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Related Concept Videos

Fluid Pressure over Flat Plate of Variable Width01:02

Fluid Pressure over Flat Plate of Variable Width

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When a flat plate is submerged in a fluid, the fluid exerts pressure on the plate. This pressure can lead to many different phenomena, including drag and buoyancy. To understand the behavior of the fluid over a flat plate of variable width, it is essential to analyze the distribution of the pressure exerted.
The pressure distribution on the plate can be calculated by determining the force that acts on a differential area strip of the plate. Thus, the magnitude of the force is equal to the...
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Mohr's Circle for Plane Strain01:18

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Mohr's circle is a crucial graphical method used to analyze plane strain by plotting strain on a set of cartesian coordinates, where the abscissa is normal strain ∈ and the ordinate is shear strain γ. Similarly to Mohr’s circle for plane stress, two points X and Y are plotted. Their coordinates are (∈x, -γXY) and (∈Y, γXY), respectively.
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Boundary Conditions: Lossless Lines01:21

Boundary Conditions: Lossless Lines

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Consider a single-phase, two-wire, lossless transmission line terminated by an impedance at the receiving end and a source with Thevenin voltage and impedance at the sending end. The line, with length, has a surge impedance and wave velocity determined by the line's inductance and capacitance.
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Fluid Pressure over Flat Plate of Constant Width01:05

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When a body is submerged in water, it experiences fluid pressure acting normal on its surface and distributed over its area. For better design structures, it is crucial to determine the magnitude and location of the resultant force acting on the surface. In the case of a rectangular plate of constant width submerged in water, the pressure increases with depth, resulting in a linearly varying trapezoidal pressure distribution from the upper to the lower edge of the plate.
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Steady, Laminar Flow Between Parallel Plates01:17

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Understanding steady, laminar flow between parallel plates is essential for analyzing and designing flow in narrow rectangular channels, commonly found in various water conveyance and drainage systems. The Navier-Stokes equations govern fluid motion and are generally challenging to solve due to their nonlinearity. However, simplifications are possible in certain cases, like the steady laminar flow between parallel plates. For this scenario, we assume steady, incompressible, laminar flow.
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Mohr's Circle for Plane Stress01:23

Mohr's Circle for Plane Stress

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Mohr's circle is a graphical method for identifying the state of stress at a point in a material, making it easier to analyze stress transformations under plane stress conditions. This two-dimensional technique visualizes both normal and shearing stresses on an element.
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Engineering Three-Dimensional Moiré Flat Bands.

Lede Xian1,2, Ammon Fischer3, Martin Claassen4

  • 1Songshan Lake Materials Laboratory, 523808 Dongguan, Guangdong China.

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|September 13, 2021
PubMed
Summary
This summary is machine-generated.

Researchers engineer three-dimensional flat bands in van der Waals materials by controlling twist angles. This breakthrough enables new quantum phases, including novel magnets and superconductors.

Keywords:
Ab Initio calculationsFlat bandsStrongly correlated electronsSuperconductivityTwisted moiré materials

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Area of Science:

  • Condensed Matter Physics
  • Materials Science
  • Quantum Mechanics

Background:

  • Twisting adjacent van der Waals layers creates moiré flat bands, enabling novel 2D electronic phenomena.
  • Moiré flat bands are crucial for understanding emergent physical properties in layered materials.

Purpose of the Study:

  • To generalize the concept of moiré flat bands into three spatial dimensions.
  • To engineer controllable three-dimensional flat bands in van der Waals heterostructures.
  • To explore potential applications in novel quantum phases of matter.

Main Methods:

  • Generalizing the moiré flat band concept to three dimensions by spatially shifting moiré patterns between stacked layers.
  • Applying the concept to graphitic systems, hexagonal boron nitride, and WSe2.
  • Developing an ab initio fitted tight-binding model for hexagonal boron nitride's 3D electronic structure.

Main Results:

  • Demonstrated a method to engineer three-dimensional flat bands by controlling twist angles in stacked van der Waals materials.
  • Successfully modeled the 3D electronic structure of hexagonal boron nitride using a tight-binding approach.
  • Identified the potential to induce and control 3D correlated phases, such as quantum magnets and unconventional superconductors.

Conclusions:

  • The generalized moiré flat band approach offers a versatile route to engineer 3D electronic structures.
  • This method opens new avenues for discovering and controlling exotic quantum phenomena in condensed matter systems.
  • The findings have broad implications for designing next-generation electronic and quantum devices.