Theory of pair density wave on a quasi-one-dimensional lattice in the Hubbard model

Soma Yoshida; Keiji Yada; Yukio Tanaka

doi:10.1103/physrevb.104.094506

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arXiv · 2102.00607

Theory of pair density wave on a quasi-one-dimensional lattice in the Hubbard model

Soma Yoshida·Keiji Yada·Yukio Tanaka

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Abstract

In this study, we examine the superconducting instability of a quasi-one-dimensional lattice in the Hubbard model based on the random-phase approximation (RPA) and the fluctuation exchange (FLEX) approximation. We find that a spin-singlet pair density wave (PDW-singlet) with a center-of-mass momentum of $2k_F$ can be stabilized when the one-dimensionality becomes prominent toward the perfect nesting of the Fermi surface. The obtained pair is a mixture of even-frequency and odd-frequency singlet ones. The dominant even-frequency component does not have nodal lines on the Fermi surface. This PDW-singlet state is more favorable as compared to RPA when self-energy correction is introduced in the FLEX approximation.

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Soma Yoshida, Keiji Yada, Yukio Tanaka. 2021-02-01. Theory of pair density wave on a quasi-one-dimensional lattice in the Hubbard model. https://doi.org/10.1103/physrevb.104.094506

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