dorsal/arxiv
View SchemaChiral Two-Body Bound States from Berry Curvature and Chiral Superconductivity
| Authors | Daniil Karuzin, Leonid Levitov |
|---|---|
| Categories | |
| ArXiv ID | 2601.08055vv1 |
| URL | https://arxiv.org/abs/2601.08055 |
| License | http://creativecommons.org/licenses/by/4.0/ |
Abstract
Motivated by the discovery of exotic superconductivity in rhombohedral graphene, we study the two-body problem in electronic bands endowed with Berry curvature and show that it supports chiral, non-$s$-wave bound states with nonzero angular momentum. In the presence of a Fermi sea, these interactions give rise to a chiral pairing problem featuring multiple superconducting phases that break time-reversal symmetry. These phases form a cascade of chiral topological states with different angular momenta, where the order-parameter phase winds by $2\pi m$ around the Fermi surface, with $m = 1,3,5,\ldots$, and the succession of phases is governed by the Berry-curvature flux through the Fermi surface area, $\Phi = b k_F^2/2$. As $\Phi$ increases, the system undergoes a sequence of first-order phase transitions between distinct chiral phases, occurring whenever $\Phi$ crosses integer values. This realizes a quantum-geometry analog of the Little--Parks effect -- oscillations in $T_c$ that provide a clear and experimentally accessible hallmark of chiral superconducting order.
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"abstract": "Motivated by the discovery of exotic superconductivity in rhombohedral graphene, we study the two-body problem in electronic bands endowed with Berry curvature and show that it supports chiral, non-$s$-wave bound states with nonzero angular momentum. In the presence of a Fermi sea, these interactions give rise to a chiral pairing problem featuring multiple superconducting phases that break time-reversal symmetry. These phases form a cascade of chiral topological states with different angular momenta, where the order-parameter phase winds by $2\\pi m$ around the Fermi surface, with $m = 1,3,5,\\ldots$, and the succession of phases is governed by the Berry-curvature flux through the Fermi surface area, $\\Phi = b k_F^2/2$. As $\\Phi$ increases, the system undergoes a sequence of first-order phase transitions between distinct chiral phases, occurring whenever $\\Phi$ crosses integer values. This realizes a quantum-geometry analog of the Little--Parks effect -- oscillations in $T_c$ that provide a clear and experimentally accessible hallmark of chiral superconducting order.",
"arxiv_id": "2601.08055",
"authors": [
"Daniil Karuzin",
"Leonid Levitov"
],
"categories": [
"cond-mat.mes-hall"
],
"license": "http://creativecommons.org/licenses/by/4.0/",
"title": "Chiral Two-Body Bound States from Berry Curvature and Chiral Superconductivity",
"url": "https://arxiv.org/abs/2601.08055",
"version": "v1"
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