Origin of Charge Density Wave in Topological Semimetals SrAl4 and EuAl4

Topological semimetals in BaAl4-type structure have shown many interesting behaviors, such as charge density wave (CDW) in SrAl4 and EuAl4, but not the isostructural and isovalent BaAl4, SrGa4 and BaGa4, although they all host Dirac points and nodal line Dirac-like dispersion. Here using Wannier functions based on density functional theory, we have calculated the susceptibility functions with millions of k-points to reach the small q-vector and study the origin and driving force behind the CDW. Our comparative study reveals that the origin of the CDW in SrAl4 and EuAl4 is the strong electron-phonon coupling interaction for the transverse acoustic mode at small q-vector along the {\Gamma}-Z direction besides the maximum of the real part of the susceptibility function from the nested Fermi surfaces of the Dirac-like bands, which explains well the absence of CDW in the other three closely related compounds in a good agreement with experiment.Comment: 20 pages, 5 figure

Imaginary phonon modes and phonon-mediated superconductivity in Y2C3

For Y$_2$C$_3$ with a superconducting critical temperature (T$_c$) $\sim$18 K, zone-center imaginary optical phonon modes have been found for the high-symmetry $I$-$43d$ structure due to C dimer wobbling motion and electronic instability from a flat band near Fermi energy. After lattice distortion to the more stable lowest symmetry $P1$ structure, these stabilized low-energy phonon modes with mixed C and Y characters carry a strong electron-phonon coupling to give arise to the observed sizable T$_c$. Our work shows that compounds with the calculated dynamical instability should not be simply excluded in high-throughput search for new phonon-mediated superconductors.Comment: 6 pages, 4 figures and 1 tabl

Constraint-based Wavevector- and Frequency-dependent Exchange-Correlation Kernel of the Uniform Electron Gas

According to time-dependent density functional theory, the exact exchange-correlation kernel f$_{xc}$(n, q, $\omega$) determines not only the ground-state energy but also the excited-state energies/lifetimes and time-dependent linear density response of an electron gas of uniform density n $=$ 3/(4$\pi$r$^3_s$). Here we propose a parametrization of this function based upon the satisfaction of exact constraints. For the static ($\omega$ = 0) limit, we modify the model of Constantin and Pitarke at small wavevector q to recover the known second-order gradient expansion, plus other changes. For all frequencies $\omega$ at q $=$ 0, we use the model of Gross, Kohn, and Iwamoto. A Cauchy integral extends this model to complex $\omega$ and implies the standard Kramers-Kronig relations. A scaling relation permits closed forms for not only the imaginary but also the real part of f$_{xc}$ for real $\omega$. We then combine these ingredients by damping out the $\omega$ dependence at large q in the same way that the q dependence is damped. Away from q $=$ 0 and $\omega$ $=$ 0, the correlation contribution to the kernel becomes dominant over exchange, even at r$_s$ $=$ 4, the valence electron density of metallic sodium. The resulting correlation energy from integration over imaginary $\omega$ is essentially exact. The plasmon pole of the density response function is found by analytic continuation of f$_{xc}$ to $\omega$ just below the real axis, and the resulting plasmon lifetime first decreases from infinity and then increases as q grows from 0 toward the electron-hole continuum. A static charge-density wave is found for r$_s$ $>$ 69, and shown to be associated with softening of the plasmon mode. The exchange-only version of our static kernel confirms Overhauser's 1968 prediction that correlation enhances the charge-density wave.Comment: 20 pages including 11 figure

Stretched or noded orbital densities and self-interaction correction in density functional theory

