Intraband optical spectral weight in the presence of a van Hove singularity: Application to Bi 2 Sr 2 CaCu 2 O 8+δ
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Citations
Revealing the high-energy electronic excitations underlying the onset of high-temperature superconductivity in cuprates.
Direct role of structural dynamics in electron-lattice coupling of superconducting cuprates.
Photo-enhanced antinodal conductivity in the pseudogap state of high- T c cuprates
Optical integral in the cuprates and the question of sum rule violation.
Dipole matrix element approach versus Peierls approximation for optical conductivity
References
The in-plane electrodynamics of the superconductivity in Bi2Sr2CaCu2O8+d: energy scales and spectral weight distribution
Superconductive state of Cu-O metals
Temperature Dependence of the Optical Spectral Weight in the Cuprates: Role of Electron Correlations
Phase-fluctuation-induced reduction of the kinetic energy at the superconducting transition
Ward identity and optical-conductivity sum rule in the d-density wave state
Related Papers (5)
Superconductivity-Induced Transfer of In-Plane Spectral Weight in Bi2Sr2CaCu2O8+δ
Frequently Asked Questions (13)
Q2. What is the spectral weight of a tight-binding band?
Since the optical spectral weight is just the negative of the kinetic energy for a single band with nearest-neighbor hopping only, a decrease in spectral weight is expected to occur below the superconducting transition temperature.
Q3. What is the kinetic energy of the d-wave symmetry?
For an order parameter with d-wave symmetry, the momentum distribution is no longer a function of the band structure energy k alone.
Q4. What is the simplest way to determine the chemical potential?
In the normal state this expression reduces to the simple Fermi function; even above Tc, however, iteration for the correct value of the chemical potential is required.
Q5. What is the band structure for nearest-neighbor hopping?
For nearest-neighbor hopping only, the band structure is given byk nn = − 2t cos kx + cos ky 3and the authors have that 2W=− K in two dimensions.
Q6. What is the spectral weight of the n-body?
Using t =0.10 eV, for example, would result in a very narrow range of electron densities for which the optical spectral weight has behavior opposite to that of the negative of the kinetic energy see Fig. 5, blue dashed curves .
Q7. How can one apply the Sommerfeld expansion to W T?
If one defines the quantitygxx 1Nk 2 k kx 2 − k , 10then the Sommerfeld expansion can be applied to W T as was done for the kinetic energy.
Q8. What is the spectral weight of the van Hove singularity?
This moves the van Hove singularity away from half filling and also causes the spectral weight to deviate from the kinetic energy; hence, both will be plotted in the ensuing plots.
Q9. What is the spectral weight in the superconducting state?
The remarkable feature in Fig. 4 a , for electron densities below the van Hove singularity, is that the spectral weight change in the superconducting state is positive.
Q10. What is the doping dependence of the optical spectral weight?
In Fig. 8 the doping dependence of the optical spectral weight slope is shown as a function of electron concentration n for the hole-doped region with respect to half-filling .
Q11. What is the impact of the correlation effects on the spectral weight?
This has a significant impact on the interpretation of experimental results, as doping dependence due to correlation effects, for instance, would have to be separated out either experimentally or theoretically.
Q12. What is the slope of the spectral weight anomaly?
The corresponding slope above Tc would, however, be inconsistent with experi-ment not shown , but the slope is a purely normal-state property and, like all other normal state properties, undoubtedly requires electron correlations for a proper understanding.
Q13. What is the kinetic energy of the electrons in the given tightbinding band?
Note that this is not the total kinetic energy of all the electrons, but just the kinetic energy of the electrons in the given tightbinding band s ; furthermore, only in the case of nearestneighbor hopping is W proportional to − K .