English

The Folded Spin-1/2 XXZ Model: I. Diagonalisation, Jamming, and Ground State Properties

Statistical Mechanics 2021-05-05 v4 Mathematical Physics math.MP

Abstract

We study an effective Hamiltonian generating time evolution of states on intermediate time scales in the strong-coupling limit of the spin-1/2 XXZ model. To leading order, it describes an integrable model with local interactions. We solve it completely by means of a coordinate Bethe Ansatz that manifestly breaks the translational symmetry. We demonstrate the existence of exponentially many jammed states and estimate their stability under the leading correction to the effective Hamiltonian. Some ground state properties of the model are discussed.

Keywords

Cite

@article{arxiv.2009.04995,
  title  = {The Folded Spin-1/2 XXZ Model: I. Diagonalisation, Jamming, and Ground State Properties},
  author = {Lenart Zadnik and Maurizio Fagotti},
  journal= {arXiv preprint arXiv:2009.04995},
  year   = {2021}
}

Comments

47 pages, 6 figures