Crystal Dynamics of Lead. I. Dispersion Curves at 100°K

Brockhouse, B. N.; Arase, T.; Caglioti, G.; Rao, K. R.; Woods, A. D. B.

doi:10.1103/physrev.128.1099

Cited by 310 publications

(104 citation statements)

References 12 publications

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“…(If the lattice parameter 4.92 Å determined experimentally at low temperature is used instead, the results are not affected outside these numerical confidence limits.) The calculated phonon frequencies agree with the experimentally determined phonon frequencies [3,4] within the published error bars. For selected k points, we recalculated the phonon energies and linewidths using Savrasov's full potential linear muffin-tin orbitals program [1] and found very good agreement.…”

Section: Prl 96 225501 (2006) P H Y S I C a L R E V I E W L E T T E supporting

confidence: 80%

“…We employed ultrasoft pseudopotentials [22], with scalar-relativistic corrections and a plane-wave basis set [23], with a cutoff energy of 40 Ry. The k-space integration was approximated with a 12 3 Monkhorst-Pack grid [24] using a smearing parameter [25] of 0.06 Ry for the self-consistent cycles and phonon calculations and with a much denser 36 3 mesh and a Gaussian smearing of 0.04 Ry for the calculation of the linewidths. With these parameters and the numerically optimized lattice parameter of 4.95 Å , the phonon frequencies were converged to 0.1 meV and the linewidths to 0:025 eV.…”

Section: Prl 96 225501 (2006) P H Y S I C a L R E V I E W L E T T E mentioning

confidence: 99%

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Momentum-Resolved Electron-Phonon Interaction in Lead Determined by Neutron Resonance Spin-Echo Spectroscopy

et al. 2006

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Neutron resonance spin-echo spectroscopy was used to monitor the temperature evolution of the linewidths of transverse acoustic phonons in lead across the superconducting transition temperature T c over an extended range of the Brillouin zone. For phonons with energies below the superconducting energy gap, a linewidth reduction of maximum amplitude 6 eV was observed below T c . The electronphonon contribution to the phonon lifetime extracted from these data is in satisfactory overall agreement with ab initio lattice-dynamical calculations, but significant deviations are found. DOI: 10.1103/PhysRevLett.96.225501 PACS numbers: 63.20.Kr, 61.12.Ex, 74.25.Kc, 74.70.Ad The electron-phonon interaction is the major limiting factor for electronic transport phenomena in metals at elevated temperatures, and it is responsible for most instances of superconductivity. For metallic and superconducting elements [1] and binary compounds such as MgB 2 [2], modern ab initio calculations yield accurate predictions for the electron-phonon coupling parameters of every phonon over the entire Brillouin zone (BZ). An active area of research is aimed at a realistic description of electronlattice interactions in complex compounds with strong electronic correlations. Yet only rudimentary experimental tests of these calculations have thus far proven possible. For instance, electronic transport or tunneling experiments probe weighted averages of the electron-phonon interaction over the entire phonon spectrum. Optical spectroscopy is capable of probing the lifetimes of individual phonons limited by scattering from electrons, but kinematics constrains these experiments to a single point in momentum space. Here we use a new neutron spectroscopy method with an energy resolution in the eV range (that is, about 2 orders of magnitude better than that of standard neutron spectroscopy) to determine the electron-phonon lifetime of an individual acoustic phonon in lead over an extended range of the BZ. The results are compared to ab initio lattice-dynamical calculations also reported here. Our experiment constitutes the first detailed test of modern calculations of the electron-phonon interaction and opens up a new avenue for a quantitative understanding of electronphonon interactions and superconductivity in solids.Since the 1950s, triple-axis spectrometry (TAS) with neutrons (and, recently, x rays) has been the method of choice to experimentally determine the energy-and momentum-resolved phonon spectra of solids. Briefly, the energies and momenta of the incoming and scattered neutrons are selected by crystal monochromators, and their difference yields the phonon dispersion relation. The monochromaticity of the beam is thus coupled to the beam divergence, which can be restricted only at the expense of beam intensity. This implies that energy resolutions significantly better than 10% are impractical to achieve under almost all circumstances. Since the electron-phonon interaction leads to a phonon linewidth broadening of typically less than 1%, TAS ...

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Section: Prl 96 225501 (2006) P H Y S I C a L R E V I E W L E T T E supporting

confidence: 80%

Section: Prl 96 225501 (2006) P H Y S I C a L R E V I E W L E T T E mentioning

confidence: 99%

Momentum-Resolved Electron-Phonon Interaction in Lead Determined by Neutron Resonance Spin-Echo Spectroscopy

et al. 2006

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“…The effect appears to be more multiplicative in nature than additive, and it has a periodic dependence on reciprocal lattice positione The greatest effect occurs in the [11]] L data, where the difference is greater than 100% near the (111) reciprocal lattice point. As a whole, the percent differences cover the range from about 10% to 60%.…”

Section: Windowementioning

confidence: 97%

“…The purpose of the presedt work is the measurement in the [1001 and [lll] directions of the TDS from lead single crystals, and comparison with the expected intensity cal culated from the dispersion relations for lead deter- (11,12) mined by means of slow neutronso The use of the known dispersion relations allows a calculation of the (5) higher order scattering better than that due to Walker, and it is hoped that this comparison will help to clarify the nature of the problems involved in analyzing TDS x-rays is complicated by the fact that not all of the scattering is of the first order, and any small anomalies could be lost in the statistical scatter of the datao / -However, by far the greatest problem is the existence of small powder peaks, which makes it very difficult to select the true Kohn anomalies. One previous search for Kohn anomalies in lead by means of TDS was reported in 1962 .…”

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confidence: 99%

A study of thermal diffuse x-ray scattering from lead

Schuster¹

1969

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“…The common practice [8] is to take information concerning the phonons from experiment as input into the theory for the electrons. The justification for this comes from experiment, where well-defined phonons are observed in neutron scattering experiments [9], for example. Since these are used in the theory for the electron properties, it would be incorrect to compute renormalizations for the phonons.…”

Section: Introductionmentioning

confidence: 99%

Self-consistent modification to the electron density of states due to electron-phonon coupling in metals

Doğan

Marsiglio

2003

Phys. Rev. B

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The "standard" theory of a normal metal consists of an effective electron band which interacts with phonons and impurities. The effects due to the electron-phonon interaction are often delineated within the Migdal approximation; the properties of many simple metals are reasonably well described with such a description. On the other hand, if the electron-phonon interaction is sufficiently strong, a polaron approach is more appropriate. The purpose of this paper is to examine to what degree the Migdal approximation is self-consistent, as the coupling strength increases. We find that changes in the electron density of states become significant for very large values of the coupling strength; however, there is no critical value, nor even a crossover regime where the Migdal approximation has become inconsistent. Moreover, the extent to which the electron band collapses is strongly dependent on the detailed characteristics of the phonon spectrum.

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Crystal Dynamics of Lead. I. Dispersion Curves at 100°K

Cited by 310 publications

References 12 publications

Momentum-Resolved Electron-Phonon Interaction in Lead Determined by Neutron Resonance Spin-Echo Spectroscopy

Momentum-Resolved Electron-Phonon Interaction in Lead Determined by Neutron Resonance Spin-Echo Spectroscopy

A study of thermal diffuse x-ray scattering from lead

Self-consistent modification to the electron density of states due to electron-phonon coupling in metals

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