Physics

Localization-delocalization transition and $$mathscr{P}mathscr{T}$$-symmetry breaking via second-neighbor coupling in a Heisenberg spin chain

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Anderson localizat…Heisenberg spin ch…

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This study investigates a non-Hermitian Heisenberg spin chain model in which second-neighbor (next-nearest-neighbor) coupling drives two distinct physical transitions: a localization-delocalization transition of quantum states and the spontaneous breaking of parity-time (PT) symmetry. The authors demonstrate that tuning the second-neighbor coupling strength serves as a control parameter that governs both phenomena, revealing a deep connection between the spectral properties of the system and the spatial distribution of its eigenstates. These findings extend the understanding of non-Hermitian quantum mechanics by showing how geometric connectivity in spin chains can simultaneously affect symmetry and transport properties.


Non-Hermitian systems with PT-symmetry have practical relevance in the design of photonic devices, quantum sensors, and topological materials where controlled energy gain and loss are exploited. Understanding how localization-delocalization transitions can be triggered by coupling geometry may inform the engineering of quantum systems with tunable transport and spectral properties.


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Source: Localization-delocalization transition and $$mathscr{P}mathscr{T}$$-symmetry breaking via second-neighbor coupling in a Heisenberg spin chain