Dimerization and Néel Order in Different Quantum Spin Chains Through a Shared Loop Representation

Michael Aizenman
Michael Aizenman

ANNALES HENRI POINCARE, pp. 2737.0-2774.0, 2020.

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Abstract:

The ground-states of the spin-S antiferromagnetic chain H-AF with a projection-based interaction and the spin-1/2 XXZ-chain H-XXZ at anisotropy parameter Delta = cosh(lambda) share a common loop representation in terms of a two-dimensional functional integral which is similar to the classical planar Q-state Potts model at root Q = 2S + 1 ...More

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