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Spontaneous Parity Violation in a Quantum Spin Chain

We report on a spontaneous breakdown of parity in the ground state of a spin Hamiltonian involving nearest-neighbor interactions. This occurs for a one-dimensional model where spins transform under the gauge field representation of QCD, the eight-dimensional adjoint representation of SU(3). The ground state spontaneously violates parity and is two-fold degenerate. In addition, the model possesses a non-vanishing topological string order parameter which we explicate analytically.

preprint2009arXivOpen access
Stephan RachelDirk SchurichtBurkhard ScharfenbergerRonny ThomaleMartin Greiter
cond-mat.str-el
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Stephan RachelDirk SchurichtBurkhard ScharfenbergerRonny ThomaleMartin Greiter

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