Carrier dynamics in doped bilayer iridates near magnetic quantum criticality

Abstract

Motivated by experiments on the carrier-doped bilayer iridate $({\text{Sr}}_{1-x}{\text{La}}_x{)}_3{\text{Ir}}_2{\text{O}}_7$, we study the dynamics of a single doped electron in a bilayer magnet in the presence of spin-orbit coupling, taking into account the spatially staggered rotation of IrO${}_6$ octahedra. We employ an effective single-orbital bilayer $t$-$J$ model, concentrating on the quantum paramagnetic phase near the magnetic quantum critical point. We determine the carrier dispersion using a combination of self-consistent Born and bond-operator techniques. Extrapolating to finite small carrier density we find that, for experimentally relevant parameters, the combination of octahedral rotation and spin-orbit coupling induces a band folding which results in a Fermi surface of small double electron pockets, in striking agreement with experimental observations. We also determine the influence of spin-orbit coupling on the location of the quantum critical point in the undoped case, and discuss aspects of the global phase diagram of doped bilayer Mott insulators.

arXiv comment13 pages, 10 figures; (v2) final version as published in PRB as Editors' Suggestion

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Cited by in corpus (2)

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