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    Pressure-tunable structural instabilities in single-layer-trilayer La3_3Ni2_2O7_7

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    Layered nickelates are believed to exhibit superconductivity similar to that found in the cuprates. However, the precise crystal structure of the superconducting phase of the layered nickelates has not been fully clarified. Here, I use first principles calculations to study the pressure dependence of the structural instabilities in the single-layer-trilayer La3_3Ni2_2O7_7, which is one member of the layered nickelates family that also shows signatures of superconductivity. I find a nearly dispersionless nondegenerate phonon branch in the parent P4/mmmP4/mmm phase that is unstable along the Brillouin zone edge MM (12,12,0)(\frac{1}{2}, \frac{1}{2}, 0) \rightarrow AA (12,12,12)(\frac{1}{2},\frac{1}{2},\frac{1}{2}) at all investigated pressures up to 30 GPa. Calculations show additional doubly-degenerate instabilities along the edge MAMA at lower pressures. I used group-theoretical analysis to identify the distinct low-symmetry distortions possible due to these instabilities and generated them using the eigenvectors of the unstable modes. Structural relaxations show that the lowest energy structures at 0 and 10 GPa involve condensation of both the nondegenerate and doubly-degenerate instabilities, which is in contrast to the experimental refinements that involve condensation of only the doubly-degenerate branch. I also find that structural distortions are energetically favorable at 20 GPa, contrary to the experiments that do not observe any distortions of the parent P4/mmmP4/mmm structure at high pressures

    Possible structural quantum criticality tuned by rare-earth ion substitution in infinite-layer nickelates

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    I show the infinite-layer rare-earth nickelates are near a structural quantum critical point by mapping the energetics of their structural instabilities using first priniciples calculations. I first confirm previous results that show a phonon instability in the P4/mmmP4/mmm phase leading to the I4/mcmI4/mcm structure for RRNiO2_2 with RR = Sm--Lu. I then study the non-spin-polarized phonon dispersions of the I4/mcmI4/mcm phase and find that they exhibit rare-earth size dependent instabilities at the XX and MM points for materials with RR = Eu--Lu. Group-theoretical analysis was used to enumerate all the isotropy subroups due to these instablities, and the distorted structures corresponding to their order parameters were generated using the eigenvectors of the unstable phonons. These structures were then fully relaxed by minimizing both the atomic forces and lattice stresses. I was able to stabilize only five out of the twelve possible distortions. The PbcnPbcn isotropy subgroup with the M5+(a,a)M_5^+(a,a) order parameter shows noticeable energy gain relative to other distortions for the compounds with late rare-earth ions. However, the order parameter of the lowest-energy phase switches first to X2(0,a)+M5+(b,0)X_2^- (0,a) + M_5^+ (b,0) and then to X2(0,a)X_2^- (0,a) as the size of the rare-earth ion is progressively increased. Additionally, several distorted structures lie close in energy for the early members of this series. These features of the structural energetics persist even when antiferromagnetism is allowed. Such a competition between different order parameters that can be tuned by rare-earth ion substitution suggests that any structural transition that could arise from the phonon instabilities present in these materials can be suppressed to 0 K

    Hexagonal-to-base-centered-orthorhombic 4Q4Q charge density wave order in kagome metals KV3_3Sb5_5, RbV3_3Sb5_5, and CsV3_3Sb5_5

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    International audienceI search for the ground state structures of the kagome metals KV3_3Sb5_5, RbV3_3Sb5_5, and CsV3_3Sb5_5 using first principles calculations. Group-theoretical analysis shows that there are seventeen different distortions that are possible due to the phonon instabilities at the MM (12,0,0)(\frac{1}{2},0,0) and LL (12,0,12)(\frac{1}{2},0,\frac{1}{2}) points in the Brilouin zone of the parent P6/mmmP6/mmm phase of these materials. I generated these structures for the three compounds and performed full structural relaxations that minimize the atomic forces and lattice stresses. I find that the FmmmFmmm phase with the order parameter M1+M_1^+ (a,0,0)(a,0,0) ++ L2L_2^- (0,b,b)(0,b,b) has the lowest energy among these possibilities in all three compounds. However, the FmmmFmmm exhibits a dynamical instability at its ZZ (0,0,1)(0,0,1) point, which corresponds to the AA (0,0,12)(0,0,\frac{1}{2}) point in the parent P6/mmmP6/mmm phase. Condensation of this instability leads to a base-centered orthorhombic structure with the space group CmcmCmcm and 4Q4Q order parameter M1+M_1^+ (a,0,0)(a,0,0) ++ L2L_2^- (0,b,b)(0,b,b) ++ A6+A_6^+ (12c,32c)(\frac{1}{2}c,\frac{-\sqrt{3}}{2}c)

    Order-by-disorder charge density wave condensation at q=(13,13,13)\mathbf{\textit{q} =(\frac{1}{3},\frac{1}{3},\frac{1}{3})} in kagome metal ScV6_6Sn6_6

