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η-pairing states in the Hubbard model with non-uniform Hubbard interaction

2025/04/28 by He, D. K., Song, Z. · 1 citation
#FOS: Physical sciences #Quantum Physics (quant-ph) #Strongly Correlated Electrons (cond-mat.str-el)

paper · doi:10.48550/arxiv.2504.19786

Abstract

The existence of η-pairing eigenstates in the fermionic Hubbard model is fundamentally rooted in the η-pairing symmetry, which may hold for systems with non-uniform Hubbard interaction U. In this work, we present a generalized Hubbard model containing a variety of pseudo-spin terms that break the SO4 symmetry but retain the η-pairing symmetry. This allows us to construct a variety of correlated systems possessing η% -pairing eigenstates. We exemplify our findings by considering a modified Hubbard model associated with alternative magnetic fields and on-site repulsion. We find that the same quasi-η-pairing eigenstate exhibits two distinct dynamic behaviors in the two models. Numerical results of the time evolution driven by several typical Hamiltonians accord with the analytic predictions and provide a way of the control of an η-pairing wavepacket with the aid of a time-dependent Hamiltonian.

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