Physica A: Statistical Mechanics and its Applications, ISSN 0378-4371, 03/2015, Volume 422, pp. 193 - 202
The energy of a graph arising in chemical physics, denoted by , is defined as the sum of the absolute values of the eigenvalues of . As an analogue to , the...
Incidence energy | Energy | Laplacian spectrum | Lattice | TREES | PHYSICS, MULTIDISCIPLINARY | INVARIANT | INDEX | SIGNLESS LAPLACIAN | GRAPHS | Hexagonal lattice | Asymptotic properties | Mathematical analysis | Lattices | Exact solutions | Eigenvalues | Free boundaries | Computer programs | Incidence
Incidence energy | Energy | Laplacian spectrum | Lattice | TREES | PHYSICS, MULTIDISCIPLINARY | INVARIANT | INDEX | SIGNLESS LAPLACIAN | GRAPHS | Hexagonal lattice | Asymptotic properties | Mathematical analysis | Lattices | Exact solutions | Eigenvalues | Free boundaries | Computer programs | Incidence
Journal Article
Nature Physics, ISSN 1745-2473, 05/2011, Volume 7, Issue 5, pp. 434 - 440
In solid-state materials, the static and dynamic properties as well as the magnetic and electronic characteristics are crucially influenced by the crystal...
ULTRACOLD ATOMS | NEUTRAL ATOMS | PHYSICS, MULTIDISCIPLINARY | ENTANGLEMENT | PHYSICS | CONTROLLED COLLISIONS | OPTICAL LATTICES | Gases | Fluid dynamics | Quantum physics | Nanotubes | Crystal structure | Hexagonal lattice | Optical lattices | Graphene | Modulation | Crystals | Electronics | Density | Symmetry
ULTRACOLD ATOMS | NEUTRAL ATOMS | PHYSICS, MULTIDISCIPLINARY | ENTANGLEMENT | PHYSICS | CONTROLLED COLLISIONS | OPTICAL LATTICES | Gases | Fluid dynamics | Quantum physics | Nanotubes | Crystal structure | Hexagonal lattice | Optical lattices | Graphene | Modulation | Crystals | Electronics | Density | Symmetry
Journal Article
ACS Nano, ISSN 1936-0851, 05/2010, Volume 4, Issue 5, pp. 2695 - 2700
Molybdenum disulfide (MoS2) of single- and few-layer thickness was exfoliated on SiO2/Si substrate and characterized by Raman spectroscopy. The number of...
MoS | Two-dimensional crystal | Vibration | Phonon | Layered material | Interlayer interaction | Raman spectroscopy | OXIDATION | two-dimensional crystal | MoS2 | MOLYBDENUM-DISULFIDE | MATERIALS SCIENCE, MULTIDISCIPLINARY | RAMAN-SPECTROSCOPY | GRAPHENE | NANOSCIENCE & NANOTECHNOLOGY | GRAPHITE | vibration | layered material | CHEMISTRY, MULTIDISCIPLINARY | HEXAGONAL MOS2 | NANOPARTICLES | interlayer interaction | ATOMIC-FORCE MICROSCOPY | OPTICAL-ABSORPTION | phonon | SCATTERING | Physics - Materials Science | NANOSCIENCE AND NANOTECHNOLOGY | solar (photovoltaic), electrodes - solar, charge transport, materials and chemistry by design, optics, synthesis (novel materials) | MoS{sub 2}
MoS | Two-dimensional crystal | Vibration | Phonon | Layered material | Interlayer interaction | Raman spectroscopy | OXIDATION | two-dimensional crystal | MoS2 | MOLYBDENUM-DISULFIDE | MATERIALS SCIENCE, MULTIDISCIPLINARY | RAMAN-SPECTROSCOPY | GRAPHENE | NANOSCIENCE & NANOTECHNOLOGY | GRAPHITE | vibration | layered material | CHEMISTRY, MULTIDISCIPLINARY | HEXAGONAL MOS2 | NANOPARTICLES | interlayer interaction | ATOMIC-FORCE MICROSCOPY | OPTICAL-ABSORPTION | phonon | SCATTERING | Physics - Materials Science | NANOSCIENCE AND NANOTECHNOLOGY | solar (photovoltaic), electrodes - solar, charge transport, materials and chemistry by design, optics, synthesis (novel materials) | MoS{sub 2}
Journal Article
International Journal of Solids and Structures, ISSN 0020-7683, 03/2015, Volume 56-57, pp. 78 - 95
One dimensional (1D) and two dimensional (2D) magneto-elastic lattices are investigated as examples of multistable, periodic structures with adaptive wave...
