Paired states of interacting electrons in a two dimensional lattice

Abstract

We show that two tight binding electrons that repel may form a bounded pair in two dimensions. The paired states form a band with energies that scale like the strength of the interaction potential. By applying an electric field we show that the dynamics of such states is that of a composite particle of charge 2e. The system still sustains Bloch-like states, so that if the two bands overlap single and paired states might coexist allowing for a bosonic fluid component that, if condensed, would decrease the resistance at low temperatures. The presence of two bands allows for new oscillations whose experimental detection would permit a direct measurement of the interaction potential strength.

7 pages, 3 figures

References in corpus (5)

• Repulsively bound atom pairs in an optical lattice
• Metal-insulator transition in two-dimensional electron systems
• Novel interaction induced oscillations in correlated electron transport
• Coherent shift of localized bound pair in Bose Hubbard model
• Pair formation in two electron correlated chains

Cited by in corpus (6)

• Metastable electron-electron states in double-layer graphene structures
• Two-body problem for two-dimensional electrons in Bernervig-Hughes-Zhang model
• Two-doublon Bloch oscillations in the mass-imbalanced extended Fermi-Hubbard model
• Metastable electron-pair states in a two-dimensional crystal
• On the Bardeen-Cooper-Schrieffer interaction in quantum graphs
• Radiative Decay of Bound Electron Pairs in Two-Dimensional Topological Insulators