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PreprintCC BY 4.0arXiv

Exact Magnetic Confinement of a Doped Hole by Kinetic Frustration

  • Nikolai Peshcherenko
  • Yixin Zhang
  • Cristian D. Batista
  • Yang Zhang
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Abstract

We establish an exact mechanism of magnetic confinement driven purely by kinetic frustration. In a finite open sawtooth U=∞ Hubbard chain of L unit cells doped with one hole, the ground state at magnetization M contains M polarized triplet dimers surrounding a connected singlet region of length ℓs=L−M. A magnetic field selects M and hence the confinement length. The hole forms a standing wave in the singlet region with exponential tails in the triplet background. Confinement requires neither disorder nor an exchange-generated string tension: destructive interference between direct and apex-mediated hopping makes the triplet bonds reflecting. At t2/t1=[2+4cos(π/(ℓs+2))]−1/2, they become perfectly reflecting, producing a position-degenerate compact localized state. At every fixed field 0<h<hsat, the singlet region remains finite as L→∞ and shrinks stepwise with increasing field, whereas at h=0 it spans the system.

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Cite

BibTeXRIS
BibTeX
@misc{peshcherenko2026exact,
  title = {{Exact Magnetic Confinement of a Doped Hole by Kinetic Frustration}},
  author = {Nikolai Peshcherenko and Yixin Zhang and Cristian D. Batista and Yang Zhang},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.33585},
  eprint = {2610.33585},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.33585},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - Exact Magnetic Confinement of a Doped Hole by Kinetic Frustration
AU  - Nikolai Peshcherenko
AU  - Yixin Zhang
AU  - Cristian D. Batista
AU  - Yang Zhang
PY  - 2026
DA  - 2026/10/24
PB  - arXiv
DO  - 10.48550/arxiv.2610.33585
UR  - https://arxiv.org/abs/2610.33585
AB  - We establish an exact mechanism of magnetic confinement driven purely by kinetic frustration. In a finite open sawtooth U=∞ Hubbard chain of L unit cells doped with one hole, the ground state at magnetization M contains M polarized triplet dimers surrounding a connected singlet region of length ℓ_s=L−M. A magnetic field selects M and hence the confinement length. The hole forms a standing wave in the singlet region with exponential tails in the triplet background. Confinement requires neither disorder nor an exchange-generated string tension: destructive interference between direct and apex-mediated hopping makes the triplet bonds reflecting. At t_2/t_1=[2+4cos(π/(ℓ_s+2))]^−1/2, they become perfectly reflecting, producing a position-degenerate compact localized state. At every fixed field 0<h<h_sat, the singlet region remains finite as L→∞ and shrinks stepwise with increasing field, whereas at h=0 it spans the system.
ER  -