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Main Authors: Parra-Martinez, Guillermo, Jimeno-Pozo, Alejandro, Phong, Vo Tien, Sainz-Cruz, Hector, Kaplan, Daniel, Emanuel, Peleg, Oreg, Yuval, Pantaleon, Pierre A., Silva-Guillen, Jose Angel, Guinea, Francisco
Format: Preprint
Published: 2025
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Online Access:https://arxiv.org/abs/2502.19474
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author Parra-Martinez, Guillermo
Jimeno-Pozo, Alejandro
Phong, Vo Tien
Sainz-Cruz, Hector
Kaplan, Daniel
Emanuel, Peleg
Oreg, Yuval
Pantaleon, Pierre A.
Silva-Guillen, Jose Angel
Guinea, Francisco
author_facet Parra-Martinez, Guillermo
Jimeno-Pozo, Alejandro
Phong, Vo Tien
Sainz-Cruz, Hector
Kaplan, Daniel
Emanuel, Peleg
Oreg, Yuval
Pantaleon, Pierre A.
Silva-Guillen, Jose Angel
Guinea, Francisco
contents Recently, exotic superconductivity emerging from a spin-and-valley-polarized metallic phase has been discovered in rhombohedral tetralayer graphene. To explain this observation, we study the role of electron-electron interactions in driving flavor symmetry breaking, using the Hartree-Fock (HF) approximation, and in stabilizing superconductivity mediated by repulsive interactions. Though mean-field HF correctly predicts the isospin flavors and reproduces the experimental phase diagram, it overestimates the band renormalization near the Fermi energy and suppresses superconducting instabilities. To address this, we introduce a physically motivated scheme that includes internal screening in the HF calculation. Using this formalism, we find superconductivity arising from the spin-valley polarized phase for a range of electric fields and electron dopings. Our findings reproduce the experimental observations and reveal a p-wave, finite-momentum, time-reversal-symmetry-broken superconducting state, encouraging further investigation into exotic phases in graphene multilayers.
format Preprint
id arxiv_https___arxiv_org_abs_2502_19474
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Band Renormalization, Quarter Metals, and Chiral Superconductivity in Rhombohedral Tetralayer Graphene
Parra-Martinez, Guillermo
Jimeno-Pozo, Alejandro
Phong, Vo Tien
Sainz-Cruz, Hector
Kaplan, Daniel
Emanuel, Peleg
Oreg, Yuval
Pantaleon, Pierre A.
Silva-Guillen, Jose Angel
Guinea, Francisco
Strongly Correlated Electrons
Recently, exotic superconductivity emerging from a spin-and-valley-polarized metallic phase has been discovered in rhombohedral tetralayer graphene. To explain this observation, we study the role of electron-electron interactions in driving flavor symmetry breaking, using the Hartree-Fock (HF) approximation, and in stabilizing superconductivity mediated by repulsive interactions. Though mean-field HF correctly predicts the isospin flavors and reproduces the experimental phase diagram, it overestimates the band renormalization near the Fermi energy and suppresses superconducting instabilities. To address this, we introduce a physically motivated scheme that includes internal screening in the HF calculation. Using this formalism, we find superconductivity arising from the spin-valley polarized phase for a range of electric fields and electron dopings. Our findings reproduce the experimental observations and reveal a p-wave, finite-momentum, time-reversal-symmetry-broken superconducting state, encouraging further investigation into exotic phases in graphene multilayers.
title Band Renormalization, Quarter Metals, and Chiral Superconductivity in Rhombohedral Tetralayer Graphene
topic Strongly Correlated Electrons
url https://arxiv.org/abs/2502.19474