Emergent Edge Modes in Shifted Quasi-One-Dimensional Charge Density Waves

Abstract

We propose and study a two-dimensional (2D) phase of shifted charge density waves (CDW), which is constructed from an array of weakly coupled 1D CDW wires whose phases shift from one wire to the next. We show that the fully gapped bulk CDW has topological properties, characterized by a nonzero Chern number, that imply edge modes within the bulk gap. Remarkably, these edge modes exhibit spectral pseudo-flow as a function of \emph{position} along the edge, and are thus dual to the chiral edge modes of Chern insulators with their spectral flow in \emph{momentum} space. Furthermore, we show that the CDW edge modes are stable against inter-wire coupling. Our predictions can be tested experimentally in quasi-1D CDW compounds such as Ta${}_2$Se${}_8$I.

arXiv comment5+4 pages, 4+6 figures

References in corpus (17)

• Chern Numbers in Discretized Brillouin Zone: Efficient Method of Computing (Spin) Hall Conductances
• Edge states and topological phases in one-dimensional optical superlattices
• The Fractional Quantum Hall effect in an array of quantum wires
• Evidence for an axionic charge density wave in the Weyl semimetal (TaSe4)2I
• High magnetic field scales and critical currents in SmFeAs(O,F) crystals: promising for applications
• Wire deconstructionism of two-dimensional topological phases
• Sliding Luttinger liquid phases
• A Charge-Density-Wave Topological Semimetal
• Type-III Weyl Semimetals: (TaSe4)2I
• Sliding Phases via Magnetic Fields
• First-principles study of the low-temperature charge density wave phase in the quasi-one-dimensional Weyl chiral compound (TaSe${}_4$)${}_2$I
• Electronic Instability in a Zero-Gap Semiconductor: the Charge-Density Wave in (TaSe4)2I
• Scanning Tunneling Microscopy in TTF-TCNQ :direct proof of phase and amplitude modulated charge density waves
• Eightfold Fermionic Excitation in a Charge Density Wave Compound
• Thermal dynamics of charge density wave pinning in ZrTe3
• Surface Charge Induced Dirac Band Splitting in a Charge Density Wave Material (TaSe4)2I
• Absence of in-gap modes in charge density wave edge dislocations of the Weyl semimetal (TaSe${}_4$)${}_2$I

Cited by in corpus (3)

• Discovery of a Topological Charge Density Wave
• Topological states constructed by two different trivial quantum wires
• Emergent Weyl-like points in periodically modulated systems