Abstract
In this paper, we develop the holographic mean field theory for strongly interacting fermion systems. We investigate various types of the symmetry-breakings and their effect on the spectral function. We found analytic expressions of fermion Green’s functions in the probe-limit for all types of tensor order parameter fields. We classified the spectral shapes and singularity types from the analytic Green’s function. We calculated the fermions spectral function in the full backreacted background and then compared it with the analytic results to show the reliability of analytic results in the probe limit. The fact that all the main features of the spectral features in the current condensed matter physics including gaps of s-,p- waves, nodal rings and nodal shells, the flat band of dimension 1,2,3, can be obtained in the absence of the lattice as consequences of the order and symmetry breaking pattern, is a pleaseant surprise.
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Acknowledgments
This work is supported by Mid-career Researcher Program through the National Research Foundation of Korea grant No. NRF-2021R1A2B5B02002603 and the Basic research Laboratory support program RS-2023-00218998, and the brain Link program NRF-2022H1D3A3A01077468. We thank the APCTP for the hospitality during the focus program, where part of this work was discussed.
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Sukrakarn, S., Yuk, T. & Sin, SJ. Mean field theory for strongly coupled systems: Holographic approach. J. High Energ. Phys. 2024, 100 (2024). https://doi.org/10.1007/JHEP06(2024)100
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DOI: https://doi.org/10.1007/JHEP06(2024)100