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Anyon Superconductivity from Topological Criticality in a Hofstadter-Hubbard Model

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arxiv 2410.18175 v3 pith:W4RHNMOB submitted 2024-10-23 cond-mat.str-el cond-mat.supr-con

Stefan Divic , Valentin Crépel , Tomohiro Soejima , Xue-Yang Song , Andrew J. Millis , Michael P. Zaletel , Ashvin Vishwanath This is my paper · ORCID
classification cond-mat.str-elcond-mat.supr-con
keywords electronsuperconductivitychiralliquidmodelpairingquantumspin
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We argue that the combination of strong repulsive interactions and high magnetic fields can generate electron pairing and superconductivity. Inspired by the large lattice constants of moir\'e materials, which make large flux per unit cell accessible at laboratory fields, we study the triangular lattice Hofstadter-Hubbard model at one-quarter flux quantum per plaquette, where previous literature has argued that a chiral spin liquid separates a weak-coupling integer quantum Hall phase and a strong-coupling topologically-trivial antiferromagnetic insulator at a density of one electron per site. We argue that topological superconductivity emerges upon doping in the vicinity of the integer quantum Hall to chiral spin liquid transition. We employ exact diagonalization and density matrix renormalization group methods to examine this theoretical scenario and find that electronic pairing indeed occurs on both sides of criticality over a remarkably broad range of interaction strengths. On the chiral spin liquid side, our results provide a concrete model realization of the long-hypothesized mechanism of anyon superconductivity. Our study thus establishes a beyond-BCS mechanism for electron pairing in a well-controlled limit, relying crucially on the interplay between electron correlations and band topology.

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Cited by 10 Pith papers

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    A fuzzy-sphere exact diagonalization study shows the fIQH to bFQH transition is continuous, with emergent conformal symmetry and a single relevant singlet of scaling dimension Delta_S = 1.52(18).

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  4. Fractionalized metals from doped anyons: Application to tMoTe2

    cond-mat.str-el 2026-07 conditional novelty 6.5 of 10

    Lightly doped 2/3 FQAH anyons form U(3)-symmetric Z3 Orthogonal Metals of charge-1/3 fermions that explain large resistivity and pair into ordinary 2e superconductors.

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    Bandwidth tuning can melt a single ν=2/3 Jain fractional Chern insulator into five distinct superconductors, two with non-Abelian order, with higher-charge variants predicted at general Jain fillings.

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    A theory predicts that doping a ν=2/3 fractional quantum anomalous Hall insulator with charge-2/3 anyons can drive a direct transition to a chiral topological superconductor, with a universal resistance peak, while ch...

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