Nonadiabatic effects in the phonon spectra of superconductors

The nonadiabatic corrections to the self-energy part Σ_s(q, ω) of the phonon Green’s function are studied for various values of the phonon vectors q resulting from electron-phonon interactions. It is shown that the long-range electron-electron Coulomb interaction has no direct influence on these effects, aside from a possible renormalization of the corresponding constants. The electronic response functions and Σ_s(q, ω) are calculated for arbitrary vectors qand energy ω in the BCS approximation. The results obtained for q=0 agree with previously obtained results. It is shown that for large wave numbers q, vertex corrections are negligible and Σ_s(q, ω) possesses a logarithmic singularity at ω=2Δ, where Δ is the superconducting gap. It is also shown that in systems with nesting, Σ_s(Q, ω) (where Q is the nesting vector) possesses a square-root singularity at ω=2Δ, i.e., exactly of the same type as at q=0. The results are used to explain the recently published experimental data on phonon anomalies, observed in nickel borocarbides in the superconducting state, at large q. It is shown, specifically, that in these systems nesting must be taken into account in order to account for the emergence of a narrow additional line in the phonon spectral function S(q, ω)≈−π ⁻¹ Im D _s (q, ω), where D _s (q, ω) is the phonon Green’s function, at temperatures T<T _c . Zh. éksp. Teor. Fiz. 115, 1799–1817 (May 1999)     

On the power from phonon fluorescence in superconductors

A vibronic sideband spectrometer is used to detect phonons generated from phonon fluorescence in superconductors. Although previously projected phonon powers are just within the minimum detectivity, no sideband signals were observed. An interpretation of this result is given.     

Superconductivity-induced phonon self-energy effects in high-T c superconductors

The superconductivity-induced self-energy of phonons has been calculated in the lowest-order conserving approximation using conventional strong-coupling theory and also including scattering at nonmagnetic impurities. Results for the dependence of the shift and the width of phonons on temperature and scattering rates are presented and their sensitivity on the strength of the electron-phonon coupling and on impurities is pointed out. The theory is applied to optical data in YBa₂Cu₃O₇ using the experimental one-phonon density, the value ofT _c and [^*=0.25 as inputs. Neglecting anisotropies and the momentum dependence of the electron-phonon coupling the resulting strong-coupling model with 2.9 yields results which are in good agreement with the data, in particular, if impurity scattering is taken into account.     

LiFeAs超导体中磁性与声子软化

运用第一性原理密度泛函理论研究了铁基超导体LiFeAs的电子结构和声子谱.计算得到的LiFeAs基态具有涨落的条型反铁磁构型.通过比较LiFeAs在非磁态与条形反铁磁态下的声子态密度,发现,LiFeAs中各向异性自旋互作用的竞争产生了不稳定的自旋密度波和部分晶格位置弛豫,导致Fe和As原子振动模式的软化,从而提高电声子耦合强度.因此,自旋-声子互作用对非常规超导电性有重要贡献. 关键词： 铁基超导体 反铁磁序 超导电性 电声子耦合     

Robust two-gap strong coupling superconductivity associated with low-lying phonon modes in pressurized Nb_5Ir_3O superconductors

We report robust superconducting state and gap symmetry of Nb_5Ir_3O via electrical transport and specific heat measurements. The analysis of specific heat manifests that Nb_5Ir_3O is a strongly coupled superconductor with ?C/γ_nT_c ～ 1.91 and double s-wave superconducting gaps of 2?_L(0)/k_BT_c ～ 6.56 and 2?_S(0)/k_BT_c ～ 2.36 accounting for 90% and 10%,respectively. The(Cp-γnT)/T~3 vs. T plot shows a broad peak at ~ 23 K, indicating phonon softening and the appearance of low-lying phonon mode associated with the interstitial oxygen. This behavior explains the monotonic increase of Tc in Nb_5Ir_3O(1-δ)by strengthening the electron–phonon coupling and enlarging the density of states at Fermi level. The Hall coefficient is temperature independent below 200 K, and changes its sign from positive to negative above 250 K, suggesting that carrier is across the hole-to electron-dominant regions and the multi-band electronic structures. On warming, the resistivity shows a gradual crossover from T~2-to T~3-dependence at a critical temperature T*, and a broad peak at a temperature T_p. The reduced T_c under pressure is linearly correlated with lattice parameters c/a ratio and T_p, suggesting the important phonon contributions in Nb_5Ir_3O as a phonon-medicated superconductor. Possible physical mechanisms are proposed.     

纳米晶锐钛矿相TiO2的非简谐效应和声子局域

对晶粒尺寸为19.4,8.6和5.6 nm的纳米晶锐钛矿相TiO2,进行了从83到723 K的变温拉曼散射测量,并对Eg(1)模式进行了详细研究.根据非简谐效应和声子局域模型,对Eg(1)拉曼峰进行了拟合与计算.结果表明,以上三种纳米晶粒的晶格振动机理,在本质上是相同的.三声子过程对频率蓝移起主要作用.为了得到很好的拟合,需要同时考虑三声子和四声子过程.随着温度的升高,四声子过程增强,并对三声子过程起抵消作用.与非简谐衰减相关的声子寿命随着晶粒尺寸的减小而增加,晶粒尺寸越小衰减越慢.在低温区,声子局域是导致5.6 nm晶粒的声子寿命非常短的原因.声子局域引起Eg(1)模式在高波数段非对称展宽和频率蓝移,其对Eg(1)峰展宽的影响要大于对峰位移动的影响.     

