Spontaneous Parity Violation in a Quantum Spin Chain

Details Spontaneous Parity Violation in a Quantum Spin Chain Spontaneous Parity Violation in a Quantum Spin Chain

2009-05-29

arxiv.org/abs/0905.4895v1

J. Phys.: Conf. Ser. 200, 022049 (2010)

Physics

Condensed Matter

Strongly Correlated Electrons

4 pages, 2 figures; Conference contribution to ICM 2009

Scientific paper

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.

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