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    The recent discovery of a charge density wave order at the wave vector PP (13,13,13)(\frac{1}{3},\frac{1}{3},\frac{1}{3}) in the kagome metal ScV6_6Sn6_6 has created a mystery because subsequent theoretical and experimental studies show a dominant phonon instability instead at another wave vector HH (13,13,12)(\frac{1}{3},\frac{1}{3},\frac{1}{2}). In this paper, I use first principles total energy calculations to map out the landscape of the structural distortions due to the unstable phonon modes at HH, LL (12,0,12)(\frac{1}{2},0,\frac{1}{2}), and PP present in this material. In agreement with previous results, I find that the distortions due to the HH instability cause the largest gain in energy relative to the parent structure, followed in order by the LL and PP instabilities. However, only two distinct structure occur due to this instability, which are separated by 6 meV/f.u. The instability at LL results in three distinct structures separated in energy by 5 meV/f.u. In contrast, six different distorted structures are stabilized due to the instability at PP, and they all lie within 2 meV/f.u.\ of each other. Hence, despite a lower energy gain, the condensation at PP could be favorable due to a larger entropy gain associated with the fluctuations within a manifold with larger multiplicity via the order-by-disorder mechanism.Comment: Fix a typo; 6 pages, 2 figures, 2 tables; crystal structure information are given in ancillary file

    Possible structural quantum criticality tuned by rare-earth ion substitution in infinite-layer nickelates

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    I show the infinite-layer rare-earth nickelates are near a structural quantum critical point by mapping the energetics of their structural instabilities using first priniciples calculations. I first confirm previous results that show a phonon instability in the P4/mmmP4/mmm phase leading to the I4/mcmI4/mcm structure for RRNiO2_2 with RR = Sm--Lu. I then study the non-spin-polarized phonon dispersions of the I4/mcmI4/mcm phase and find that they exhibit rare-earth size dependent instabilities at the XX and MM points for materials with RR = Eu--Lu. Group-theoretical analysis was used to enumerate all the isotropy subroups due to these instablities, and the distorted structures corresponding to their order parameters were generated using the eigenvectors of the unstable phonons. These structures were then fully relaxed by minimizing both the atomic forces and lattice stresses. I was able to stabilize only five out of the twelve possible distortions. The PbcnPbcn isotropy subgroup with the M5+(a,a)M_5^+(a,a) order parameter shows noticeable energy gain relative to other distortions for the compounds with late rare-earth ions. However, the order parameter of the lowest-energy phase switches first to X2(0,a)+M5+(b,0)X_2^- (0,a) + M_5^+ (b,0) and then to X2(0,a)X_2^- (0,a) as the size of the rare-earth ion is progressively increased. Additionally, several distorted structures lie close in energy for the early members of this series. These features of the structural energetics persist even when antiferromagnetism is allowed. Such a competition between different order parameters that can be tuned by rare-earth ion substitution suggests that any structural transition that could arise from the phonon instabilities present in these materials can be suppressed to 0 K

    Interplay between structure and chemistry of materials and their physical properties

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    First principles calculations provide a powerful tool for sorting out the interplay of chemical composition and structure with the physical properties of materials. In this dissertation, I discuss the physical properties and their microscopic basis within this framework for following illustrative examples. (i) The Zintl phase hydrides, where I find H is anionic and the formation of covalent sp2 bonds in the Al/Ga/Al-Si planes, which is a highly unusual bonding configuration for these elements. (ii) PbTe, which shows strong coupling between the longitudinal acoustic and transverse optic modes that may explain its low thermal conductivity. (iii) The double perovskites BiPbZnNbO6 and BiSrZnNbO6, where introducing size disorder at A-site prevents the BO6 octahedra from tiling and enhances the polar behavior. (iv) FeSe, which shares the salient electronic and magnetic features of other Fe superconductors and cannot be described as a conventional electron phonon superconductor. (v) NbFe2, which is near a magnetic quantum critical point and shows strong competition between various magnetic orderings that may explain its unusual non-Fermi liquid behavior at very low temperatures. (vi) The nickel analogues of Fe superconductors LaNiPO and BaNi2As2, where I show that superconductivity is of conventional electron-phonon type in contrast to the Fe-based superconductors. (vii) Noncentrosymmetric LaNiC2, which I find is a conventional electron-phonon superconductor with intermediate coupling

    First principles study of thermal conductivity of In2_2O3_3 in relation to Al2_2O3_3, Ga2_2O3_3, and KTaO3_3

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    I use first principles calculations to investigate the thermal conductivity of β\beta-In2_2O3_3 and compare the results with that of α\alpha-Al2_2O3_3, β\beta-Ga2_2O3_3, and KTaO3_3. The calculated thermal conductivity of β\beta-In2_2O3_3 agrees well with the experimental data obtain recently, which found that the low-temperature thermal conductivity in this material can reach values above 1000 W/mK. I find that the calculated thermal conductivity of β\beta-Ga2_2O3_3 is larger than that of β\beta-In2_2O3_3 at all temperatures, which implies that β\beta-Ga2_2O3_3 should also exhibit high values of thermal conductivity at low temperatures. The thermal conductivity of KTaO3_3 calculated ignoring the temperature-dependent phonon softening of low-frequency modes give high-temperature values similar that of β\beta-Ga2_2O3_3. However, the calculated thermal conductivity of KTaO3_3 does not increase as steeply as that of the binary compounds at low temperatures, which results in KTaO3_3 having the lowest low-temperature thermal conductivity despite having acoustic phonon velocities larger than that of β\beta-Ga2_2O3_3 and β\beta-In2_2O3_3. I attribute this to the fact that the acoustic phonon velocities at low frequencies in KTaO3_3 is less uniformly distributed because its acoustic phonon branches are more dispersive compared to the binary oxides, which causes enhanced momentum loss even during the normal phonon-phonon scattering processes. I also calculate thermal diffusivity using the theoretically obtained thermal conductivity and heat capacity and find that all four materials exhibit the expected T1T^{-1} behavior at high temperatures. Additionally, the calculated ratio of the average phonon scattering time to Planckian time is larger than the lower bound of 1 that has been observed empirically in numerous other materials
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