Charge density waves in Weyl semimetals
Dan Sehayek, Manisha Thakurathi, A. A. Burkov
Abstract
We present a theory of charge density wave (CDW) states in Weyl semimetals and their interplay with the chiral anomaly. In particular, we demonstrate a special nature of the shortest-period CDW state, which is obtained when the separation between the Weyl nodes equals exactly half a primitive reciprocal lattice vector. Its topological properties are shown to be distinct from all other Weyl CDW states. We make a connection between this observation and the three-dimensional fractional quantum Hall state, which was recently proposed to exist in magnetic Weyl semimetals.
Topics & Concepts
PhysicsCharge density waveConnection (principal bundle)Chiral anomalyWeyl semimetalLattice (music)FermionLandau quantizationCondensed matter physicsSemimetalReciprocalCharge (physics)Reciprocal latticeMagnetic monopoleQuantum mechanicsMagnetic fieldMathematicsGeometryAcousticsSuperconductivityLinguisticsBand gapDiffractionPhilosophyTopological Materials and PhenomenaGraphene research and applicationsQuantum and electron transport phenomena