Density Matrix Renormalization Group study of superconducting pairing near the quarter-filled Wigner crystal

Fuente: arXiv
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Hauptverfasser: Clay, R. Torsten, Thompson, Beau A.
Format: Preprint
Veröffentlicht: 2023
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author Clay, R. Torsten
Thompson, Beau A.
author_facet Clay, R. Torsten
Thompson, Beau A.
contents Charge ordering is often found in the phase diagram of unconventional superconductors in close proximity to the superconducting state. This has led to the suggestion that fluctuations of charge order can mediate superconducting pairing. While several mechanisms can lead to charge order, one common mechanism is the long-range Coulomb interaction, resulting in a Wigner crystal charge ordered state. For an electron density of 0.5 per site we investigate the extended Hubbard model on the two-dimensional square lattice using exact diagonalization and density matrix renormalization group methods. Our results show that the strength of pairing decreases with the nearest-neighbor Coulomb interaction strength $V$ and remains weaker than the tendency of pairing for non-interacting electrons.
format Preprint
id arxiv_https___arxiv_org_abs_2302_08367
institution arXiv
publishDate 2023
record_format arxiv
spellingShingle Density Matrix Renormalization Group study of superconducting pairing near the quarter-filled Wigner crystal
Clay, R. Torsten
Thompson, Beau A.
Strongly Correlated Electrons
Superconductivity
Charge ordering is often found in the phase diagram of unconventional superconductors in close proximity to the superconducting state. This has led to the suggestion that fluctuations of charge order can mediate superconducting pairing. While several mechanisms can lead to charge order, one common mechanism is the long-range Coulomb interaction, resulting in a Wigner crystal charge ordered state. For an electron density of 0.5 per site we investigate the extended Hubbard model on the two-dimensional square lattice using exact diagonalization and density matrix renormalization group methods. Our results show that the strength of pairing decreases with the nearest-neighbor Coulomb interaction strength $V$ and remains weaker than the tendency of pairing for non-interacting electrons.
title Density Matrix Renormalization Group study of superconducting pairing near the quarter-filled Wigner crystal
topic Strongly Correlated Electrons
Superconductivity
url https://arxiv.org/abs/2302.08367