Ground-state properties of the one-dimensional Hubbard model with pairing potential

We consider a modification of the one-dimensional Hubbard model by including an external pairing potential. Guided by analytic bosonization results, we quantitatively determine the grand-canonical zero-temperature phase diagram using both finite and infinite density matrix renormalization group algo...

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Published in:arXiv.org 2020-09
Main Authors: Myung-Hoon, Chung, Orignac, Edmond, Poilblanc, Didier, Capponi, Sylvain
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Language:English
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Algorithms
Broken symmetry
Compressibility
Entanglement
Phase diagrams
Superconductivity
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description We consider a modification of the one-dimensional Hubbard model by including an external pairing potential. Guided by analytic bosonization results, we quantitatively determine the grand-canonical zero-temperature phase diagram using both finite and infinite density matrix renormalization group algorithm based on the formalism of matrix product states and matrix product operator, respectively. By computing various local quantities as well as the half-system entanglement, we are able to distinguish between Mott, metallic and superconducting phases. We point out the compressible nature of the Mott phase and the fully gapped nature of the many-body spectrum of the superconducting phase, in the presence of explicit U(1)-charge symmetry breaking.
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subjects Algorithms
Broken symmetry
Compressibility
Entanglement
Phase diagrams
Superconductivity
title Ground-state properties of the one-dimensional Hubbard model with pairing potential
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