Multiple-step melting in two-dimensional hexatic liquid-crystal films

An unexpected three-stage melting transition has been observed in two-dimensional (2D) free-standing liquid-crystal films by in situ electron-diffraction and optical-reflectivity measurements. These data suggest the existence of two phases between the 2D solid and liquid: a hexatic phase and, at a higher temperature, an intermediate liquid phase with hexatic-like positional correlations ( approximately 40 angstroms) but no long-range orientational order. Previous high-resolution heat-capacity measurements have revealed a divergent-like anomaly at the hexatic-liquid transition that sharply contradicts the predictions of 2D melting theories. The observation of an intermediate isotropic phase may alter our understanding of 2D melting and lead to reconciliation between current experiments and theories.

[1]  A. P. Young,et al.  Melting and the vector Coulomb gas in two dimensions , 1979 .

[2]  Sirota,et al.  Synchrotron x-ray observation of surface smectic-I hexatic layers on smectic-C liquid-crystal films. , 1987, Physical review. A, General physics.

[3]  R. Geer,et al.  An ac calorimeter for measuring heat capacity of free-standing liquid-crystal films , 1991 .

[4]  T. Lubensky,et al.  Principles of condensed matter physics , 1995 .

[5]  P. Pershan Structure of Liquid Crystal Phases , 1988 .

[6]  Sikes,et al.  Two-dimensional melting of an anisotropic crystal observed at the molecular level , 1997, Science.

[7]  Huang,et al.  Nature of the smectic-A-hexatic-B-crystal-E transitions in extremely thin films determined by optical reflectivity measurements. , 1994, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

[8]  Ho,et al.  Electron-diffraction study of free-standing liquid-crystal films. , 1987, Physical review letters.

[9]  Huang,et al.  Simultaneous measurement of heat capacity and in-plane density of thin free-standing liquid-crystal films. , 1992, Physical review letters.

[10]  C. Chou,et al.  Electron-diffraction study of a one-layer free-standing hexatic liquid-crystal film , 1997 .

[11]  D. Thouless,et al.  Ordering, metastability and phase transitions in two-dimensional systems , 1973 .

[12]  J. Goodby,et al.  X-Ray Observation of a Stacked Hexatic Liquid-CrystalBPhase , 1981 .

[13]  N. Clark,et al.  Light-Scattering Study of Two-Dimensional Molecular-Orientation Fluctuations in a Freely Suspended Ferroelectric Liquid-Crystal Film , 1978 .

[14]  David R. Nelson,et al.  Dislocation-mediated melting in two dimensions , 1979 .

[15]  Huang,et al.  Calorimetric and structural characterization of thin liquid-crystal films exhibiting the smectic-A-hexatic-B-crystal-B transitions. , 1995, Physical review letters.

[16]  T. Stoebe,et al.  Thermal properties of ‘stacked hexatic phases’ in liquid crystals , 1993 .

[17]  Stephenson,et al.  Orientational and positional order in a tilted hexatic liquid-crystal phase. , 1986, Physical review letters.

[18]  Katherine J. Strandburg,et al.  Two-dimensional melting , 1988 .