CMT Seminar - Biao Lian (Stanford University) “Five dimensional generalization of the topological Weyl semimetal”

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October 3, 2016
11:30AM - 12:30PM
Location
1080 Physics Research Building - Smith Seminar Room

Date Range
Add to Calendar 2016-10-03 11:30:00 2016-10-03 12:30:00 CMT Seminar - Biao Lian (Stanford University) “Five dimensional generalization of the topological Weyl semimetal”

We generalize the concept of three-dimensional topological Weyl semimetal to a class of five dimensional (5D) gapless solids, where Weyl points are generalized to Weyl surfaces which are two-dimensional closed manifolds in the momentum space. Each Weyl surface is characterized by a U(1) second Chern number C2 defined on a four-dimensional manifold enclosing the Weyl surface, which is equal to its topological linking number with other Weyl surfaces in 5D. In analogy to the Weyl semimetals, the surface states of the 5D metal take the form of topologically protected Weyl fermion arcs, which connect the projections of the bulk Weyl surfaces. The further generalization of topological metal in 2n+1 dimensions carrying the n-th Chern number Cn is also discussed.

Faculty Host: Dr. Ho

 

 

 

1080 Physics Research Building - Smith Seminar Room Department of Physics physics@osu.edu America/New_York public
Description

We generalize the concept of three-dimensional topological Weyl semimetal to a class of five dimensional (5D) gapless solids, where Weyl points are generalized to Weyl surfaces which are two-dimensional closed manifolds in the momentum space. Each Weyl surface is characterized by a U(1) second Chern number C2 defined on a four-dimensional manifold enclosing the Weyl surface, which is equal to its topological linking number with other Weyl surfaces in 5D. In analogy to the Weyl semimetals, the surface states of the 5D metal take the form of topologically protected Weyl fermion arcs, which connect the projections of the bulk Weyl surfaces. The further generalization of topological metal in 2n+1 dimensions carrying the n-th Chern number Cn is also discussed.

Faculty Host: Dr. Ho