The Haldane conjecture follows from the topological theta term in quantum field theory

the verdict

SUPPORTED

the evidence backs this

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2 sources for · 0 against

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The Haldane conjecture is fundamentally connected to and derived from topological theta terms in the effective field theories describing quantum spin chains.

The analysis

The retrieved literature (specifically papers [1] and [4]) establishes the theoretical connection between the Haldane conjecture for quantum spin chains and the topological terms (such as the topological theta term in the nonlinear sigma model) in quantum field theory.

Evidence for · 2

Topological Effects on Quantum Phase Slips in Superfluid Spin Transport.

Recorded source metadata

Kim SK, Tserkovnyak Y. Topological Effects on Quantum Phase Slips in Superfluid Spin Transport.. 2016. https://doi.org/10.1103/physrevlett.116.127201

Paper [1] discusses how the topological term in the nonlinear sigma model differentiates integer and half-odd-integer spin chains, linking quantum fluctuations to topological phenomena.

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More for · 1

A short guide to topological terms in the effective theories of condensed matter.

Recorded source metadata

Tanaka A, Takayoshi S. A short guide to topological terms in the effective theories of condensed matter.. 2015. https://doi.org/10.1088/1468-6996/16/1/014404

Paper [4] reviews topological terms in effective theories of condensed matter, highlighting their central role in quantum magnetism and theoretical models such as those related to the Haldane conjecture.

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first checked01 Aug 2026

judged → SUPPORTED · 8101 Aug 2026

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