Magneto-elastic | Wave propagation | Tunable properties | Reconfiguration | MECHANICS | Magnetization | Analysis | Hexagonal lattice | Nonlinear dynamics | Bloch waves | Lattices | Mathematical models | Two dimensional | Dynamical systems
Magneto-elastic | Wave propagation | Tunable properties | Reconfiguration | MECHANICS | Magnetization | Analysis | Hexagonal lattice | Nonlinear dynamics | Bloch waves | Lattices | Mathematical models | Two dimensional | Dynamical systems
Journal Article
Physical Review Letters, ISSN 0031-9007, 09/2015, Volume 115, Issue 11, p. 115502
In monolayer hexagonal lattices, the intravalley and intervalley scattering of electrons can involve chiral phonons at Brillouin-zone center and corners,...
TRANSITION-METAL DICHALCOGENIDES | WSE2 | HELICITY | PHYSICS, MULTIDISCIPLINARY | MOS2 | GRAPHENE | VALLEY POLARIZATION | BERRY PHASE | Hexagonal lattice | Scattering | Valleys | Monolayers | Phonons | Electronics | Hall effect | Corners
TRANSITION-METAL DICHALCOGENIDES | WSE2 | HELICITY | PHYSICS, MULTIDISCIPLINARY | MOS2 | GRAPHENE | VALLEY POLARIZATION | BERRY PHASE | Hexagonal lattice | Scattering | Valleys | Monolayers | Phonons | Electronics | Hall effect | Corners
Journal Article
Nano Letters, ISSN 1530-6984, 10/2016, Volume 16, Issue 10, pp. 6584 - 6591
MXenes are a large family of two-dimensional (2D) early transition metal carbides that have shown great potential for a host of applications ranging from...
topological insulator | large gap | first-principles calculations | triangular lattice | MXene | PHASES | PHYSICS, CONDENSED MATTER | PHYSICS, APPLIED | first principles calculations | EPITAXIAL-GROWTH | MATERIALS SCIENCE, MULTIDISCIPLINARY | GRAPHENE | CHEMISTRY, PHYSICAL | NANOSCIENCE & NANOTECHNOLOGY | BISMUTH | BILAYERS | CHEMISTRY, MULTIDISCIPLINARY | PREDICTION | INSULATORS | TRANSITION-METAL CARBIDES | SURFACE | HEXAGONAL BORON-NITRIDE | Science & Technology - Other Topics | Chemistry | Materials Science | Physics
topological insulator | large gap | first-principles calculations | triangular lattice | MXene | PHASES | PHYSICS, CONDENSED MATTER | PHYSICS, APPLIED | first principles calculations | EPITAXIAL-GROWTH | MATERIALS SCIENCE, MULTIDISCIPLINARY | GRAPHENE | CHEMISTRY, PHYSICAL | NANOSCIENCE & NANOTECHNOLOGY | BISMUTH | BILAYERS | CHEMISTRY, MULTIDISCIPLINARY | PREDICTION | INSULATORS | TRANSITION-METAL CARBIDES | SURFACE | HEXAGONAL BORON-NITRIDE | Science & Technology - Other Topics | Chemistry | Materials Science | Physics
Journal Article
Physica A: Statistical Mechanics and its Applications, ISSN 0378-4371, 11/2013, Volume 392, Issue 22, pp. 5615 - 5621
The dimer problem, Ising spins and bond percolation on the triangular kagomé lattice have been studied extensively by physicists. In this paper, based on the...
Hexagonal lattice | Kirchhoff index | Energy | Spanning trees | Triangular kagomé lattice | Triangular kagome lattice | PHYSICS, MULTIDISCIPLINARY | SPANNING-TREES | MODEL | GRAPHS
Hexagonal lattice | Kirchhoff index | Energy | Spanning trees | Triangular kagomé lattice | Triangular kagome lattice | PHYSICS, MULTIDISCIPLINARY | SPANNING-TREES | MODEL | GRAPHS
Journal Article
Nature Communications, ISSN 2041-1723, 2014, Volume 5, Issue 1, p. 5157
Unprecedented and fascinating phenomena have been recently observed at oxide interfaces between centrosymmetric cubic materials, where polar discontinuities...
