Strange metal and superconductor in the two-dimensional Yukawa-Sachdev-Ye-Kitaev model

Fuente: arXiv
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Autori principali: Li, Chenyuan, Valentinis, Davide, Patel, Aavishkar A., Guo, Haoyu, Schmalian, Jörg, Sachdev, Subir, Esterlis, Ilya
Natura: Preprint
Pubblicazione: 2024
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author Li, Chenyuan
Valentinis, Davide
Patel, Aavishkar A.
Guo, Haoyu
Schmalian, Jörg
Sachdev, Subir
Esterlis, Ilya
author_facet Li, Chenyuan
Valentinis, Davide
Patel, Aavishkar A.
Guo, Haoyu
Schmalian, Jörg
Sachdev, Subir
Esterlis, Ilya
contents The two-dimensional Yukawa-Sachdev-Ye-Kitaev (2d-YSYK) model provides a universal theory of quantum phase transitions in metals in the presence of quenched random spatial fluctuations in the local position of the quantum critical point. It has a Fermi surface coupled to a scalar field by spatially random Yukawa interactions. We present full numerical solutions of a self-consistent disorder averaged analysis of the 2d-YSYK model in both the normal and superconducting states, obtaining electronic spectral functions, frequency-dependent conductivity, and superfluid stiffness. Our results reproduce key aspects of observations in the cuprates as analyzed by Michon et al. (arXiv:2205.04030). We also find a regime of increasing zero temperature superfluid stiffness with decreasing superconducting critical temperature, as is observed in bulk cuprates.
format Preprint
id arxiv_https___arxiv_org_abs_2406_07608
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Strange metal and superconductor in the two-dimensional Yukawa-Sachdev-Ye-Kitaev model
Li, Chenyuan
Valentinis, Davide
Patel, Aavishkar A.
Guo, Haoyu
Schmalian, Jörg
Sachdev, Subir
Esterlis, Ilya
Strongly Correlated Electrons
Superconductivity
High Energy Physics - Theory
The two-dimensional Yukawa-Sachdev-Ye-Kitaev (2d-YSYK) model provides a universal theory of quantum phase transitions in metals in the presence of quenched random spatial fluctuations in the local position of the quantum critical point. It has a Fermi surface coupled to a scalar field by spatially random Yukawa interactions. We present full numerical solutions of a self-consistent disorder averaged analysis of the 2d-YSYK model in both the normal and superconducting states, obtaining electronic spectral functions, frequency-dependent conductivity, and superfluid stiffness. Our results reproduce key aspects of observations in the cuprates as analyzed by Michon et al. (arXiv:2205.04030). We also find a regime of increasing zero temperature superfluid stiffness with decreasing superconducting critical temperature, as is observed in bulk cuprates.
title Strange metal and superconductor in the two-dimensional Yukawa-Sachdev-Ye-Kitaev model
topic Strongly Correlated Electrons
Superconductivity
High Energy Physics - Theory
url https://arxiv.org/abs/2406.07608