Artificial graphene: Unconventional superconductivity in a honeycomb superlattice

Artificial lattices have served as a platform to study the physics of unconventional superconductivity. We study semiconductor artificial graphene—a honeycomb superlattice imposed on a semiconductor heterostructure—which hosts the Dirac physics of graphene but with a tunable periodic potential stren...

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Main Authors: Tommy Li, Julian Ingham, Harley D. Scammell
Format: Article
Language:English
Published: American Physical Society 2020-10-01
Series:Physical Review Research
Online Access:http://doi.org/10.1103/PhysRevResearch.2.043155
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author Tommy Li
Julian Ingham
Harley D. Scammell
author_facet Tommy Li
Julian Ingham
Harley D. Scammell
author_sort Tommy Li
collection DOAJ
description Artificial lattices have served as a platform to study the physics of unconventional superconductivity. We study semiconductor artificial graphene—a honeycomb superlattice imposed on a semiconductor heterostructure—which hosts the Dirac physics of graphene but with a tunable periodic potential strength and lattice spacing, allowing control of the strength of the electron-electron interactions. We demonstrate a new mechanism for superconductivity due to repulsive interactions which requires a strong lattice potential and a minimum doping away from the Dirac points. The mechanism relies on the Berry phase of the emergent Dirac fermions, which causes oppositely moving electron pairs near the Dirac points to interfere destructively, reducing the Coulomb repulsion and thereby giving rise to an effective attraction. The attractive component of the interaction is enhanced by a novel antiscreening effect which, in turn, increases with doping; as a result, there is a minimum doping beyond which superconducting order generically ensues. The dominant superconducting state exhibits a spatially modulated gap with chiral p-wave symmetry. Microscopic calculations suggest that the possible critical temperatures are large relative to the low carrier densities, for a range of experimentally realistic parameters.
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spelling doaj.art-6e359e9c78c84760880802c40f9d05902024-04-12T17:03:12ZengAmerican Physical SocietyPhysical Review Research2643-15642020-10-012404315510.1103/PhysRevResearch.2.043155Artificial graphene: Unconventional superconductivity in a honeycomb superlatticeTommy LiJulian InghamHarley D. ScammellArtificial lattices have served as a platform to study the physics of unconventional superconductivity. We study semiconductor artificial graphene—a honeycomb superlattice imposed on a semiconductor heterostructure—which hosts the Dirac physics of graphene but with a tunable periodic potential strength and lattice spacing, allowing control of the strength of the electron-electron interactions. We demonstrate a new mechanism for superconductivity due to repulsive interactions which requires a strong lattice potential and a minimum doping away from the Dirac points. The mechanism relies on the Berry phase of the emergent Dirac fermions, which causes oppositely moving electron pairs near the Dirac points to interfere destructively, reducing the Coulomb repulsion and thereby giving rise to an effective attraction. The attractive component of the interaction is enhanced by a novel antiscreening effect which, in turn, increases with doping; as a result, there is a minimum doping beyond which superconducting order generically ensues. The dominant superconducting state exhibits a spatially modulated gap with chiral p-wave symmetry. Microscopic calculations suggest that the possible critical temperatures are large relative to the low carrier densities, for a range of experimentally realistic parameters.http://doi.org/10.1103/PhysRevResearch.2.043155
spellingShingle Tommy Li
Julian Ingham
Harley D. Scammell
Artificial graphene: Unconventional superconductivity in a honeycomb superlattice
Physical Review Research
title Artificial graphene: Unconventional superconductivity in a honeycomb superlattice
title_full Artificial graphene: Unconventional superconductivity in a honeycomb superlattice
title_fullStr Artificial graphene: Unconventional superconductivity in a honeycomb superlattice
title_full_unstemmed Artificial graphene: Unconventional superconductivity in a honeycomb superlattice
title_short Artificial graphene: Unconventional superconductivity in a honeycomb superlattice
title_sort artificial graphene unconventional superconductivity in a honeycomb superlattice
url http://doi.org/10.1103/PhysRevResearch.2.043155
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