LOCALIZED WANNIER FUNCTIONS | GRAPHENE NANORIBBONS | HETEROSTRUCTURES | MULTIDISCIPLINARY SCIENCES | ELECTRICAL-CONDUCTIVITY | MONOLAYER MOLYBDENUM-DISULFIDE | HEXAGONAL BORON-NITRIDE | SILICON-CARBIDE | ELECTRONICS | OXIDE INTERFACES | QUANTUM DOTS | Physics - Materials Science
LOCALIZED WANNIER FUNCTIONS | GRAPHENE NANORIBBONS | HETEROSTRUCTURES | MULTIDISCIPLINARY SCIENCES | ELECTRICAL-CONDUCTIVITY | MONOLAYER MOLYBDENUM-DISULFIDE | HEXAGONAL BORON-NITRIDE | SILICON-CARBIDE | ELECTRONICS | OXIDE INTERFACES | QUANTUM DOTS | Physics - Materials Science
Journal Article
Physical Review Letters, ISSN 0031-9007, 12/2014, Volume 113, Issue 23
Graphene, made of sp2 hybridized carbon, is characterized with a Dirac band, representative of its underlying 2D hexagonal lattice. The fundamental...
Hexagonal lattice | Phases | Semiconductors | Graphene | Searching | Electronics | Topology | Two dimensional
Hexagonal lattice | Phases | Semiconductors | Graphene | Searching | Electronics | Topology | Two dimensional
Journal Article
Physical Review Letters, ISSN 0031-9007, 11/2018, Volume 121, Issue 22, p. 221601
We consider an interacting quantum field theory on a curved two-dimensional manifold that we construct by geometrically deforming a flat hexagonal lattice by...
GRAPHENE | ELECTRONIC-PROPERTIES | RADIATIVE-CORRECTIONS | PHYSICS, MULTIDISCIPLINARY | HEAT-KERNEL | QUANTUM-FIELDS | Hexagonal lattice | Broken symmetry | Deformation mechanisms | Boundary conditions | Order parameters | Field theory | Quantum field theory | Curvature | Quantum theory
GRAPHENE | ELECTRONIC-PROPERTIES | RADIATIVE-CORRECTIONS | PHYSICS, MULTIDISCIPLINARY | HEAT-KERNEL | QUANTUM-FIELDS | Hexagonal lattice | Broken symmetry | Deformation mechanisms | Boundary conditions | Order parameters | Field theory | Quantum field theory | Curvature | Quantum theory
Journal Article
Journal of Mathematical Chemistry, ISSN 0259-9791, 1/2016, Volume 54, Issue 1, pp. 18 - 32
Let G be a graph that admits a perfect matching. A forcing set for a perfect matching M of G is a subset S of M, such that S is contained in no other perfect...
Klein bottle 4–8 lattice | Theoretical and Computational Chemistry | Chemistry | Forcing number | Physical Chemistry | Perfect matching | Toroidal 4–8 lattice | Math. Applications in Chemistry | Cartesian product | Toroidal 4-8 lattice | MATHEMATICS, INTERDISCIPLINARY APPLICATIONS | HEXAGONAL SYSTEMS | Klein bottle 4-8 lattice | CHEMISTRY, MULTIDISCIPLINARY | Square | Analysis | Lattice theory
Klein bottle 4–8 lattice | Theoretical and Computational Chemistry | Chemistry | Forcing number | Physical Chemistry | Perfect matching | Toroidal 4–8 lattice | Math. Applications in Chemistry | Cartesian product | Toroidal 4-8 lattice | MATHEMATICS, INTERDISCIPLINARY APPLICATIONS | HEXAGONAL SYSTEMS | Klein bottle 4-8 lattice | CHEMISTRY, MULTIDISCIPLINARY | Square | Analysis | Lattice theory
Journal Article
The Journal of Physical Chemistry C, ISSN 1932-7447, 05/2016, Volume 120, Issue 20, pp. 10895 - 10908
van der Waals heterostructures provide many novel applications due to a combination of properties. However, their experimental construction and theoretical...
