A Theoretical Study of Doping Evolution of Phonons in High-Temperature Cuprate Superconductors

Abstract

Hole-doped high-temperature copper oxide-based superconductors (cuprates) exhibit complex phase diagrams where electronic orders like a charge density wave (CDW) and superconductivity (SC) appear at low temperatures. The origins of these electronic orders are still open questions due to their complex interplay and correlated nature. These electronic orders can modify the phonons in the system, which has also been experimentally found in several cuprates as a softening in the phonon frequency at the CDW vector. Recent experiments have revealed that the softening in phonons in cuprates due to CDW shows intriguing behavior with increasing hole doping. Hole doping can also change the underlying Fermi surface. Therefore, it is an interesting question whether the doping-induced change in the Fermi surface can affect the softening of phonons, which in turn can reveal the nature of the electronic orders present in the system. In this work, we investigate this question by studying the softening of phonons in the presence of CDW and SC within a perturbative approach developed in an earlier work. We compare the results obtained within the working model to some experiments.

arXiv commentTo be published in MDPI Condensed Matter

References in corpus (36)

• Long-range incommensurate charge fluctuations in (Y,Nd)Ba2Cu3O(6+x)
• Theory of Intertwined Orders in High Temperature Superconductors
• A Four-Unit-Cell Periodic Pattern of Quasiparticle States Surrounding Vortex Cores in Bi2Sr2CaCu2O8+d
• Ubiquitous Interplay between Charge Ordering and High-Temperature Superconductivity in Cuprates
• Charge order driven by Fermi-arc instability in Bi2201
• Magnetic order in the pseudogap phase of high-$T_C$ superconductors
• Stripe phases in high-temperature superconductors
• Electron-phonon coupling reflecting dynamic charge inhomogeneity in copper-oxide superconductors
• From a single-band metal to a high-temperature superconductor via two thermal phase transitions
• From a single-band metal to a high-temperature superconductor via two thermal phase transitions (Supporting Material)
• Giant phonon anomalies and central peak due to charge density wave formation in YBa${}_2$Cu${}_3$O${}_{6.6}$
• Pseudogap state from quantum criticality
• Anisotropic electron-phonon interaction in the cuprates
• Doping Evolution of the Underlying Fermi Surface in La2-xSrxCuO4
• Charge-density-wave order with momentum $(2Q,0)$ and $(0,2Q)$ within the spin-fermion model: continuous and discrete symmetry breaking, preemptive composite order, and relation to pseudogap in hole-doped cuprates
• Dynamical charge density fluctuations pervading the phase diagram of a Cu-based high-Tc superconductor
• Doping Dependent Density of States and Pseudogap Behavior in La2-xSrxCuO4
• Re-entrant charge order in overdoped (Bi,Pb)${}_{2.12}$Sr${}_{1.88}$CuO${}_{6+\delta }$ outside the pseudogap regime
• Effect of the magnetic resonance on the electronic spectra of high Tc superconductors
• Observation of two types of charge density wave orders in superconducting La${}_{2-x}$Sr${}_x$CuO${}_4$
• Intimate link between Charge Density Wave, Pseudogap and Superconducting Energy Scales in Cuprates
• The change of Fermi surface topology in Bi2Sr2CaCu2O8 with doping
• Spectroscopic Evidence for Charge Order Melting via Quantum Fluctuations in a Cuprate
• Nature of the charge-density wave excitations in cuprates
• Fractionalized pair density wave in the pseudo-gap phase of cuprate superconductors
• Signature of quantum criticality in cuprates by charge density fluctuations
• Differentiated roles of Lifshitz transition on thermodynamics and superconductivity in La2-xSrxCuO4
• Charge Order Lock-in by Electron-Phonon Coupling in La${}_{1.675}$Eu${}_{0.2}$Sr${}_{0.125}$CuO${}_4$
• Fate of charge order in overdoped La-based cuprates
• Prevailing charge order in overdoped cuprates beyond the superconducting dome
• Identification of a Critical Doping for Charge Order Phenomena in Bi-2212 Cuprates via RIXS
• Odd-frequency pair density wave correlations in underdoped cuprates
• Fluctuations and Higgs mechanism in Under-Doped Cuprates: a Review
• Anomalous softening of phonon-dispersion in cuprate superconductors
• Electronic spectral function in fractionalized Pair Density Wave scenario
• Incipient loop current order in the under-doped cuprate superconductors

Cited by in corpus (2)

• Correlation between optical phonon softening and superconducting $T_c$ in YBa${}_2$Cu${}_3$O${}_x$ within $d$-wave Eliashberg theory
• Constrains on s and d components of electron boson coupling constants in one band d wave Eliashberg theory for high Tc superconductors