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Hauptverfasser: Li, Yongtai, Jana, Gour, Ekuma, Chinedu E.
Format: Preprint
Veröffentlicht: 2025
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Online-Zugang:https://arxiv.org/abs/2505.00806
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author Li, Yongtai
Jana, Gour
Ekuma, Chinedu E.
author_facet Li, Yongtai
Jana, Gour
Ekuma, Chinedu E.
contents We present an extension of the dynamical cluster approximation (DCA) that incorporates Rashba spin-orbit coupling (SOC) to investigate the interplay between disorder, spin-orbit interaction, and nonlocal spatial correlations in disordered two-dimensional systems. By analyzing the average density of states, momentum-resolved self-energy, and return probability, we demonstrate how Rashba SOC and nonlocal correlations jointly modify single-particle properties and spin-dependent interference. The method captures key features of the symplectic universality class, including SOC-induced delocalization signatures at finite times. We benchmark the DCA results against those obtained from the numerically exact kernel polynomial method, finding good agreement. This validates the computationally efficient, mean-field-based DCA framework as a robust tool for exploring disorder, spin-orbit coupling, and nonlocal correlation effects in low-dimensional systems, and paves the way for simulating multiorbital and strongly correlated systems that were previously inaccessible due to computational limitations.
format Preprint
id arxiv_https___arxiv_org_abs_2505_00806
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Rashba Spin-Orbit Coupling and Nonlocal Correlations in Disordered 2D Systems
Li, Yongtai
Jana, Gour
Ekuma, Chinedu E.
Disordered Systems and Neural Networks
We present an extension of the dynamical cluster approximation (DCA) that incorporates Rashba spin-orbit coupling (SOC) to investigate the interplay between disorder, spin-orbit interaction, and nonlocal spatial correlations in disordered two-dimensional systems. By analyzing the average density of states, momentum-resolved self-energy, and return probability, we demonstrate how Rashba SOC and nonlocal correlations jointly modify single-particle properties and spin-dependent interference. The method captures key features of the symplectic universality class, including SOC-induced delocalization signatures at finite times. We benchmark the DCA results against those obtained from the numerically exact kernel polynomial method, finding good agreement. This validates the computationally efficient, mean-field-based DCA framework as a robust tool for exploring disorder, spin-orbit coupling, and nonlocal correlation effects in low-dimensional systems, and paves the way for simulating multiorbital and strongly correlated systems that were previously inaccessible due to computational limitations.
title Rashba Spin-Orbit Coupling and Nonlocal Correlations in Disordered 2D Systems
topic Disordered Systems and Neural Networks
url https://arxiv.org/abs/2505.00806