those typical of a solid is studied in a free-dislocation model, and it is discussed whether in practice this crossover is likely to be strongly affected by the presence of dislocation pairs. The theory is applied to a two-dimensional sheet of ions trapped below the free surface of superfluid helium, and the effect of both a magnetic field and a finite ionic mobility is examined. The extent to which this system offers the possibility of experimental verification of the theory is discussed.
AB - The paper presents a simplified theoretical analysis of the hydrodynamics of a two-dimensional hexatic phase, based on the more detailed theory of Zippelius et al (Zippelius A, Halperin B I and Nelson D R 1980 Phys. Rev. B 22 2514). The crossover, with increasing frequency, of the hydrodynamic modes from those typical of a hexatic phase to those typical of a solid is studied in a free-dislocation model, and it is discussed whether in practice this crossover is likely to be strongly affected by the presence of dislocation pairs. The theory is applied to a two-dimensional sheet of ions trapped below the free surface of superfluid helium, and the effect of both a magnetic field and a finite ionic mobility is examined. The extent to which this system offers the possibility of experimental verification of the theory is discussed.
UR - http://www.scopus.com/inward/record.url?scp=0347922782&partnerID=8YFLogxK
U2 - 10.1088/0953-8984/10/10/004
DO - 10.1088/0953-8984/10/10/004
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AN - SCOPUS:0347922782
SN - 0953-8984
VL - 10
SP - 2191
EP - 2207
JO - Journal of Physics Condensed Matter
JF - Journal of Physics Condensed Matter
IS - 10
ER -