Spectrum of the Hole Excitation in Spin-Orbit Mott Insulator Na$_{2}$IrO$_{3}$
Wei Wang1, Zhao-Yang Dong2, Shun-Li Yu3,4*, and Jian-Xin Li3,4*
1School of Science, Nanjing University of Posts and Telecommunications, Nanjing 210023, China 2Department of Applied Physics, Nanjing University of Science and Technology, Nanjing 210094, China 3National Laboratory of Solid State Microstructures and Department of Physics, Nanjing University, Nanjing 210093, China 4Collaborative Innovation Center of Advanced Microstructures, Nanjing University, Nanjing 210093, China
Abstract：We study the motion of a hole with internal degrees of freedom, introduced to the zigzag magnetic ground state of Na$_{2}$IrO$_{3}$, by using the self-consistent Born approximation. We find that the low-, intermediate-, and high-energy spectra are primarily attributed to the singlet, triplet, and quintet hole contributions, respectively. The spectral functions exhibit distinct features such as the electron-like dispersion of low-energy states near the $\varGamma$ point, the maximum $M$-point intensity of mid-energy states, and the hole-like dispersion of high-energy states. These features are robust and almost insensitive to the exchange model and Hund's coupling, and are in qualitative agreement with the angular-resolved photoemission spectra observed in Na$_{2}$IrO$_{3}$. Our results reveal that the interference between internal degrees of freedom in different sublattices plays an important role in inducing the complex dispersions.
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2023, Vol. 40 
