Ordering and multiple phase transitions in ultra-thin nickelate superlattices

We interpret via advanced ab initio calculations the multiple phase transitions observed recently in ultra-thin LaNiO$_{3}$/LaAlO$_{3}$ superlattices. The ground state is insulating, charge-ordered, and antiferromagnetic due to concurrent structural distortion and weak valency disproportionation. We infer distinct transitions at 40 K and 150 K, respectively, from antiferromagnetic order to moment disorder, and from structurally-dimerized insulator to an undistorted metallic Pauli paramagnet (exhibiting a cuprate-like Fermi surface). The results are in satisfactory agreement with experiment.Comment: ~4 pages, 4 figures; further improvement during revie

Fermi-surface pockets in YBa2Cu3O6.5YBa_2Cu_3O_{6.5} : A comparison of ab initio techniques

We study the Fermi surface of metallic, non-magnetic \textit{ortho}-II YBa$_2$Cu$_3$O$_{6.5}$ using three different density-functional-based band-structure techniques (GGA, GGA+U, PSIC). The calculated Fermi surface exhibits no pockets in GGA+U and PSIC, a minor one in GGA. Upon shifting the Fermi level in the vicinity of the calculated value, we instead observe several pocket structures. We calculate their cross-sectional areas and cyclotron masses. Overall, our calculations show no solid evidence of the existence of electron-like --nor, in fact, of any-- Fermi surface pockets in this phase. This suggests that the origin of the pockets should be sought for in other, different phases.Comment: 7 pages, 5 figures, in print on PRB 79 (2009

Topology of SO(5)-monopoles and three-dimensional, stable Dirac semimetals

The band-touching points of stable, three-dimensional, Kramers-degenerate, Dirac semimetals are singularities of a five-component, unit vector field and non-Abelian, $SO(5)$-Berry's connections, whose topological classification is an important, open problem. We solve this problem by performing second homotopy classification of Berry's connections. Using Abelian projected connections, the generic planes, orthogonal to the direction of nodal separation, and lying between two Dirac points are shown to be higher-order topological insulators, which support quantized, chromo-magnetic flux or relative Chern number, and gapped, edge states. The Dirac points are identified as a pair of unit-strength, $SO(5)$- monopole and anti-monopole, where the relative Chern number jumps by $\pm 1$. Using these bulk invariants, we determine the topological universality class of different types of Dirac semimetals. We also describe a universal recipe for computing quantized, non-Abelian flux for Dirac materials from the windings of spectra of planar Wilson loops, displaying $SO(5)$-gauge invariance. With non-perturbative, analytical solutions of surface-states, we show the absence of helical Fermi arcs, and predict the fermiology and the spin-orbital textures. We also discuss the similarities and important topological distinction between the surface-states Hamiltonian and the generator of Polyakov loop of Berry's connections.Comment: 19 pages, 8 figure

Uncorrelated Bi off-centering and the insulator-to-metal transition in ruthenium A(2)Ru(2)O(7) pyrochlores

The study of insulator-to-metal transitions is of interest from the viewpoint of fundamental understanding of the underlying physics, and materials at the brink of such transitions possess useful functionality. Driving this transition through compositional tuning can help engineer useful material properties. Here we study the role of disorder in the form of cation off-centering on the compositionally-controlled insulator-to-metal transition in the solid solution oxide pyrochlore (Pr1-xBix)2Ru2O7. Prior work has established site disorder by the Bi3+ cations shifting incoherently away from their ideal crystallographic site in the Bi end-member pyrochlore as a consequence of stereochemical activity of the lone pair of electrons. However, less is known about the consequences of such off-centering in solid solutions and its role in determining the electronic ground state. Here we demonstrate through total scattering studies that even a small substitution of Bi on the pyrochlore A site leads to site disorder that enhances the average effective size of the A-site cation. This indirectly increases Ru-O-Ru covalency, which appears to play a crucial role in the crossover from insulating to metallic behavior in the solid solution. Further, density functional electronic structure calculations suggest the combination of primary and secondary (due to size) electronic effects of the lone pair-driven incoherent cation displacements drive the solid solution into a metallic state