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Related Concept Videos

Symmetry01:26

Symmetry

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The equation of an ellipse centered at the origin defines all points whose distances from the center maintain a constant ratio between the horizontal and vertical axes. This equation results in a smooth, closed curve that extends further along the x-axis than the y-axis, giving it a horizontal orientation. Such an ellipse demonstrates three kinds of symmetry: across the x-axis, across the y-axis, and about the origin. These symmetries are essential in understanding the graph's structure and...
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A planar symmetry of charge density is obtained when charges are uniformly spread over a large flat surface. In planar symmetry, all points in a plane parallel to the plane of charge are identical with respect to the charges. Suppose the plane of the charge distribution is the xy-plane, and the electric field at a space point P with coordinates (x, y, z) is to be determined. Since the charge density is the same at all (x, y) - coordinates in the z = 0 plane, by symmetry, the electric field at P...
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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.
All metallic solids exhibit high thermal and electrical conductivity, metallic luster, and malleability....
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Alkali Metals03:06

Alkali Metals

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Group 1 elements are soft and shiny metallic solids. They are malleable, ductile, and good conductors of heat and electricity. The melting points of the alkali metals are unusually low for metals and decrease going down the group, while the density increases going down the group with the exception of potassium (Table 1).
Table 1: Properties of the alkali metals
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Once the fields have been calculated using Maxwell's four equations, the Lorentz force equation gives the force that the fields exert on a charged particle moving with a certain velocity. The Lorentz force equation combines the force of the electric field and of the magnetic field on the moving charge. Maxwell's equations and the Lorentz force law together encompass all the laws of electricity and magnetism. The symmetry that Maxwell introduced into his mathematical framework may not be...
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Symmetry-Protected Topological Metals.

Xuzhe Ying1, Alex Kamenev1,2

  • 1School of Physics and Astronomy, University of Minnesota, Minneapolis, Minnesota 55455, USA.

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Summary
This summary is machine-generated.

Topological quantum phase transitions can occur between gapless metallic states, not just gapped ones. These transitions feature a distinct jump in transport properties, protected by underlying symmetries.

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Area of Science:

  • Condensed matter physics
  • Quantum materials
  • Topological phases

Background:

  • Topological quantum phase transitions (TQPTs) are typically studied in systems with gapped electronic spectra.
  • Understanding TQPTs in gapless systems is crucial for exploring novel quantum phenomena.

Purpose of the Study:

  • To demonstrate that TQPTs can exist between two gapless metallic states.
  • To characterize the nature of these transitions and their protective mechanisms.

Main Methods:

  • Theoretical modeling of a 2D p+ip superconductor with applied supercurrent.
  • Analysis of transport coefficients and symmetry protection.

Main Results:

  • TQPTs are shown to occur between gapless metallic states with extended Fermi surfaces.
  • A discontinuous, non-quantized jump in an off-diagonal transport coefficient characterizes the transition.
  • Particle-hole symmetry protects the sharpness of the transition.

Conclusions:

  • The concept of TQPTs extends beyond gapped systems to include gapless metallic states.
  • Symmetry protection is key to the sharpness of these transitions.
  • The findings offer new avenues for exploring topological phenomena in condensed matter systems.