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Related Concept Videos

Structures of Solids02:22

Structures of Solids

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Solids in which the atoms, ions, or molecules are arranged in a definite repeating pattern are known as crystalline solids. Metals and ionic compounds typically form ordered, crystalline solids. A crystalline solid has a precise melting temperature because each atom or molecule of the same type is held in place with the same forces or energy. Amorphous solids or non-crystalline solids (or, sometimes, glasses) which lack an ordered internal structure and are randomly arranged. Substances that...
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Metallic Solids02:37

Metallic Solids

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Metallic solids such as crystals of copper, aluminum, and iron are formed by metal atoms. The structure of metallic crystals is often described as a uniform distribution of atomic nuclei within a “sea” of delocalized electrons. The atoms within such a metallic solid are held together by a unique force known as metallic bonding that gives rise to many useful and varied bulk properties.
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Lattice Centering and Coordination Number02:33

Lattice Centering and Coordination Number

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The structure of a crystalline solid, whether a metal or not, is best described by considering its simplest repeating unit, which is referred to as its unit cell. The unit cell consists of lattice points that represent the locations of atoms or ions. The entire structure then consists of this unit cell repeating in three dimensions. The three different types of unit cells present in the cubic lattice are illustrated in Figure 1.
Types of Unit Cells
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Polymer Classification: Crystallinity01:21

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Unlike ionic or small covalent molecules, polymers do not form crystalline solids due to the diffusion limitations of their long-chain structures. However, polymers contain microscopic crystalline domains separated by amorphous domains.
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Network Covalent Solids02:18

Network Covalent Solids

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Network covalent solids contain a three-dimensional network of covalently bonded atoms as found in the crystal structures of nonmetals like diamond, graphite, silicon, and some covalent compounds, such as silicon dioxide (sand) and silicon carbide (carborundum, the abrasive on sandpaper). Many minerals have networks of covalent bonds.
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Energy Bands in Solids01:01

Energy Bands in Solids

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Isolated atoms have discrete energy levels that are well described by the Bohr model. And, it quantifies the energy of an electron in a hydrogen atom as En. Higher quantum numbers 'n' yield less negative, closer electron energy levels.
 Band Formation:
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Methods of Ex Situ and In Situ Investigations of Structural Transformations: The Case of Crystallization of Metallic Glasses
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Fractionalization and Topology in Amorphous Electronic Solids.

Sunghoon Kim1, Adhip Agarwala2,3,4, Debanjan Chowdhury1

  • 1Department of Physics, Cornell University, Ithaca, New York 14853, USA.

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This study explores topology in amorphous materials with strong interactions. Researchers discovered new topological phases and exotic states of matter in these disordered systems.

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Area of Science:

  • Condensed Matter Physics
  • Materials Science
  • Quantum Mechanics

Background:

  • Band topology is typically studied using crystalline Bloch wave functions.
  • Recent research shows topological properties persist in amorphous materials.
  • The impact of strong interactions on amorphous topology remains largely unexplored.

Purpose of the Study:

  • To investigate the effects of strong repulsive interactions on topological phases in amorphous materials.
  • To explore correlation-induced phenomena in disordered electronic systems.
  • To identify novel topological and Mott insulating phases in amorphous networks.

Main Methods:

  • Utilized a parton-based mean-field approach.
  • Analyzed a two-orbital electronic model with tunable topology.
  • Investigated a two-dimensional amorphous network.

Main Results:

  • Obtained the interacting phase diagram for the amorphous model.
  • Identified amorphous analogs of crystalline Mott insulating phases with chiral neutral edge modes.
  • Discovered a fractionalized Anderson insulating phase.
  • Found topological phases connected to the free fermion limit.

Conclusions:

  • Amorphous networks offer a novel platform for studying exotic states of matter.
  • The interplay of topology, disorder, and strong interactions leads to rich physics.
  • Glassy dynamics in these systems warrant further investigation.