Preformed Excitons, Orbital Selectivity, and Charge-Density-Wave Order in 1T-TiSe_2

Abstract

Traditional routes to Charge-Density-Wave in transition metal dichalcogenides, relying on Fermi surface nesting or Jahn-Teller instabilities have recently been brought into question. While this calls for exploration of alternative views, paucity of theoretical guidance sustains lively controversy on the origin of, and interplay between CDW and superconductive orders in transition metal dichalcogenides. Here, we explore a preformed excitonic liquid route, heavily supplemented by modern correlated electronic structure calculations, to an excitonic-CDW order in 1T-TiSe${}_2$. We show that orbital-selective dynamical localisation arising from preformed excitonic liquid correlations is somewhat reminiscent to states proposed for $d$- and $f$-band quantum criticality at the border of magnetism. Excellent quantitative explication of a wide range of spectral and transport responses in both normal and CDW phases provides strong support for our scenario, and suggests that soft excitonic liquid fluctuations mediate superconductivity in a broad class of transition metal dichalcogenides on the border of CDW. This brings the transition metal dichalcogenides closer to the bad actors in $d$- and $f$-band systems, where anomalously soft fluctuations of electronic origin are believed to mediate unconventional superconductivity on the border of magnetism.

20 pages 9 figures

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• On the origin of the anomalous peak in the resistivity of TiSe${}_2$
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• Fascinating interplay between Charge Density Wave Order and magnetic field in Non-magnetic Rare-Earth Tritelluride LaTe${}_3$
• Charge Density Wave and Superconductivity in Transition Metal Dichalcogenides
• Correlation between electronic and structural orders in 1T-TiSe2
• Engineering Si doping in anatase and rutile TiO${}_2$ with oxygen vacancy for efficient optical application
• Pressure Driven Phase Transition in 1T-TiSe${}_2$ , a MOIPT+DMFT Study
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• Excitonic Order and Superconductivity in the Two-Orbital Hubbard Model: Variational Cluster Approach
• Do Dynamical Excitonic Liquid Correlations Mediate Superconductivity in Elemental Bismuth?
• Topological theory of inversion-breaking charge-density-wave monolayer 1\textit{T}-TiSe${}_2$
• Development of an efficient impurity solver in dynamical mean field theory for multi-band systems: The iterative perturbation theory combined with the parquet equations
• Orbital Selectivity and Magnetic Ordering in Fe intercalated Dirac Semimetal Bi${}_2$Se${}_3$
• Superconductivity induced by Ag intercalation in Dirac semimetal Bi${}_2$Se${}_3$
• Evidence of anisotropic three-dimensional weak-localization in TiSe${}_2$ nanoflakes
• Transport properties of the parent LaNiO2