Geometry-Driven Suppression of Fermionic Pairing on a Spherical Surface
Abstract
We investigate the ground-state properties of a two-component attractive Fermi gas confined to a spherical surface, demonstrating how curvature and finite-size effects lead to qualitatively different behavior compared to the planar limit. In the strongly attractive regime, the system forms a Bose-Einstein condensate (BEC) of tightly bound dimers, yielding a gap and chemical potential that approach flat-space results with leading-order geometric corrections. However, as the attraction decreases, the system crosses over into a Bardeen-Cooper-Schrieffer (BCS) regime where the Cooper pair size becomes constrained by the sphere radius, producing pronounced deviations from flat-space behavior. We identify strong shell effects at magic particle numbers set by the single-particle spectrum, revealing the geometry-driven suppression of fermionic pairing at weak interactions. Our results highlight a fundamental interplay among geometry, quantum statistics, and interactions, motivating future experiments with shell-trapped ultracold fermions and inspiring geometry-controlled condensed matter devices.
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BibTeX
@misc{frigato2026geometrydriven,
title = {{Geometry-Driven Suppression of Fermionic Pairing on a Spherical Surface}},
author = {Lorenzo Frigato and Andrea Tononi and Luca Salasnich},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2609.18386},
eprint = {2609.18386},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2609.18386},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Geometry-Driven Suppression of Fermionic Pairing on a Spherical Surface
AU - Lorenzo Frigato
AU - Andrea Tononi
AU - Luca Salasnich
PY - 2026
DA - 2026/09/16
PB - arXiv
DO - 10.48550/arxiv.2609.18386
UR - https://arxiv.org/abs/2609.18386
AB - We investigate the ground-state properties of a two-component attractive Fermi gas confined to a spherical surface, demonstrating how curvature and finite-size effects lead to qualitatively different behavior compared to the planar limit. In the strongly attractive regime, the system forms a Bose-Einstein condensate (BEC) of tightly bound dimers, yielding a gap and chemical potential that approach flat-space results with leading-order geometric corrections. However, as the attraction decreases, the system crosses over into a Bardeen-Cooper-Schrieffer (BCS) regime where the Cooper pair size becomes constrained by the sphere radius, producing pronounced deviations from flat-space behavior. We identify strong shell effects at magic particle numbers set by the single-particle spectrum, revealing the geometry-driven suppression of fermionic pairing at weak interactions. Our results highlight a fundamental interplay among geometry, quantum statistics, and interactions, motivating future experiments with shell-trapped ultracold fermions and inspiring geometry-controlled condensed matter devices.
ER -