DOE PAGES title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: Phase transitions and dimensional cross-over in layered confined solids

Journal Article · · Proceedings of the National Academy of Sciences
 [1];  [2];  [2];  [3];  [4]; ORCiD logo [5]; ORCiD logo [6]; ORCiD logo [7]; ORCiD logo [2]
  1. Nanjing University (China); Princeton University, NJ (United States)
  2. Nanjing University (China)
  3. Bohai University, Jinzhou (China)
  4. Instituto Nacional de Pesquisas Espaciais (Brazil)
  5. Brown University, Providence, RI (United States)
  6. Aalto University, Espoo (Finland); Loughborough University, Leicestershire (United Kingdom)
  7. Princeton University, NJ (United States)

The nature of solid phases and cross-over of order–disorder phase transitions from two-dimensional (2D) layers to three-dimensional (3D) bulk in confined atomic systems remain largely unexplained. To this end, we consider noble gases and aluminum confined between graphene sheets at different pressures and temperatures. Using crystal structure search methods and molecular dynamics based on machine-learned potentials with quantum-mechanical accuracy, we identify structures of multilayer confined solids that deviate from simple close packing. Upon heating, we find that confined 2D monolayers melt according to the two-step continuous Kosterlitz–Thouless–Halperin–Nelson–Young theory. However, multilayer solids transition continuously into an intermediate layered-hexatic phase before melting discontinuously into an isotropic liquid. This intermediate phase persists at least up to 12 layers studied here. This change can be qualitatively understood based on the cross-over from 2D topological defects toward 3D ones during melting as the number of layers increases.

Research Organization:
Princeton University, NJ (United States)
Sponsoring Organization:
Basic Research Program of Jiangsu; National Energy Research Scientific Computing Center (NERSC); National Natural Science Foundation of China; Postdoctoral Fellowship Program of CPSF; USDOE
Grant/Contract Number:
AC02-05CH11231; SC0019394
OSTI ID:
2996983
Journal Information:
Proceedings of the National Academy of Sciences, Journal Name: Proceedings of the National Academy of Sciences Journal Issue: 17 Vol. 122; ISSN 1091-6490; ISSN 0027-8424
Publisher:
Proceedings of the National Academy of SciencesCopyright Statement
Country of Publication:
United States
Language:
English

References (51)

Comparative study of melting of graphite and graphene journal February 2020
Square ice in graphene nanocapillaries journal March 2015
Emergent tetratic order in crowded systems of rotationally asymmetric hard kite particles journal April 2020
Creating two-dimensional solid helium via diamond lattice confinement journal October 2022
Active cell divisions generate fourfold orientationally ordered phase in living tissue journal May 2023
Rich proton dynamics and phase behaviours of nanoconfined ices journal January 2024
Phase transitions in 2D materials journal April 2021
The first-principles phase diagram of monolayer nanoconfined water journal September 2022
Two-stage melting induced by dislocations and grain boundaries in monolayers of hard spheres journal January 2014
GPUMD: A package for constructing accurate machine-learned potentials and performing highly efficient atomistic simulations journal September 2022
Melting from one to two to three dimensions journal November 2002
Ordering, metastability and phase transitions in two-dimensional systems journal April 1973
Phase behaviour of hard spheres confined between parallel hard plates: manipulation of colloidal crystal structures by confinement journal June 2006
MAGUS: machine learning and graph theory assisted universal structure searcher journal May 2023
Existence of Long-Range Order in One and Two Dimensions journal June 1967
Layering transitions in colloidal crystals as observed by diffraction and direct-lattice imaging journal July 1986
Melting and the vector Coulomb gas in two dimensions journal February 1979
Dislocation-mediated melting in two dimensions journal March 1979
X-ray diffraction and equation of state of solid neon to 110 GPa journal June 1989
Layering transition in confined molecular thin films: Nucleation and growth journal August 1994
Theory of first-order layering transitions in thin helium films journal September 1996
Tetratic order in the phase behavior of a hard-rectangle system journal February 2006
Structural transformation of compressed solid Ar: An x-ray diffraction study to 114 GPa journal March 2006
Liquid-hexatic transition for soft disks journal August 2023
Phase diagram of hard spheres confined between two parallel plates journal June 1997
Computer simulations of two-dimensional melting with dipole-dipole interactions journal June 2006
Confinement-induced liquid ordering investigated by x-ray phase retrieval journal February 2007
Melting of two-dimensional tunable-diameter colloidal crystals journal April 2008
Hexatic smectic phase with algebraically decaying bond-orientational order journal May 2018
He4on a Single Graphene Sheet journal February 2009
Hexatic and Mesoscopic Phases in a 2D Quantum Coulomb System journal July 2009
Melting of Colloidal Crystal Films journal May 2010
Hexatic Phase in the Two-Dimensional Gaussian-Core Model journal June 2011
Two-Step Melting in Two Dimensions: First-Order Liquid-Hexatic Transition journal October 2011
Electron-Phonon Coupling and the Metallization of Solid Helium at Terapascal Pressures journal February 2014
Two-Dimensional Melting: From Liquid-Hexatic Coexistence to Continuous Transitions journal January 2015
Two Dimensional Ice from First Principles: Structures and Phase Transitions journal January 2016
Density Affects the Nature of the Hexatic-Liquid Transition in Two-Dimensional Melting of Soft-Core Systems journal August 2016
Two-Dimensional Melting of Colloidal Hard Spheres journal April 2017
Attraction Tames Two-Dimensional Melting: From Continuous to Discontinuous Transitions journal May 2020
Topological Order in an Antiferromagnetic Tetratic Phase journal June 2022
Two-Dimensional Melting of Two- and Three-Component Mixtures journal June 2023
Absence of Ferromagnetism or Antiferromagnetism in One- or Two-Dimensional Isotropic Heisenberg Models journal November 1966
Thin Colloidal Crystals journal March 1983
Experimental observation of two-stage melting in a classical two-dimensional screened Coulomb system journal March 1987
Dislocation Unbinding in Dense Two-Dimensional Crystals journal March 1995
Observations of First-Order Liquid-to-Hexatic and Hexatic-to-Solid Phase Transitions in a Confined Colloid Suspension journal September 1996
Two-Stage Melting of Paramagnetic Colloidal Crystals in Two Dimensions journal March 1999
Elastic Behavior of a Two-Dimensional Crystal Near Melting journal December 2004
Evidence of a fcc-hcp Transition in Aluminum at Multimegabar Pressure journal February 2006
Microscopic mechanisms of equilibrium melting of a solid journal November 2014