A microscopic approach to nonlinear theory of spin-charge separation

• URL: http://arxiv.org/abs/2510.09515v1
• Date: Fri, 10 Oct 2025 16:24:28 GMT
• Title: A microscopic approach to nonlinear theory of spin-charge separation
• Authors: Oleksandr Tsyplyatyev, Yiqing Jin, María Moreno, Wooi Kiat Tan, Christopher J. B. Ford,
• Abstract summary: We develop a microscopic theory of the correlation functions using the strong coupling expansion of the Hubbard model.<n>We show the general stability of the nonlinear spin-charge modes in whole energy band and investigate all the nonlinear features systematically.
• Score: 12.174346896225153
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: The fate of spin-charge separation beyond the low energy remains elusive up to now. Here we develop a microscopic theory of the correlation functions using the strong coupling expansion of the Hubbard model and demonstrate its validity down to the experimentally relevant $r_{\rm s}>1$. Evaluating the spectral function, we show the general stability of the nonlinear spin-charge modes in whole energy band and investigate all the nonlinear features systematically. We confirm the general prediction experimentally in semiconductor quantum wires. Furthermore, we observe a signal consistent with a continuum of the nonlinear excitations and with a final spectral density around the $3 k_{\rm F}$ point, indicating the robustness of the Hubbard model predictions for a finite range interaction.

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