Erratum: Phases of<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msup><mml:mrow><mml:mi mathvariant="normal">He</mml:mi></mml:mrow><mml:mrow><mml:mn>3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math>and<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msup><mml:mrow><mml:mi mathvariant="normal">He</mml:mi></mml:mrow><mml:mrow><mml:mn>4</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math>monolayer films adsorbed on basal-pl

Bretz, M.; Dash, J. G.; Hickernell, D. C.; McLean, E. O.; Vilches, O. E.

doi:10.1103/physreva.9.2814.2

Cited by 30 publications

(8 citation statements)

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“…)£ x (iUl/(l + v^ (3) with v =ss X/(2fi+X) ^Poisson ratio, and h,Ai being integer-valued stress gauge fields (to be summed over in the partition function). The other, dual representation is…”

Section: Zocmentioning

confidence: 99%

From First-Order to Two Continuous Melting Transitions: Monte Carlo Study of a New 2D Lattice-Defect Model

Janke

Kleinert

1988

Phys. Rev. Lett.

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We present a Monte Carlo study of a new lattice model describing defects and their elastic interactions, including a term that accounts for rotational stiffness over a length scale /. We show that, when going from small / (as in most atomic crystals) to large / (as in many molecular crystals), the melting process changes from a single first-order to two successive Kosterlitz-Thouless transitions.PACS numbers: 64.70.DvThe Kosterlitz-Thouless-Halperin-Nelson-Young suggestion l that two-dimensional melting should proceed via two successive continuous transitions of the Kosterlitz-Thouless type seems to be applicable only to layers of liquid crystals. 2 Experiments on atomic layers loosely absorbed on surfaces, 3 or molecular-dynamic simulations of two-dimensional Lennard-Jones systems, 4 have always been found to undergo only a single first-order melting transition. For high coverage, it may sometimes become continuous, 5 but it has never been seen to split into two successive transitions. The same has been found for all lattice models which simulate an ensemble of crystal defects with long-range elastic interactions of linear elasticity 6 £ c V ) -Jrf 2 «[W4)0,-tty + 8^/) 2 + a/2)(8 I -M I -) 2 ], J where w, are the lattice displacements and n,X are the elastic moduli.Recently, 7 it has been shown that the characteristic parameter which specifies the difference between atomic crystals and those formed by liquid crystals, namely, the length scale of rotational stiffness, /, is responsible for the different melting processes. It appears in the second gradient elastic interaction E%r = 2fj,l 2 fd 2 %(di(a) 2 , where

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Section: Zocmentioning

confidence: 99%

From First-Order to Two Continuous Melting Transitions: Monte Carlo Study of a New 2D Lattice-Defect Model

Janke

Kleinert

1988

Phys. Rev. Lett.

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“…These films provided, for the first time, realizations of several phases of matter in reduced dimensionality: two-dimensional (2D) gases and fluids [6][7][8], commensurate (CS) [9,10] and incommensurate (ICS) solids [11][12][13], as well as the phase transitions between them as a function of temperature and coverage.…”

mentioning

confidence: 99%

“…Single layer helium films physisorbed on exfoliated graphite have been studied in great detail, both experimentally and theoretically, for a long time [1][2][3][4][5]. These films provided, for the first time, realizations of several phases of matter in reduced dimensionality: two-dimensional (2D) gases and fluids [6][7][8], commensurate (CS) [9,10] and incommensurate (ICS) solids [11][12][13], as well as the phase transitions between them as a function of temperature and coverage.A new carbon material discovered in the last decade is carbon nanotubes [14,15]. In the form of bundles or ropes, they have a rather large surface area per gram of material which makes them suitable for physisorption studies using somewhat conventional techniques.…”

mentioning

confidence: 99%

Helium adsorbed on carbon nanotube bundles: one-dimensional and/or two-dimensional solids?

