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A charge-$4e$ superconductor forms due to the condensation of quartets of electrons. While in previous works the mechanism for the formation of charge-$4e$ superconductivity has been analyzed in terms of the binding of Cooper pairs in…

Strongly Correlated Electrons · Physics 2022-10-05 Nikolay V. Gnezdilov , Yuxuan Wang

Charge-$4e$ superconductivity as a novel phase of matter remains elusive so far. Here we show that charge-$4e$ phase can arise as a vestigial order above the nematic superconducting transition temperature in time-reversal-invariant nematic…

Strongly Correlated Electrons · Physics 2021-11-24 Shao-Kai Jian , Yingyi Huang , Hong Yao

Topological superconductors (TSCs) provide a promising route to fault-tolerant quantum information processing. However, the canonical Majorana platform based on $2e$ TSCs remains computationally constrained. In this work, we find a $4e$ TSC…

Strongly Correlated Electrons · Physics 2026-03-31 Zhengyan Darius Shi , Zhaoyu Han , Srinivas Raghu , Ashvin Vishwanath

Charge-$4e$ superconductivity is an exotic state of matter that may emerge as a vestigial order from a charge-$2e$ superconductor with multicomponent superconducting order parameters. Showing its emergence in a microscopic model from…

Superconductivity · Physics 2025-10-31 Xuan Zou , Zhou-Quan Wan , Hong Yao

A phase of matter in which fermion quartets form a superconducting condensate, rather than the paradigmatic Cooper pairs, is a recurrent subject of experimental and theoretical studies. However, a comprehensive microscopic understanding of…

Strongly Correlated Electrons · Physics 2024-06-12 Martina O. Soldini , Mark H. Fischer , Titus Neupert

We show that unconventional nematic superconductors with multi-component order parameter in lattices with three-fold and six-fold rotational symmetries support a charge-$4e$ vestigial superconducting phase above $T_c$. The charge-$4e$…

Superconductivity · Physics 2021-07-28 Rafael M. Fernandes , Liang Fu

Many features of charge-4e superconductors remain unknown because even the "mean-field Hamiltonian" describing them is an interacting model. Here we introduce an interacting model to describe a charge-4e superconductor (SC) deep in the…

Superconductivity · Physics 2017-06-14 Yi-Fan Jiang , Zi-Xiang Li , Steven A. Kivelson , Hong Yao

We compute the topological phase diagram of 2D tetragonal superconductors for the only possible nodeless pairing channels compatible with that crystal symmetry. Subject to a Zeeman field and spin-orbit coupling, we demonstrate that these…

Superconductivity · Physics 2019-01-24 Santiago Varona , Laura Ortiz , Oscar Viyuela , Miguel Angel Martin-Delgado

A topological superconductor, characterized by either a chiral order parameter or a chiral topological surface state in proximity to bulk superconductivity, is foundational to topological quantum computing. As in other topological phases of…

We investigate a mechanism to produce superconductivity by strong purely repulsive interactions for flat dispersion $\varepsilon \sim k^4$, without using pairing instability in Fermi-liquid. The resulting superconductors break both…

Strongly Correlated Electrons · Physics 2025-01-24 Minho Kim , Abigail Timmel , Long Ju , Xiao-Gang Wen

Topological superconductivity is the quantum condensate of paired electrons with an odd parity of the pairing function. One of the candidates is the triplet pairing superconductor derived from topological insulator Bi2Se3 by chemical…

Superconductivity · Physics 2017-04-11 Guan Du , Yufeng Li , J. Schneeloch , R. D. Zhong , Genda Gu , Huan Yang , Hai-Hu Wen

The condensation of electron quartets, known as charge-4e superconductivity (SC), represents a novel quantum state of matter beyond the standard paradigm of Cooper pairing. However, concrete microscopic models realizing this phase in two…

Strongly Correlated Electrons · Physics 2026-04-17 Shao-Hang Shi , Zhengzhi Wu , Jiangping Hu , Zi-Xiang Li

Many-body instabilities and topological physics are two attractive topics in condensed matter physics. It is intriguing to explore the interplay between these phenomena in a single quantum material. Here, using the prototypical charge…

Superconductivity · Physics 2022-10-18 Zishen Wang , Jingyang You , Chuan Chen , Jinchao Mo , Jingyu He , Lishu Zhang , Jun Zhou , Kian Ping Loh , Yuan Ping Feng

A number of spectacular experimental anomalies\cite{li-2007,fujita-2005} have recently been discovered in certain cuprates, notably {\LBCO} and {\LNSCO}, which exhibit unidirectional spin and charge order (known as ``stripe order''). We…

Strongly Correlated Electrons · Physics 2009-11-04 E. Berg , E. Fradkin , S. A. Kivelson

Topological superconductivity is an exotic quantum phenomenon with coupled nontrivial topological order and superconductivity together. A direct idea for producing topological superconductors is to create superconductivity based on the well…

Superconductivity · Physics 2022-08-23 Hao Yu , Noah F. Q. Yuan , Wei-Jian Li , Liu-Cheng Chen , Zi-Yu Cao , Di Li , Xiaoying Qin , Chang-De Gong , Xiao-Jia Chen

Superconductivity is usually understood as a phase in which charge-$2e$ Cooper pairs are condensed. Charge-$4e$ superconductivity has largely been discussed as a vestigial order at finite temperature emerging from charge-$2e$ states.…

Strongly Correlated Electrons · Physics 2026-02-19 Zhi-Qiang Gao , Yan-Qi Wang , Ya-Hui Zhang , Hui Yang

Topological phases of matter are usually realized in deconfined phases of gauge theories. In this context, confined phases with strongly fluctuating gauge fields seem to be irrelevant to the physics of topological phases. For example, the…

Strongly Correlated Electrons · Physics 2016-09-06 Peng Ye , Taylor L. Hughes , Joseph Maciejko , Eduardo Fradkin

Topological phases associated with non-Abelian charges can exhibit a distinguished bulk-edge correspondence compared with Abelian phases, although elucidating this relationship remains challenging in traditional solid-state systems. In this…

Quantum Gases · Physics 2024-09-02 Qi-Dong Wang , Yan-Qing Zhu , Shi-Liang Zhu , Zhen Zheng

We develop a framework to analyze one-dimensional topological superconductors with charge conservation. In particular, we consider models with $N$ flavors of fermions and $(\mathbb{Z}_2)^N$ symmetry, associated with the conservation of the…

Mesoscale and Nanoscale Physics · Physics 2018-12-12 Anna Keselman , Erez Berg , Patrick Azaria

The emergent phenomena such as superconductivity and topological phase transitions can be observed in strict two-dimensional crystalline matters. Artificial interfaces and one atomic thickness layers are typical 2D materials of this kind.…

Superconductivity · Physics 2019-06-12 J. G. Guo , X. Chen , X. Y. Jia , Q. H. Zhang , N. Liu , H. C. Lei , S. Y. Li , L. Gu , S. F. Jin , X. L. Chen
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