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Evidence for valence-bond pairing in a one-dimensional two-orbital system

M. Mierzejewski1, E. Dagotto2,3, and J. Herbrych1

Phys. Rev. B 112, L041107 – Published 7 July, 2025

DOI: https://doi.org/10.1103/qyqw-yy3j

Abstract

Valence bond (VB) states as the formation mechanism of Cooper pairs, eventually leading to high-temperature superconductivity, remain a controversial topic. Although various VB-like states find variational relevance in the description of specific spin models and quantum spin liquids, in the realm of many-body fermionic Hamiltonians, the evidence for such states as ground-state wave functions remains elusive, challenging the valence-bond pairing mechanism. Here, we present evidence of a VB ground state with pairing tendencies, particularly at finite doping. We achieved this for the generic two-orbital Hubbard model in low dimension, where the VB states can be associated with the presence of the topological order manifested by edge states.

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