Topological Invariants of Metals and the Related Physical Effects

The total reciprocal space magnetic flux threading through a closed Fermi surface is a topological invariant for a three-dimensional metal. For a Weyl metal, the invariant is nonzero for each of its Fermi surfaces. We show that such an invariant can be related to the magneto-valley-transport effect,...

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Published inChinese physics letters Vol. 30; no. 2; pp. 027101 - 1-027101-4
Main Authors ZHOU, Jian-Hui, JIANG, Hua, NIU, Qian, SHI, Jun-Ren
Format Journal Article
LanguageEnglish
Published 01.01.2013
Subjects
Fermi surfaces
Invariants
Joints
Magnetic fields
Magnetic flux
Reciprocal space
Three dimensional
Topology
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Summary:The total reciprocal space magnetic flux threading through a closed Fermi surface is a topological invariant for a three-dimensional metal. For a Weyl metal, the invariant is nonzero for each of its Fermi surfaces. We show that such an invariant can be related to the magneto-valley-transport effect, in which an external magnetic field can induce a valley current. We further show that a strain field can drive an electric current, and that the effect is dictated by a second-class Chern invariant. These connections open the pathway to observe the hidden topological invariants in metallic systems.
Bibliography:ObjectType-Article-1
SourceType-Scholarly Journals-1
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ISSN:0256-307X
1741-3540
DOI:10.1088/O2O6-307X/30/2/027101