Charge Order from Orbital-dependent Coupling Evidenced by NbSe${}_2$

Abstract

Niobium diselenide has long served as a prototype of two-dimensional charge ordering, believed to arise from an instability of the electronic structure analogous to the one-dimensional Peierls mechanism. Despite this, various anomalous properties have recently been identified experimentally which cannot be explained by Peierls-like weak-coupling theories. We consider instead a model with strong electron-phonon coupling, taking into account both the full momentum and orbital dependence of the coupling matrix elements. We show that both are necessary for a consistent description of the full range of experimental observations. We argue that NbSe${}_2$ is typical in this sense, and that any charge-ordered material in more than one dimension will generically be shaped by the momentum and orbital dependence of its electron-phonon coupling as well as its electronic structure. The consequences will be observable in many charge-ordered materials, including cuprate superconductors.

16 pages, 5 figures

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Cited by in corpus (60)

• Signatures of exciton condensation in a transition metal dichalcogenide
• Spin-valley locking in the normal state of a transition-metal dichalocogenide superconductor
• Strong anharmonicity induces quantum melting of charge density wave in 2H-NbSe$\_2$ under pressure
• Using controlled disorder to probe the interplay between charge order and superconductivity in NbSe2
• Softening of a flat phonon mode in the kagome ScV${}_6$Sn${}_6$
• Atomic-Scale Strain Manipulation of a Charge Density Wave
• Robust parity-mixed superconductivity in disordered monolayer transition metal dichalcogenides
• Higgs-mode radiance and charge-density-wave order in 2H-NbSe${}_2$
• Yu-Shiba-Rusinov states in the charge-density modulated superconductor NbSe2
• Competing Coulomb and electron-phonon interactions in NbS${}_2$
• Single reconstructed Fermi surface pocket in an underdoped single layer cuprate superconductor
• Charge Order in NbSe${}_2$
• Competing soft phonon modes at the charge-density-wave transitions in DyTe${}_3$
• Three-dimensional Fermi surface of 2H-NbSe${}_2$ - Implications for the mechanism of charge density waves
• Yu-Shiba-Rusinov states of impurities in a triangular lattice of NbSe${}_2$ with spin orbit coupling
• Orbital selectivity causing anisotropy and particle-hole asymmetry in the charge density wave gap of $2H$-TaS${}_2$
• Ab initio phonon self-energies and fluctuation diagnostics of phonon anomalies: Lattice instabilities from Dirac pseudospin physics in transition metal dichalcogenides
• Spectroscopic signature of the $\mathbf{k}$-dependent electron-phonon coupling in $2H$-TaS${}_2$
• Soft-phonon and charge-density-wave formation in nematic BaNi${}_2$As${}_2$
• Strain-induced stripe phase in charge ordered single layer NbSe${}_2$
• Coexisting charge-ordered states with distinct driving mechanisms in monolayer VSe${}_2$
• Absence of superconducting dome at the charge-density-wave quantum phase transition in 2H-NbSe2
• Fermiology and electron-phonon coupling in the 2H and 3R polytypes of NbS${}_2$
• Thermodynamic Anomaly Above the Superconducting Critical Temperature in the Quasi One-Dimensional Superconductor Ta${}_4$Pd${}_3$Te${}_{16}$
• Charge order above room-temperature in a prototypical kagome superconductor La(Ru${}_{1-x}$Fe${}_x$)${}_3$Si${}_2$
• Experimental and Theoretical Electronic Structure and Symmetry Effects in Ultrathin NbSe2 Films
• Ultrafast dynamics in normal and Charge Density Wave phase of 2H-NbSe2
• Quantum phase transition in few-layer NbSe${}_2$ probed through quantized conductance fluctuations
• Charge density wave modulation and gap measurements in CeTe${}_3$
• Angle-resolved photoemission spectroscopy study of the charge density wave order in layered semiconductor EuTe4
• Evidence for nesting driven charge density waves instabilities in a quasi-two-dimensional material: LaAgSb2
• Electron correlations rule the phonon-driven instability in single layer TiSe${}_2$
• Charge Ordering Geometries in Uniaxially-Strained NbSe${}_2$
• Charge order from structured coupling in VSe${}_2$
• Controlling charge density order in 2H-TaSe${}_2$ using a van Hove singularity
• Elemental chalcogens as a minimal model for chiral charge and orbital order
• Incommensurate two-dimensional checkerboard charge density wave in the low dimensional superconductor Ta4Pd3Te16
• Superconducting energy gap of $2H$-NbSe${}_2$ in phonon spectroscopy
• Precursor phase with full phonon softening above the charge-density-wave phase transition in $2H$-TaSe${}_2$
• Discovery of a Topological Charge Density Wave
• Holographic superconductor induced by charge density waves
• Incommensurate $2k_F$ density wave quantum criticality in two dimensional metals
• Inelastic electron tunneling in 2H-Ta${}_x$Nb${}_{1-x}$Se${}_2$ evidenced by scanning tunneling spectroscopy
• Charge Density Waves and the Effects of Uniaxial Strain on the Electronic Structure of 2H-NbSe${}_2$
• Band structures and ${\mathbb{Z}}_2$ invariants of two-dimensional transition metal dichalcogenide monolayers from fully-relativistic Dirac-Kohn-Sham theory using Gaussian-type orbitals
• Electron-momentum dependence of electron-phonon coupling underlies dramatic phonon renormalization in YNi${}_2$B${}_2$C
• Strain-Induced Charge Density Waves with Emergent Topological States in Monolayer NbSe2
• Impact ionization dynamics in small band-gap 2D materials from a coherent phonon mechanism
• Charge-density-wave quantum critical point under pressure in 2$H$-TaSe${}_2$
• Electron-hole response function of transition metal trichalcogenides NbSe${}_3$ and monoclinic-TaS${}_3$
• In-plane anisotropy of charge density wave fluctuations in 1$T$-TiSe${}_2$
• Identification of a Low Energy Metastable 1$T$-Type Phase for Monolayer VSe2
• Electron-mediated anharmonicity and its role in the Raman spectrum of graphene
• Anisotropy of Yu-Shiba-Rusinov states in NbSe${}_2$
• Optical amplification in a CDW-phase of a quasi-two dimensional material
• Periodic surface modulation of $(LaSe{)}_{1.14}(NbS{e}_2)$ observed by scanning tunneling microscopy
• Influence of surface relaxations on scanning probe microscopy images of the charge density wave material 2H-NbSe${}_2$
• $H$-linear magnetoresistance in NbSe${}_2$ due to impeded cyclotron motion
• Machine learning model for efficient nonthermal tuning of the charge density wave in monolayer NbSe${}_2$
• Multiband charge density wave exposed in a transition metal dichalcogenide