Wilson

Vilches

2003

Low Temperature Physics

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Heat capacity measurements of 4 He adsorbed on closed-end single-wall carbon nanotube bundles in the temperature range 1.5 K < T < 6 K are reported. Heats of adsorption Q st calculated from isotherms measured on the same calorimeter cell are included. We correlate Q st features with features of the helium heat capacity. We discuss possible interpretations of the current data. Single layer helium films physisorbed on exfoliated graphite have been studied in great detail, both experimentally and theoretically, for a long time [1][2][3][4][5]. These films provided, for the first time, realizations of several phases of matter in reduced dimensionality: two-dimensional (2D) gases and fluids [6][7][8], commensurate (CS) [9,10] and incommensurate (ICS) solids [11][12][13], as well as the phase transitions between them as a function of temperature and coverage.A new carbon material discovered in the last decade is carbon nanotubes [14,15]. In the form of bundles or ropes, they have a rather large surface area per gram of material which makes them suitable for physisorption studies using somewhat conventional techniques. Although many types of carbon nanotubes exist, considerable theoretical [16][17][18][19][20][21][22][23][24][25][26][27] and some experimental [28][29][30][31][32][33][34][35][36] work has been done on the adsorption of many rare gas atoms and simple molecules deposited on closed-end single-wall carbon nanotube (SWNT) bundles. The attraction of the SWNT bundles is that on the interstitial channels between three nanotubes and on the grooves between two nanotubes on the outside surface of a bundle, one-dimensional (1D) chains of atoms/molecules can be adsorbed. These chains may be in the form of 1D gases and fluids if mobile [17,21,26,27] and perhaps commensurate and/or incommensurate solids [37]. Further adsorption on the outside surface of the bundles should lead to their coating with a monolayer that physically resembles adsorption on graphite, perhaps with different properties due to the curvature of the graphene surfaces, finite size, and confinement between grooves of the bundle [37]. A crossover from 1D to 2D or 3D properties is then possible, given that one can start with 1D chains that eventually, as a function of coverage and/or temperature, interact with each other in 2D and 3D space.In this article we report on initial studies of the heat capacity of 4 He on SWNT bundles as a function of temperature and volume of gas adsorbed (coverage); these measurements are complemented by a few volumetric adsorption isotherms on the same bundles. Two previous somewhat indirect measurements of the heat capacity of 4 He on SWNT bundles have appeared [38,39]. In both cases, the prime intent of the measurement was to obtain the heat capacity of the nanotubes; 4 He was used as exchange gas to cool the bundles and/or the calorimeter and inner parts of the cryostat.

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“…It has been used previously for neutron or X-ray scattering of films [8,9,[30][31][32]. Papyex is a manufactured product similar to grafoil which was extensively used in adsorption studies [1,13,15,16,[20][21][22]24].…”

Section: Expérimentât Procédures and Characterization -mentioning

confidence: 99%

“…Depending on the theoretical model, the melting can be a sharp (first order) or continuous (higher order) transition [10,12]. It has been extensively studied experimentally with numerous adsorbates using graphite as a substrate [8,9,[13][14][15][16][17][18][19][20][21][22][23][24][25][26].…”

Section: Introduction -Physisorbed Monolayer Filmsmentioning

confidence: 99%

Two-dimensional polymorphism and melting in a monolayer of nitric oxide adsorbed on graphite

Coulomb¹,

Suzanne²,

Bienfait³

et al. 1980

J. Phys. France

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Three two-dimensional (2D) solids γ, δ and β have been observed at low temperature by neutron scattering in the first monolayer of nitric oxide adsorbed on graphite. The structure of two of these solids, y and β, has been determined. In both cases, nitric oxide molecules are dimerized, but in the β phase N2O2 molecules stand up whereas in the y solid they lie down on the substrate. The β and y configurations are analogous to the packing of two planes of the nitric oxide bulk crystal namely the (001) plane for the β phase and the (101) plane for the y solid. The intermediate δ structure is not resolved but a possible unit cell is given. Increasing the temperature results in a melting of the 2D solids. A particular emphasis is made on the β-liquid transition which is shown to be first order. Other first order transitions are also observed like the β solid ⇄ δ solid, liquid ⇄ gas and y solid ⇄ gas transformations. All these results combined with previous adsorption isotherm measurements are put together in a proposed 2D phase diagram displaying three triple points, one critical temperature and one tricritical point

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Erratum: Phases ofHe3andHe4monolayer films adsorbed on basal-pl

Cited by 30 publications

References 0 publications

From First-Order to Two Continuous Melting Transitions: Monte Carlo Study of a New 2D Lattice-Defect Model

From First-Order to Two Continuous Melting Transitions: Monte Carlo Study of a New 2D Lattice-Defect Model

Helium adsorbed on carbon nanotube bundles: one-dimensional and/or two-dimensional solids?

Two-dimensional polymorphism and melting in a monolayer of nitric oxide adsorbed on graphite

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