Incommensurate charge density wave on multiband intermetallic systems exhibiting competing orders

Abstract

The appearance of an incommensurate charge density wave vector $\text{Q}=(Q_x,Q_y)$ on multiband intermetallic systems presenting commensurate charge density wave (CDW) and superconductivity (SC) orders is investigated. We consider a two-band model in a square lattice, where the bands have distinct effective masses. The incommensurate CDW (inCDW) and CDW phases arise from an interband Coulomb repulsive interaction, while the SC emerges due to a local intraband attractive interaction. For simplicity, all the interactions, the order parameters and hybridization between bands are considered $\text{k}$-independent. The multiband systems that we are interested are intermetallic systems with a $d$-band coexisting with a large $c$-band, for which a mean-field approach has proved suitable. We obtain the eigenvalues and eigenvectors of the Hamiltonian numerically and minimize the free energy density with respect to the diverse parameters of the model by means of the Hellmann-Feynman theorem. We investigate the system in real as well as momentum space and we find an inCDW phase with wave vector $\text{Q}=(\pi ,Q_y)=(Q_x,\pi )$. Our numerical results show that the arising of an inCDW state depends on parameters, such as the magnitude of the inCDW and CDW interactions, band filling, hybridization and the relative depth of the bands. In general, inCDW tends to emerge at low temperatures, away from half-filling. We also show that, whether the CDW ordering is commensurate or incommensurate, large values of the relative depth between bands may suppress it. We discuss how each parameter of the model affects the emergence of an inCDW phase.

arXiv comment12 pages and 8 figures

References in corpus (46)

• Magnetic Order versus superconductivity in the Iron-based layered La(O1-xFx)FeAs systems
• Long-range incommensurate charge fluctuations in (Y,Nd)Ba2Cu3O(6+x)
• Direct observation of competition between superconductivity and charge density wave order in YBa2Cu3Oy
• Superconductivity in Cu_xTiSe_2
• Ubiquitous Interplay between Charge Ordering and High-Temperature Superconductivity in Cuprates
• Charge order driven by Fermi-arc instability in Bi2201
• Connection between charge-density-wave order and charge transport in the cuprate superconductors
• Distinct Charge Orders in the Planes and Chains of Ortho-III-Ordered YBa${}_2$Cu${}_3$O${}_{6+\delta }$ Superconductors Identified by Resonant Elastic X-ray Scattering
• Giant phonon anomalies and central peak due to charge density wave formation in YBa${}_2$Cu${}_3$O${}_{6.6}$
• Incipient charge order observed by NMR in the normal state of YBa2Cu3Oy
• Two energy gaps and Fermi surface 'arcs' in NbSe2
• Structural quantum criticality and superconductivity in iron-based superconductor Ba(Fe1-xCox)2As2
• Tuning the Charge Density Wave and Superconductivity in CuxTaS2
• Emergence of coherence in the charge-density wave state of 2H-NbSe${}_2$
• Superconductivity Induced by Bond Breaking in the Triangular Lattice of IrTe2
• Origin of superconductivity and latent charge density wave in NbS${}_2$
• Pressure-induced and Composition-induced Structural Quantum Phase Transition in the Cubic Superconductor (Sr/Ca)_3Ir_4Sn_{13}
• Structural phase transition in IrTe${}_2$: A combined study of optical spectroscopy and band structure calculations
• Structure and Anisotropic Properties of BaFe2-xNixAs2 (x = 0, 1, 2) Single Crystals
• Observation of a Charge Density Wave Incommensuration Near the Superconducting Dome in CuxTiSe2
• Superconductivity on the threshold of magnetism in CePd2Si2 and CeIn3
• Evolution of the Electronic Structure of 1T-CuxTiSe2
• Ambient Pressure Structural Quantum Critical Point in the Phase Diagram of (Ca${}_x$Sr${}_{1-x}$)${}_3$Rh${}_4$Sn${}_{13}$
• Quantum Monte Carlo and variational approaches to the Holstein model
• Giant Phonon Softening and Enhancement of Superconductivity by Phosphorus Doping of BaNi2As2
• An inelastic x-ray study of phonon broadening and charge density wave formation in ortho-II ordered YBa2Cu3O6.54
• Spectroscopic Evidence for Charge Order Melting via Quantum Fluctuations in a Cuprate
• The emergence of superconductivity in BaNi2(Ge1-xPx)2 at a structural instability
• Ca${}_3$Ir${}_4$Sn${}_{13}$: A weakly correlated nodeless superconductor
• Unconventional Charge Density Wave Order in the Pnictide Superconductor Ba(Ni${}_{1-x}$Co${}_x$)${}_2$As${}_2$
• Charge Order in NbSe${}_2$
• Phonon softening near structural transition in BaFe2As2 observed by inelastic x-ray scattering
• Composition-induced structural instability and strong-coupling superconductivity in Au1-xPdxTe2
• Nodeless superconductivity in Ca3Ir4Sn13: evidence from quasiparticle heat transport
• Temperature-filling phase diagram of the two-dimensional Holstein model in the thermodynamic limit by self-consistent Migdal approximation
• Superconducting and magnetic properties of Sr3Ir4Sn13
• Coexisting charge-ordered states with distinct driving mechanisms in monolayer VSe${}_2$
• Impurity-pinned incommensurate charge density wave and local phonon excitations in 2H-NbS2
• Neutron scattering study of soft phonons and diffuse scattering in insulating La${}_{1.95}$Sr${}_{0.05}$CuO${}_4$
• Competing Orderings in an Extended Falicov-Kimball Model
• The two-dimensional $t$-$t^{\prime }$ Holstein model
• A Two-band Model for p-wave Superconductivity
• Unveiling charge density wave quantum phase transitions by x-ray diffraction
• Interplay between charge density wave and superconductivity in multi-band systems with inter-band Coulomb interaction
• Soft phonons and structural phase transition in superconducting Ba0.59K0.41BiO3
• Magnetic impurities in a charge-ordered background