Spin Chain with Continuous Exponential Symmetry: Topological Phase and Beyond

Name: Spin Chain with Continuous Exponential Symmetry: Topological Phase and Beyond
Uploaded: 2026-10-14T04:43:19.475124+00:00
Duration: 439 s
Description: The study investigates symmetric gapped ground states of 1D spin chains with continuous exponential symmetry U(1)⋊Z2. It finds that for integer spin S, odd base q yields a Haldane-type topological phase, while even q yields none. For half-odd integer S, odd q leads to an obstruction, but even q allows a novel 'half-SPT' phase with unique properties.

The study investigates symmetric gapped ground states of 1D spin chains with continuous exponential symmetry U(1)⋊Z2. It finds that for integer spin S, odd base q yields a Haldane-type topological phase, while even q yields none. For half-odd integer S, odd q leads to an obstruction, but even q allows a novel 'half-SPT' phase with unique properties.

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