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arXiv · 2601.09997

Reentrant topological phases and entanglement scalings in moir\'e-modulated extended Su-Schrieffer-Heeger Model

Guo-Qing Zhang·L. F. Quezada·Shi-Hai Dong
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Abstract

Recent studies of moir\'e physics have unveiled a wealth of opportunities for significantly advancing the field of quantum phase transitions. However, properties of reentrant phase transitions driven by moir\'e strength are poorly understood. Here, we investigate the reentrant sequence of phase transitions and the invariant of universality class in moir\'e-modulated extended Su-Schrieffer-Heeger (SSH) model. For the simplified case with intercell hopping $w=0$, we analytically derive renormalization relations of Hamiltonian parameters to explain the reentrant phenomenon. For the general case, numerical phase boundaries are calculated in the thermodynamic limit. The bulk boundary correspondence between zero-energy edge modes and entanglement spectrum is revealed from the degeneracy of both quantities. We also address the correspondence between the central charge obtained from entanglement entropy and the change in winding number during the phase transition. Our results shed light on the understanding of universal characteristics and bulk-boundary correspondence for moir\'e induced reentrant phase transitions in 1D condensed-matter systems.

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Guo-Qing Zhang, L. F. Quezada, Shi-Hai Dong. 2026-01-15. Reentrant topological phases and entanglement scalings in moir\'e-modulated extended Su-Schrieffer-Heeger Model. https://doi.org/10.1007/s11433-025-2855-1

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