Monopoles, confinement and charge localization in the t-J model with dilute holes

Peng Ye Perimeter Institute for Theoretical Physics, Waterloo N2L 2Y5, Ontario, Canada Qing-Rui Wang Institute for Advanced Study, Tsinghua University, Beijing 100084, Peopleʼs Republic of China

arXiv subject: High Energy Physics - Theory (hep-th) arXiv subject: Strongly Correlated Electrons (cond-mat.str-el) mathscidoc:2206.74024

Nuclear Physics B, 874, 386-398, 2013.9
We present a quantum field theoretic description on the t−J model on a square lattice with dilute holes (i.e. near half-filling), based on the compact mutual Chern-Simons gauge theory. We show that, due to the presence of non-perturbative monopole plasma configuration from the antiferromagnetic background, holons (carrying electric charge) are linearly confined and strongly localized even without extrinsic disorder taken into account. Accordingly, the translation symmetry is spontaneously broken at ground state. Such an exotic localization is distinct from Anderson localization and essentially rooted in intrinsic Mott physics of the t−J model. Finally, a finite-temperature phase diagram is proposed. The metal-insulator transition observed in in-plane resistivity measurement is identified to a confinement-deconfinement transition from the perspective of gauge theory. The transition is characterized by the order parameter "Polyakov-line".
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@inproceedings{peng2013monopoles,,
  title={Monopoles, confinement and charge localization in the t-J model with dilute holes},
  author={Peng Ye, and Qing-Rui Wang},
  url={http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20220618160047028962403},
  booktitle={Nuclear Physics B},
  volume={874},
  pages={386-398},
  year={2013},
}
Peng Ye, and Qing-Rui Wang. Monopoles, confinement and charge localization in the t-J model with dilute holes. 2013. Vol. 874. In Nuclear Physics B. pp.386-398. http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20220618160047028962403.
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