Semilocal approximations to the density functional for the exchange-correlation energy of a many-electron system necessarily fail for lobed one-electron densities, including not only the familiar stretched densities but also the less familiar but closely related noded ones. The Perdew-Zunger (PZ) self-interaction correction (SIC) to a semilocal approximation makes that approximation exact for all one-electron ground- or excited-state densities and accurate for stretched bonds. When the minimization of the PZ total energy is made over real localized orbitals, the orbital densities can be noded, leading to energy errors in many-electron systems. Minimization over complex localized orbitals yields nodeless orbital densities, which reduce but typically do not eliminate the SIC errors of atomization energies. Other errors of PZ SIC remain, attributable to the loss of the exact constraints and appropriate norms that the semilocal approximations satisfy, suggesting the need for a generalized SIC. These conclusions are supported by calculations for one-electron densities and for many-electron molecules. While PZ SIC raises and improves the energy barriers of standard generalized gradient approximations (GGAs) and meta-GGAs, it reduces and often worsens the atomization energies of molecules. Thus, PZ SIC raises the energy more as the nodality of the valence localized orbitals increases from atoms to molecules to transition states. PZ SIC is applied here, in particular, to the strongly constrained and appropriately normed (SCAN) meta-GGA, for which the correlation part is already self-interaction-free. This property makes SCAN a natural first candidate for a generalized SIC. Published under license by AIP Publishing.Peer reviewe

Progress towards understanding ultranonlocality through the wave-vector and frequency dependence of approximate exchange-correlation kernels

In the framework of time-dependent density functional theory (TDDFT), the exact exchange-correlation (xc) kernel fxc(n,q,ω) determines the ground-state energy, excited-state energies, lifetimes, and the time-dependent linear density response of any many-electron system. The recently developed MCP07 xc kernel fxc(n,q,ω) of Ruzsinszky et al. [Phys. Rev. B 101, 245135 (2020)] yields excellent uniform electron gas (UEG) ground-state energies and plausible plasmon lifetimes. As MCP07 is constructed to describe fxc of the UEG, it cannot capture optical properties of real materials. To verify this claim, we follow Nazarov et al. [Phys. Rev. Lett. 102, 113001 (2009)] to construct the long-range, dynamic xc kernel, limq→0fxc(n,q,ω)=−α(ω)e2/q2, of a weakly inhomogeneous electron gas, using MCP07 and other common xc kernels. The strong wave-vector and frequency dependence of the “ultranonlocality” coefficient α(ω) is demonstrated for a variety of simple metals and semiconductors. We examine how imposing exact constraints on an approximate kernel shapes α(ω). Comparisons to kernels derived from correlated-wave-function calculations are drawn.The authors acknowledge support from the U.S. National Science Foundation under Grant No. DMR-1553022. A.D.K. acknowledges support from the U.S. Department of Energy, Basic Energy Sciences, through the Energy Frontier Research Center for Complex Materials from First Principles Grant No. DE-SC0012575; and Temple University.Peer reviewe

Regulation of Contractile Proteins and Protein Translational Signaling in Disused Muscle

Background/Aims: Muscle disuse can lead to muscle atrophy and impaired skeletal muscle function. How skeletal muscle modulates protein translational signaling in response to prolonged muscle disuse is not well understood. Using the hindlimb unloading (HU) model of muscle atrophy we examined how hindlimb unweighting affects protein translational signaling, including the activation of Akt/mTOR/p70S6K/S6 signaling and the inhibitory association of 4EBP1 with translation initiation factor eIF4E. Methods: Male F344BN rats were randomized into baseline control, or subjected to HU for 3, 7 or 14 days. Body weight, gastrocnemius muscle, and individual myofiber cross-sectional area were measured to evaluate the degree of muscle atrophy. The amounts of myosin and related muscle contractile proteins were assessed using SDS-PAGE and immunoblotting. Microarray analysis was used to evaluate changes in the mRNA expression of muscle contractile proteins. Total and phosphorylated proteins of Akt/mTOR/p70S6K/S6 pathway were determined via immunoblotting, while the association of 4EBP1 with eIF4E was detected via co-immunoprecipitation. Results: Unloading for 3 days significantly reduced cytosolic myosin content and was associated with increased binding of 4EBP1 to eIF4E, while prolonged unloading (14 days) was associated with the activation of Akt/mTOR/p70S6K/S6 signaling, decreased binding of 4EBP1 to eIF4E, increased cytosolic myosin and elevations in myofibrillar mRNA levels. Conclusion: Taken together, these data suggest that prolonged muscle disuse induces a biphasic translational signaling response that is associated with diminished and then increased muscle contractile protein expression