Single-hole wave function in two dimensions: A case study of the doped Mott insulator

Shuai Chen Institute for Advanced Study, Tsinghua University, Beijing 100084, China Qing-Rui Wang Department of Physics, Chinese University of Hong Kong, Shatin, New Territories, Hong Kong, China Yang Qi Center for Field Theory and Particle Physics, Department of Physics, Fudan University, Shanghai 200433, China; State Key Laboratory of Surface Physics, Fudan University, Shanghai 200433, China; Collaborative Innovation Center of Advanced Microstructures, Nanjing 210093, China D. N. Sheng Department of Physics and Astronomy, California State University, Northridge, California 91330, USA Zheng-Yu Weng Institute for Advanced Study, Tsinghua University, Beijing 100084, China; Collaborative Innovation Center of Quantum Matter, Tsinghua University, Beijing 100084, China

arXiv subject: Strongly Correlated Electrons (cond-mat.str-el) mathscidoc:2206.76002

PHYSICAL REVIEW B, 99, 205128, 2019.5
We study a ground-state ansatz for the single-hole doped t-J model in two dimensions via a variational Monte Carlo (VMC) method. Such a single-hole wave function possesses finite angular momenta generated by hidden spin currents, which give rise to a novel ground state degeneracy in agreement with recent exact diagonalization (ED) and density matrix renormalization group (DMGR) results. We further show that the wave function can be decomposed into a quasiparticle component and an incoherent momentum distribution in excellent agreement with the DMRG results up to an 8×8 lattice. Such a two-component structure indicates the breakdown of Landau's one-to-one correspondence principle, and in particular, the quasiparticle spectral weight vanishes by a power law in the large sample-size limit. By contrast, turning off the phase string induced by the hole hopping in the so-called σ⋅t-J model, a conventional Bloch-wave wave function with a finite quasiparticle spectral weight can be recovered, also in agreement with the ED and DMRG results. The present study shows that a singular effect already takes place in the single-hole-doped Mott insulator, by which the bare hole is turned into a non-Landau quasiparticle with translational symmetry breaking. Generalizations to pairing and finite doping are briefly discussed.
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@inproceedings{shuai2019single-hole,
  title={Single-hole wave function in two dimensions: A case study of the doped Mott insulator},
  author={Shuai Chen, Qing-Rui Wang, Yang Qi, D. N. Sheng, and Zheng-Yu Weng},
  url={http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20220618155055770959399},
  booktitle={PHYSICAL REVIEW B},
  volume={99},
  pages={205128},
  year={2019},
}
Shuai Chen, Qing-Rui Wang, Yang Qi, D. N. Sheng, and Zheng-Yu Weng. Single-hole wave function in two dimensions: A case study of the doped Mott insulator. 2019. Vol. 99. In PHYSICAL REVIEW B. pp.205128. http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20220618155055770959399.
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