The Hubbard quantum wire
You-Quan Li (IPT-EPFL/ZIMP,Zhejiang Univ.), Christian Gruber, (IPT-EPFL)
TL;DR
This paper provides an exact solution to the Hubbard quantum wire with boundary conditions using Bethe ansatz, analyzing ground and excited states, and comparing strong coupling results with periodic boundary conditions.
Contribution
It introduces an exact solution for the Hubbard model on a quantum wire with boundaries, including wave functions and spectrum equations.
Findings
Exact wave function for bounded states derived
Secular equation for spectrum obtained explicitly
Ground-state energy in strong coupling limit calculated
Abstract
By introducing a boundary condition for the quantum wire, the Hubbard model is solved exactly by means of Bethe ansatz. The wave function for the bounded state is clearly defined, and the secular equation for the spectrum is exactly obtained. The ground state and low-lying excited states are studied in the thermodynamic limit. The ground-state energy in the strong coupling limit is obtained explicitly, and compared with the results of periodic boundary condition.
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