First-principle calculation for the phonon structure on iron-based superconductors

We perform first-principle phonon calculations for three typical iron-based superconductors, i.e., LaFeAsO,BaFe₂As₂, and FeSe. Though those crystals have different structures, we find that the optical modes associated with Fe vibration have almost similar characters. Moreover, we examine the pressure effect on phonons in FeSe. By increasing the external pressure, the phonon mode frequency related to Fe vibration effectively rises up and the electronic density of states at Fermi level also increases. These results may correlate to the critical temperature enhancement under high pressure.     

Electron-phonon coupling and phonon generation in normal-metal microbridges

The second derivative of current—voltage characteristic, $\text{d}{}^2\text{I}\text{d}\text{V}{}^2$, of a small orifice connecting two pieces of normal metals is shown to be proportional to the function $\text{G(ω) =}\text{α}\text{?}{}^2\text{(ω)F(ω)}$ at ω = eV, where F(ω) is the phonon density of states, and α&#x0303;² (ω) the square of the electron—phonon matrix element averaged over the Fermi surface and multiplied by the additional structure factor taking into account the geometry of the orifice. The constriction is shown to work, in a current-carrying state, as a source of non-equilibrium phonons emitted in the immediate vicinity of the orifice.     

Wave-vector dependence of electron-optical phonon coupling in GaAs

Induced non equilibrium distribution of optical phonons allows direct measurement of electron-phonon coupling as a function of phonon wave-vector K. Results indicate that near K=0(K<20, 000 cm^?1 coupling between TO phonons and electrons is independent of K whereas LO phonons show a K^-2 dependence. Results also suggest that electron relaxation in the conduction band by multiple phonon production is quite significant.     

Spin phonon coupling in hexagonal multiferroic YMnO3

Inelastic neutron scattering measurements have been performed on YMnO3, aiming to study the interplay between spin and lattice degrees of freedom in this hexagonal multiferroic material. Our study provides evidence for a strong coupling between magnons and phonons, evidenced by the opening of a gap below T(N) in the dispersion of the transverse acoustic phonon mode polarized along the ferroelectric axis. The resulting upper phonon branch is found to lock on one of the spin-wave modes. These findings are discussed in terms of a possible hybridization between the two types of elementary excitations.     

纳米晶锐钛矿相TiO2的非简谐效应和声子局域

对晶粒尺寸为194,86和56nm的纳米晶锐钛矿相TiO₂,进行了从83到723K的变温拉曼散射测量,并对E_g(1)模式进行了详细研究.根据非简谐效应和声子局域模型,对E_g(1)拉曼峰进行了拟合与计算.结果表明,以上三种纳米晶粒的晶格振动机理,在本质上是相同的.三声子过程对频率蓝移起主要作用.为了得到很好的拟合,需要同时考虑三声子和四声子过程.随着温度的升高,四声子过程增强,并对三声子过程起抵消作用.与非简谐衰减相关的声子寿命随着晶粒 关键词： 2')" href="#">纳米晶TiO₂ 拉曼散射 非简谐耦合 声子局域     

The “phonon deficit” effect in superconductors induced by UHF radiation

It is shown that a superconducting film irradiated by a microwave field should absorb the phonons from the external medium (substrate) in a certain spectral range.     

Non equilibrium phonon distribution and electron-phonon coupling in semiconductors

A comparison is made for different semiconductors, of the non equilibrium phonon distributions induced by photon absorption. It is found that energetic carriers create preferentially LO-phonons for GaAs where Fröhlich type interaction dominates. For Si and the intermediate case of InSb the energetic carriers still relax through optical phonons. For InSb LO- and TO-phonons participate in the same proportion. Highest phonon temperatures are obtained in the layer semiconductor GaSe.     

Thermodynamics of layered strong coupling superconductors

Using the full Eliashberg equations valid for layered compounds, we calculate the effect of various simple anisotropy models on the critical temperature and thermodynamic properties. The changes introduced by the layered structure can be large, but become less significant as the coupling is increased.     

Finite frequency ultrasonic attenuation in strong coupling superconductors

For sound frequencies greater than twice the value of the superconducting energy gap it becomes possible to dissipate energy by breaking Cooper pairs. This mechanism is in addition to the usual damping from coupling to the thermally excited quasiparticles. B.C.S. theory predicts a finite discontinuous jump at twice the gap. In a strong coupling superconductor the jump is smeared out because the quasiparticles themselves have a finite lifetime. We have investigated the magnitude of this smearing illustrating the general theory by an explicit calculation for the case of Hg.     

Vortex displacement and elastic coupling in layered superconductors

The effect of the elastic coupling on the penetration depth in ac magnetic field and on the magnetic permeability in layered superconductors is studied. The results obtained show that λ and μ become functions on the coordinate oriented in the magnetic field direction. In addition, the average permeability increases with the increase of the ratio between of the layer thickness and the elastic coupling depths, and decreases with the increase of the ratio between the elastic coupling depths of the two coupled superconductors.     

Electron phonon systems from weak to strong coupling

Electron and phonon spectra are derived for an electron-phonon system coupled by the Fröhlich interaction. We cover the range from small coupling <1 to large coupling 1 for a commensurate filling of the bare band. The evolution of the Migdal solution into a charge density wave and finally into a regular lattice of small polarons is studied.