The Chirality operators for Heisenberg Spin Systems

V. Subrahmanyam

doi:10.1103/physrevb.50.6468

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arXiv · cond-mat/9402001

The Chirality operators for Heisenberg Spin Systems

V. Subrahmanyam

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Abstract

The ground state of closed Heisenberg spin chains with an odd number of sites has a chiral degeneracy, in addition to a two-fold Kramers degeneracy. A non-zero chirality implies that the spins are not coplanar, and is a measure of handedness. The chirality operator, which can be treated as a spin-1/2 operator, is explicitly constructed in terms of the spin operators, and is given as commutator of Permutation operators.

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V. Subrahmanyam. 1994-02-01. The Chirality operators for Heisenberg Spin Systems. https://doi.org/10.1103/physrevb.50.6468

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