2025/08/03 by Moongul Byun, Taewon Yuk, Byun, Moongul +7
Physics and Astronomy · #Topological Materials and Phenomena #Black Holes and Theoretical Physics #Quantum many-body systems
paper · pdf · doi:10.48550/arxiv.2508.01767
We investigate topological invariants in strongly interacting many-body systems within holographic mean-field theory (H-MFT) framework. Analytic expressions for retarded Green's functions are obtained for all possible fermionic bilinear interactions in the limit of probe background limit AdS4, from which we construct topological Hamiltonians. Integrating Berry curvature over the momentum domain for the gapped spectra yields well-defined and quantized Chern numbers, enabling a systematic classification of them across interaction types. These topological invariants remain robust under deformation parameters like interaction and temperature, indicating that H-MFT encodes effective single-particle-state topology near a quantum critical point in strongly correlated systems. We point out why topological number is defined in the holographic theories while it is not in the perturbative field theory.