AUGMENTED-WAVE METHOD | MOS2 | MATERIALS SCIENCE, MULTIDISCIPLINARY | DER-WAALS HETEROSTRUCTURES | GRAPHENE | CHEMISTRY, PHYSICAL | NANOSCIENCE & NANOTECHNOLOGY | TOTAL-ENERGY CALCULATIONS | DENSITY FUNCTIONALS | BLACK PHOSPHORUS | HEXAGONAL BORON-NITRIDE | BASIS-SET | ELECTRONIC-STRUCTURE
AUGMENTED-WAVE METHOD | MOS2 | MATERIALS SCIENCE, MULTIDISCIPLINARY | DER-WAALS HETEROSTRUCTURES | GRAPHENE | CHEMISTRY, PHYSICAL | NANOSCIENCE & NANOTECHNOLOGY | TOTAL-ENERGY CALCULATIONS | DENSITY FUNCTIONALS | BLACK PHOSPHORUS | HEXAGONAL BORON-NITRIDE | BASIS-SET | ELECTRONIC-STRUCTURE
Journal Article
European Journal of Mechanics / A Solids, ISSN 0997-7538, 09/2018, Volume 71, pp. 77 - 88
This paper presents elasto-plastic response and recoil analysis of two-dimensional honeycombs. The architecture studied here possesses cell wall bending as the...
Plastic analysis | Lattice material | Spring back | FOAMS | BEHAVIOR | COMPRESSION | YIELD SURFACES | IMPACT | MECHANICS | CELLULAR MATERIALS | EFFECTIVE ELASTIC PROPERTIES | HEXAGONAL HONEYCOMBS | ENERGY-ABSORPTION
Plastic analysis | Lattice material | Spring back | FOAMS | BEHAVIOR | COMPRESSION | YIELD SURFACES | IMPACT | MECHANICS | CELLULAR MATERIALS | EFFECTIVE ELASTIC PROPERTIES | HEXAGONAL HONEYCOMBS | ENERGY-ABSORPTION
Journal Article
Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, ISSN 1364-5021, 07/2018, Volume 474, Issue 2215, p. 20180132
We demonstrate a new method of achieving topologically protected states in an elastic hexagonal system of trusses by attaching gyroscopic spinners, which bring...
Gyroscopic spinners | Elastic lattices | Chiral systems | Dispersion | Uni-directionalwaveforms | chiral systems | gyroscopic spinners | MULTIDISCIPLINARY SCIENCES | uni-directional waveforms | DYNAMICS | EDGE WAVES | HONEYCOMB | elastic lattices | dispersion | PROPAGATION | ELASTIC-WAVES | 1008 | 122 | uni-directionalwaveforms | 191 | 120 | 1009
Gyroscopic spinners | Elastic lattices | Chiral systems | Dispersion | Uni-directionalwaveforms | chiral systems | gyroscopic spinners | MULTIDISCIPLINARY SCIENCES | uni-directional waveforms | DYNAMICS | EDGE WAVES | HONEYCOMB | elastic lattices | dispersion | PROPAGATION | ELASTIC-WAVES | 1008 | 122 | uni-directionalwaveforms | 191 | 120 | 1009
Journal Article
Journal of the Mechanics and Physics of Solids, ISSN 0022-5096, 2008, Volume 56, Issue 12, pp. 3459 - 3474
In this paper we study analytically the elastic properties of the 2-D and 3-D regular lattices consisting of bonded particles. The particle-scale stiffnesses...
Hexagonal closed packing (HCP) | Spring stiffness | Lattice elasticity | Discrete Element Model (DEM) | Face-centered cubic (FCC) | ROTATION | PHYSICS, CONDENSED MATTER | ROCK | MATERIALS SCIENCE, MULTIDISCIPLINARY | DEFORMATION | FAILURE | CONCRETE | SOLID MODEL | MECHANICS | ASSEMBLIES | STRESS | NUMERICAL-SIMULATION | GRANULAR MEDIA
Hexagonal closed packing (HCP) | Spring stiffness | Lattice elasticity | Discrete Element Model (DEM) | Face-centered cubic (FCC) | ROTATION | PHYSICS, CONDENSED MATTER | ROCK | MATERIALS SCIENCE, MULTIDISCIPLINARY | DEFORMATION | FAILURE | CONCRETE | SOLID MODEL | MECHANICS | ASSEMBLIES | STRESS | NUMERICAL-SIMULATION | GRANULAR MEDIA
Journal Article
Nano Letters, ISSN 1530-6984, 12/2018, Volume 18, Issue 12, pp. 7755 - 7760
The topological quantum states in two-dimensional (2D) materials are fascinating subjects of research, which usually highlight electron-related systems. In...
