One-dimensional extended Hubbard model with spin-triplet pairing ground states

Abstract

We show that the one-dimensional extended Hubbard model has saturated ferromagnetic ground states with the spin-triplet electron pair condensation in a certain range of parameters. The ground state wave functions with fixed electron numbers are explicitly obtained. We also construct two ground states in which both the spin-rotation and the gauge symmetries are broken, and show that these states are transferred from one to the other by applying the edge operators. The edge operators are reduced to the Majorana fermions in a special case. These symmetry breaking ground states are shown to be stabilized by a superconducting mean field Hamiltonian which is related to the Kitaev chain with the charge-charge interaction.

Version 2, a new section has been added, Some changes have been made, typos are fixed; Version3, 21 pages, some changes have been made, discussion is added in Section 6, two appendices are added;Version4, 23 pages, discussions are added in Sections 2 and 3, one reference is added

References in corpus (7)

• Signatures of Majorana fermions in hybrid superconductor-semiconductor nanowire devices
• Majorana Fermions and a Topological Phase Transition in Semiconductor-Superconductor Heterostructures
• Observation of Majorana Fermions in Ferromagnetic Atomic Chains on a Superconductor
• Exact ground states and topological order in interacting Kitaev/Majorana chains
• Localized Majorana-like modes in a number conserving setting: An exactly solvable model
• Topological states in a microscopic model of interacting fermions
• Ferromagnetic Pairing States on Two-Coupled Chains

Cited by in corpus (2)

• Exact ground states for interacting Kitaev chains
• Quantum Simulation of Competing Orders with Fermions in Quantum Optical Lattices