Charge density waves in Weyl semimetals

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.

10 pages, 1 figure, published version

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• Emergent anomalies and generalized Luttinger theorems in metals and semimetals
• Topological polarization, dual invariants, and surface flat band in crystalline insulators
• Chirality manipulation of ultrafast phase switchings in a correlated CDW-Weyl semimetal
• Dynamical Piezomagnetic Effect in Time-Reversal Invariant Weyl Semimetals with Axionic Charge-Density Waves
• Non-Hermitian higher-Order Weyl semimetal with surface diabolic points
• $\eta$-pairing in correlated fermion models with spin-orbit coupling
• Chemical Rules for Stacked Kagome and Honeycomb Topological Semimetals
• Finite-Momentum Instability of Dynamical Axion Insulator
• Floquet Exceptional Topological Insulator
• Fermion-fermion interaction driven instability and criticality of quadratic band crossing systems with the breaking of time-reversal symmetry
• Topological order in interacting semimetals
• Simulating Higher-Order Topological Insulators in Density Wave Insulators
• The Weyl-Mott point: topological and non-Fermi liquid behavior from an isolated Green's function zero
• Multiphoton Spectroscopy of a Dynamical Axion Insulator
• Relativistic horizon of interacting Weyl fermions in condensed matter systems
• Magneto-Seebeck coefficient of Fermi-liquid in three-dimensional Dirac/Weyl semimetal
• Absence of localization in Weyl semimetals
• Optical Response from Charge-Density Waves in Weyl Semimetals
• Two body interactions induces the axion-phason field in Weyl semimetals