A Proof of Part of Haldane’s Conjecture on Spin Chains

作者: Ian Affleck , Elliott H. Lieb

DOI: 10.1007/BF00400304

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摘要: It has been argued that the spectra of infinite length, translation and U(1) invariant, anisotropic, antiferromagnetic spin s chains differ according to whether is integral or 1/2 integral: There a range parameters for which there unique ground state with gap above it in case, but no such exists case. We prove statement spin. also all s, finite length have wide parameters. The argument was extended SU(n) chains, we analogous results case as well.

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