Abstract:
A2B2O7 oxides (where A3+ is a rare-earth and B4+ a transition-metal ion) crystallizing
with the cubic pyrochlore structure are well-known three-dimensional spin frustrated
systems. The source of frustration in these systems originate from the interpenetrating
corner-linked tetrahedral frameworks of A3+ and B4+ ions.
Recently, some of these pyrochlores with 5d transition metal ions occupying the B sublattice have gained considerable attention due to their novel topological properties
emerging from the interplay of three fundamental energy scales: the onsite Coulomb repulsion (U), crystal field energy (∆), and, the spin-orbit coupling (λ). In the pyrochlores
with B = Ir, these three energies are of the order of 1 eV, which places them at the crossroads leading to strongly correlated systems in large U limit, and topological insulators
in the strong λ limit. The energy scale ∆, on the other hand, splits the spin-orbit coupled
lowest J-multiplet in Ir4+ (d5), reducing the moment in the ground state to an effective J
= 1/2. Consequently, the pyrochlore iridates exhibit interesting and unexpected properties, including a spin-liquid ground state in Pr2Ir2O7 (PIO), temperature-induced metal-to-insulator transition concomitant with the onset of antiferromagnetic ordering in R =
Nd, Sm, Eu and Gd members, and an insulating behaviour in the members consisting
of heavier rare-earths. Some of these iridates, namely the ones with R = Sm, Eu, Gd
(and Y), are predicted to be in the close proximity of a Weyl semimetallic ground state,
which motivated the present research.
In order to realise a possible Weyl semimetallic ground state, we synthesized a series of (Eu1−xBix)2Ir2O7 samples. We chose Eu2Ir2O7 (EIO) due to its proximity to the
Weyl semimetallic ground state. The other end member Bi2Ir2O7 (BIO) (which also
crystallize with the cubic pyrochlore structure) is a strongly correlated metal. The crucial point is that both Eu and Bi form their respective compounds, which implies that a
solid-solution between them will not affect the valence of Ir, and hence the J = 1/2 on the
pyrochlore lattice is expected to remain unperturbed throughout the (Eu1−xBix)2Ir2O7
series. Additional advantage of doping with Bi is that the A-site remains magnetically
inactive.
We discovered a rather counter-intuitive result in this solid solution series. We found
that even though the ionic radius of Bi3+ is considerably bigger than Eu3+, dilute Bi
doping at the Eu site results in a lattice volume collapse without any apparent structural change or the valence of the constituents. The lattice contraction was confirmed using
high-resolution synchrotron x-ray diffraction. The ground state of EIO was found to
be robust for compositions in the anomalous volume contraction region and is strongly
suppressed for higher doping concentration. In the anomalous region, we find that dilute
Bi-doping tunes the ground state closer to the Weyl point, inferred from the behaviour
of ρ vs. T, which is theoretically shown to follow a 1=T dependence by Hosur et al.
At the metal-insulator boundary at x = 0.1, we observed absence of any magnetic ordering confirmed using µSR down to 20 mK. Further, from the transport behaviour, we
conjectured a Quadratic Band Touching (QBT), another novel ground state from which
other non-trivial topological phases can be derived, for this composition. We, therefore,
conclude that the composition (Eu1:8Bi0:2)Ir2O7 is the parent phase hosting a QBT from
which the WSM phase is derived through breaking of the time reversal symmetry in a
narrow composition range around x = 0.02 where the index ‘n’ in the 1/Tn fit approaches
n = 1 over a broad temperature range.
We further extended this study to other members of the pyrochlore iridate series
A2Ir2O7 (A = Sm, Gd and Dy) series. Though the anomalous lattice contraction was
observed at dilute Bi doping in all the members, it was found to be the highest for the Bi
substituted Sm2Ir2O7 (SIO). As BIO and SIO have the same lattice constant value, this
established the electronic origin of the anomalous lattice contraction phenomena. Bi
doping affected the physical properties for all the pyrochlore iridates. As the difference
between the A-site ionic radius and Bi decreased, rapid suppression of the insulating
and magnetic ground state of the pyrochlore compounds was observed.
We carried out photoelectron spectroscopy to understand the mechanism of the
metal-insulator transition in the (Eu1−xBix)2Ir2O7 series. The core-level spectra along
with the valence band spectra indicated hybridisation between Bi 6p and Ir 5d orbitals
as a possible mechanism for the emergence of metallic behaviour with increasing Bi
doping. Additionally, we confirmed that the valence state of Eu, Bi and Ir remains
unchanged over the whole range of x values.
Our study suggests that Bi-doping in pyrochlore iridates is a unique way to realise
novel ground states in this system. This is achieved as the isovalent Bi doping preserves
the Ir4+ sublattice, which is a key to obtaining various non-trivial topological phases.
In particular, we show that dilute Bi doping is a possible route to realizing the Weyl semimetallic ground state in A = Eu, and Sm. Our findings are expected to motivate
further research in exploring new quantum phases in the U − λ phase space of 5d transition metal oxides.