English

Spontaneous Parity Violation in a Quantum Spin Chain

Strongly Correlated Electrons 2013-01-14 v1

Abstract

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.

Keywords

Cite

@article{arxiv.0905.4895,
  title  = {Spontaneous Parity Violation in a Quantum Spin Chain},
  author = {Stephan Rachel and Dirk Schuricht and Burkhard Scharfenberger and Ronny Thomale and Martin Greiter},
  journal= {arXiv preprint arXiv:0905.4895},
  year   = {2013}
}

Comments

4 pages, 2 figures; Conference contribution to ICM 2009

R2 v1 2026-06-21T13:07:39.911Z