valley Berry phase | 2D hexagonal lattices | Dirac phonons | first-principles calculations | phonon edge states | PHYSICS, CONDENSED MATTER | PHYSICS, APPLIED | INSULATOR | MATERIALS SCIENCE, MULTIDISCIPLINARY | CHEMISTRY, PHYSICAL | NANOSCIENCE & NANOTECHNOLOGY | CRYSTAL | CHEMISTRY, MULTIDISCIPLINARY | POINTS
valley Berry phase | 2D hexagonal lattices | Dirac phonons | first-principles calculations | phonon edge states | PHYSICS, CONDENSED MATTER | PHYSICS, APPLIED | INSULATOR | MATERIALS SCIENCE, MULTIDISCIPLINARY | CHEMISTRY, PHYSICAL | NANOSCIENCE & NANOTECHNOLOGY | CRYSTAL | CHEMISTRY, MULTIDISCIPLINARY | POINTS
Journal Article
Acta Mechanica, ISSN 0001-5970, 9/2017, Volume 228, Issue 9, pp. 3155 - 3171
Our understanding of nonlinear dynamics critically hinges on rigorous closed-form solutions to nonlinear wave equations; few closed-form solutions have been...
Engineering | Vibration, Dynamical Systems, Control | Classical and Continuum Physics | Engineering Thermodynamics, Heat and Mass Transfer | Theoretical and Applied Mechanics | Continuum Mechanics and Mechanics of Materials | Structural Mechanics | DYNAMICS | MECHANICS | Analysis | Numerical analysis | Nonlinear dynamics | Nonlinear equations | Acoustic measurement | Lattice theory | Wave power | Computer simulation | Nondestructive testing | Shear resistance | Exact solutions | Lattices (mathematics) | Wave equations | Shear strength | Shock absorbers | Acoustic absorption | Dynamical systems | Hexagonal lattice | Hinges | Dynamic tests | Mathematical models | Solitary waves
Engineering | Vibration, Dynamical Systems, Control | Classical and Continuum Physics | Engineering Thermodynamics, Heat and Mass Transfer | Theoretical and Applied Mechanics | Continuum Mechanics and Mechanics of Materials | Structural Mechanics | DYNAMICS | MECHANICS | Analysis | Numerical analysis | Nonlinear dynamics | Nonlinear equations | Acoustic measurement | Lattice theory | Wave power | Computer simulation | Nondestructive testing | Shear resistance | Exact solutions | Lattices (mathematics) | Wave equations | Shear strength | Shock absorbers | Acoustic absorption | Dynamical systems | Hexagonal lattice | Hinges | Dynamic tests | Mathematical models | Solitary waves
Journal Article
International Journal of Mechanical Sciences, ISSN 0020-7403, 01/2019, Volume 150, pp. 784 - 806
An analytical framework is developed for investigating the effect of viscoelasticity on irregular hexagonal lattices. At room temperature many polymers are...
Hexagonal lattice | Karhunen-Loève expansion | Viscoelastic behaviour | Spatial irregularity | In-plane elastic moduli | Frequency domain analysis | COMPOSITE PLATES | ELASTIC PROPERTIES | VIBRATION ANALYSIS | CELL IRREGULARITY | NETWORKS | MECHANICAL-PROPERTIES | ENGINEERING, MECHANICAL | STOCHASTIC NATURAL FREQUENCY | HEXAGONAL HONEYCOMB | MECHANICS | WEIGHTED INTEGRAL METHOD | Karhunen-Loeve expansion | WAVE-PROPAGATION | Vibrations | Mechanics | Physics
Hexagonal lattice | Karhunen-Loève expansion | Viscoelastic behaviour | Spatial irregularity | In-plane elastic moduli | Frequency domain analysis | COMPOSITE PLATES | ELASTIC PROPERTIES | VIBRATION ANALYSIS | CELL IRREGULARITY | NETWORKS | MECHANICAL-PROPERTIES | ENGINEERING, MECHANICAL | STOCHASTIC NATURAL FREQUENCY | HEXAGONAL HONEYCOMB | MECHANICS | WEIGHTED INTEGRAL METHOD | Karhunen-Loeve expansion | WAVE-PROPAGATION | Vibrations | Mechanics | Physics
Journal Article