Abstract:We present a theoretical study of the structure and functionality of ferroelastic domain walls in tungsten trioxide, WO 3. WO 3 has a rich structural phase diagram, with the stability and properties of the various structural phases strongly affected both by temperature and by electron doping. The existence of superconductivity is of particular interest, with the underlying mechanism as of now not well understood. In addition, reports of enhanced superconductivity at structural domain walls are particularly int… Show more
“…The result indicates that the difference in λ between WO RBA− 3 and NaWO RBA+ 3 is very small. λ increase with decreasing x, which is roughly similar to the result obtained by Mascello et al 28) The figure also shows that −µ * increases with decreasing x, and its rate of change is almost the same as that of λ. This means that the plasmon effect described by µ * plays as important role in the superconductivity of Na x WO 3 as the phononmediated attraction described by λ.…”
Using first-principles calculations, we examine the transition temperature T c of superconductivity in sodium tungsten bronze ( Na x WO 3 , where x is equal to or less than unity ). Although T c is relatively low T c ( < ∼ 3K), it is interesting that its characteristic exponential dependence on x has been experimentally observed at 0.2 < ∼ x < ∼ 0.4. On the basis of the McMillan equation for T c including the effect of plasmons, we succeed in reproducing the absolute values of T c and its x dependence. We also find that the plasmon effect is crucial for the estimation of T c as well as phonons. Since the calculated T c may not exceed ∼ 20 K even for x < ∼ 0.1, the superconductivity at a low T c can be interpreted by the usual phonon mechanism, including the plasmon effect. On the other hand, a high T c up to about 90 K, which is found on the surface of a Na x WO 3 system at x ∼ 0.05 by recent experiments, cannot be explained by our results. This discrepancy suggests that another mechanism is required to clarify the nature of the high-T c superconductivity of Na x WO 3 .
“…The result indicates that the difference in λ between WO RBA− 3 and NaWO RBA+ 3 is very small. λ increase with decreasing x, which is roughly similar to the result obtained by Mascello et al 28) The figure also shows that −µ * increases with decreasing x, and its rate of change is almost the same as that of λ. This means that the plasmon effect described by µ * plays as important role in the superconductivity of Na x WO 3 as the phononmediated attraction described by λ.…”
Using first-principles calculations, we examine the transition temperature T c of superconductivity in sodium tungsten bronze ( Na x WO 3 , where x is equal to or less than unity ). Although T c is relatively low T c ( < ∼ 3K), it is interesting that its characteristic exponential dependence on x has been experimentally observed at 0.2 < ∼ x < ∼ 0.4. On the basis of the McMillan equation for T c including the effect of plasmons, we succeed in reproducing the absolute values of T c and its x dependence. We also find that the plasmon effect is crucial for the estimation of T c as well as phonons. Since the calculated T c may not exceed ∼ 20 K even for x < ∼ 0.1, the superconductivity at a low T c can be interpreted by the usual phonon mechanism, including the plasmon effect. On the other hand, a high T c up to about 90 K, which is found on the surface of a Na x WO 3 system at x ∼ 0.05 by recent experiments, cannot be explained by our results. This discrepancy suggests that another mechanism is required to clarify the nature of the high-T c superconductivity of Na x WO 3 .
“…In a broader context, energy fluctuations are ubiquitous at quantum critical points, and may thus play a role in electron pairing in many settings. One instance is the case of superconductivity occurring close to a nonpolar structural transition, driven by a phonon at a high-symmetry point, exemplified by tungsten bronze [60][61][62] and the A15 compounds 63 . As in a polar metal, the critical phonon decouples from electrons at low momenta, raising the intriguing possibility of energy-fluctuation pairing.…”
Superconductivity in low carrier density metals challenges the conventional electron-phonon theory due to the absence of retardation required to overcome Coulomb repulsion. Here we demonstrate that pairing mediated by energy fluctuations, ubiquitously present close to continuous phase transitions, occurs in dilute quantum critical polar metals and results in a dome-like dependence of the superconducting Tc on carrier density, characteristic of non-BCS superconductors. In quantum critical polar metals, the Coulomb repulsion is heavily screened, while the critical transverse optical phonons decouple from the electron charge. In the resulting vacuum, long-range attractive interactions emerge from the energy fluctuations of the critical phonons, resembling the gravitational interactions of a chargeless dark matter universe. Our estimates show that this mechanism may explain the critical temperatures observed in doped SrTiO3. We provide predictions for the enhancement of superconductivity near polar quantum criticality in two- and three-dimensional materials that can be used to test our theory.
“…[50][51][52] Similarly, the presence of domain boundaries in ferroelastic materials like BiVO 4 and WO 3 signies their importance in photocatalysis, despite being centrosymmetric in the bulk. [53][54][55] In complex domain patterns their polarity almost cancels out; however a small bias/exoelectric effect can induce a local polar nature. On a rough ferroelastic surface, local surface steps break the macroscopic inversion symmetry and on nucleation the surface produces a net polarization density despite the bulk continues to remain strictly non-polar.…”
The significance of ferroelectric and ferroelastic materials physico-chemistry is summarized and detailed for various photocatalytic reactions, followed by an outlook on future advancements.
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