Odd-parity triplet superconductivity in multi-orbital materials with strong spin-orbit coupling: applications to doped Sr2IrO4

Abstract

We explore possible superconducting states in $t_{2g}$ multi-orbital correlated electron systems with strong spin-orbit coupling (SOC). In order to study such systems in a controlled manner, we employ large-scale dynamical mean-field theory (DMFT) simulations with the hybridization expansion continuous-time Quantum Monte Carlo (CTQMC) impurity solver. To determine the pairing symmetry, we go beyond the local DMFT formalism using parquet equations to introduce the momentum dependence in the two-particle vertex and correlation functions. In the strong SOC limit, a singlet, $d$-wave pairing state in the electron-doped side of the phase diagram is observed at weak Hund's coupling, which is triggered by antiferromagnetic fluctuations. When the Hund's coupling is comparable to SOC, a two-fold degenerate, triplet $p$-wave pairing state with relatively high $T_c$ emerges in the hole-doped side of the phase diagram, which is associated with enhanced charge fluctuations. Experimental implications to doped Sr${}_2$IrO${}_4$ are discussed.

arXiv comment5 pages, 5 figures

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• Evidence of an odd-parity hidden order in a spin-orbit coupled correlated iridate
• The Challenge of Spin-Orbit-Tuned Ground States in Iridates
• Recent progress on correlated electron systems with strong spin-orbit coupling
• Signature of high temperature superconductivity in electron doped Sr2IrO4
• Odd-parity triplet superconductivity in multi-orbital materials with strong spin-orbit coupling: applications to doped Sr2IrO4
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• A structural distortion induced magneto-elastic locking in Sr${}_2$IrO${}_4$ revealed through nonlinear optical harmonic generation
• Persistent paramagnons deep in the metallic phase of Sr${}_{2-x}$La${}_x$IrO${}_4$
• Two-dimensional $J_{\mathrm{eff}}$ = 1/2 antiferromagnetic insulator unraveled from interlayer exchange coupling in artificial perovskite iridate superlattices
• $i$QIST: An open source continuous-time quantum Monte Carlo impurity solver toolkit
• Multipole superconductivity in nonsymmorphic Sr${}_2$IrO${}_4$
• Slater Insulator in Iridate Perovskites with Strong Spin-Orbit Coupling
• J-freezing and Hund's rules in spin-orbit-coupled multiorbital Hubbard models
• Crystal growth and intrinsic magnetic behavior of Sr${}_2$IrO${}_4$
• Raman scattering study of vibrational and magnetic excitations in Sr${}_{2-x}$La${}_x$IrO${}_4$
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• Evidence for spin-triplet odd-parity superconductivity close to type-II van Hove singularities
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• Odd-Parity Superconductivity Driven by Octahedra Rotations in Iridium Oxides
• Quest for New Quantum States via Field-Editing Technology
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