Aspects of symmetry and topology in the charge density wave phase of 1T-TiSe2

Abstract

The charge density wave (CDW) in 1T-TiSe2 accompanied by the periodic lattice distortion has a nontrivial symmetry configuration. The symmetry is important as an indication of the mechanism and a cue for experimental probes. We examine the symmetry of the system and clear up the connection of electronic structures between the normal and the CDW states. Especially, we unravel the consequential irreducible representations (IRs) of electronic states and, more ahead, those of gap functions among bands when the CDW occurs. Normally symmetry-related topology will be achieved directly, so we assert that the theory is valuable and practical for the search of topological CDW insulators.

13 pages, 5 figures

References in corpus (16)

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• Topological Insulators with Inversion Symmetry
• Strong light-matter coupling in two-dimensional atomic crystals
• Antiferromagnetic topological insulators
• Evidence for an excitonic insulator phase in 1T-TiSe${}_2$
• Controlling many-body states by the electric-field effect in a two-dimensional material
• Nodal Spin Density Wave and band topology of the FeAs based materials
• Semimetal to semimetal charge density wave transition in 1T-TiSe${}_2$
• Spontaneous exciton condensation in 1T-TiSe2: a BCS-like approach
• Observation of a Charge Density Wave Incommensuration Near the Superconducting Dome in CuxTiSe2
• Quantum and classical mode softening near the charge-density-wave/superconductor transition of Cu${}_x$TiSe${}_2$: Raman spectroscopic studies
• Checkerboard charge density wave and pseudogap in high-$T_c$ cuprates
• Reproduction of the charge density wave phase diagram in $1T$-${\mathrm{TiSe}}_2$ exposes its excitonic character
• Exciton-phonon cooperative mechanism of the triple-$q$ charge-density-wave and antiferroelectric electron polarization in TiSe${}_2$
• Local Real-Space View of the Achiral 1$T$-TiSe${}_2$ 2 $\times$ 2 $\times$ 2 Charge Density Wave
• Electronic structure of TiSe${}_2$ from a quasi-self-consistent G${}_0$W${}_0$ approach

Cited by in corpus (6)

• Orbital-selective Band Hybridisation at the Charge Density Wave Transition in Monolayer TiTe${}_2$
• Topological theory of inversion-breaking charge-density-wave monolayer 1\textit{T}-TiSe${}_2$
• Prediction of topological superconductivity in 1$T$-TiTe${}_2$ under pressure
• Gapless Topological Peierls-like instabilities in more than one dimension
• Tuning Incommensurate Charge Order in Ba${}_{1-x}$Sr${}_x$Al${}_4$ and Ba${}_{1-y}$Eu${}_y$Al${}_4$
• Kramers nodal line in the charge density wave state of YTe${}_3$ and the influence of twin domains