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Related papers: Charge-4e superconductors: a Majorana quantum Mont…

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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

Unlike conventional charge-2e superconductors, a charge-4e superconductor exhibits long-range coherence of electron quartets rather than Cooper pairs. Clear zero-temperature realizations of charge-4e superconductivity remain rare. Here, we…

Strongly Correlated Electrons · Physics 2026-04-17 Zhou-Quan Wan , Huan Jiang , Xuan Zou , Shiwei Zhang , Shao-Kai Jian

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

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

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

Charge-$4e$ superconductors are phases where quartets of electrons condense in the absence of Cooper pairing condensation. They exhibit distinctive signatures including fractional flux quantization and anomalous Josephson effects, and are…

Strongly Correlated Electrons · Physics 2026-02-05 Zhi-Qiang Gao , Yan-Qi Wang , Hui Yang , Congjun Wu

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

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

We apply the static auxiliary field Monte Carlo approach to study phase correlations of the pairing fields in a microscopic model with spin-singlet pairing interaction. We find that the short- and long-range phase correlations are well…

Superconductivity · Physics 2023-08-15 Qiong Qin , Jian-Jun Dong , Yutao Sheng , Dongchen Huang , Yi-feng Yang

The material realization of the charge-4e/6e superconductivity (SC) is a big challenge. Here we propose realization of the charge-4e SC and chiral metal through stacking a homo-bilayer with the largest twist angle, forming the twist-bilayer…

Superconductivity · Physics 2023-12-12 Yu-Bo Liu , Jing Zhou , Congjun Wu , Fan Yang

Superconductivity is an emergent phenomena in the sense that the energy scale associated with Cooper pairing is generically much lower than the typical kinetic energy of electrons. Addressing the mechanism of Cooper pairing amounts to…

Superconductivity · Physics 2017-06-14 Zi-Xiang Li , Fa Wang , Hong Yao , Dung-Hai Lee

Fermionic condensation typically occurs via pairing. In recent decades, however, a fundamental question has emerged: whether alternative forms of order exist, such as condensates of fermion quadruplets. These states--including ``charge-4e"…

Superconductivity · Physics 2026-05-04 Alexandru Golic , Egor Babaev , Johan Carlström

Understanding unconventional superconductivity (SC) driven by strong electronic correlations is a central challenge in condensed matter physics. In this work, we employ sign-problem-free quantum Monte Carlo (QMC) simulations to…

Strongly Correlated Electrons · Physics 2026-01-21 Sibo Guo , Wei-Xuan Chang , Yi-Zhuang You , Zi-Xiang Li

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

Unconventional superconductivity (SC) characterized by multi-fermion orderings has attracted substantial attention. However, previous studies have largely focused on 2D systems or 3D systems with effective 2D symmetries. Here, we…

Superconductivity · Physics 2026-04-15 Chu-Tian Gao , Chen Lu , Yu-Bo Liu , Zhiming Pan , Fan Yang

The Quantum Monte Carlo method for spin 1/2 fermions at finite temperature is formulated for dilute systems with an s-wave interaction. The motivation and the formalism are discussed along with descriptions of the algorithm and various…

Statistical Mechanics · Physics 2009-02-05 Aurel Bulgac , Joaquin E. Drut , Piotr Magierski

Finite-temperature phase transitions in quasi-one-dimensional quarter-filled systems are investigated by the extended Hubbard model with electron-lattice coupling. Using a quantum Monte Carlo method combined with the inter-chain mean-field…

Strongly Correlated Electrons · Physics 2008-11-11 Yuichi Otsuka , Hitoshi Seo , Yukitoshi Motome , Takeo Kato

We apply a wavefunction approach to study the charge 4$e$ superconductor. The wavefunction takes a similar structure to the BCS wavefunction for charge 2$e$ superconductors. The mean-field Hamiltonian and the Green's functions of charge…

Superconductivity · Physics 2025-04-11 Pengfei Li , Kun Jiang , Jiangping Hu

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

Superconducting qubits with intrinsic noise protection offer a promising approach to improve the coherence of quantum information. Crucial to such protected qubits is the encoding of the logical quantum states into wavefunctions with…

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