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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

The physical pictures of the electron pairing structure and pairing mechanisms in superconductors are reviewed. An initial idea for a new physical picture of the origin and nature of the pairing is proposed. The idea is based on the…

Superconductivity · Physics 2024-02-19 Zuhair M. Hejazi , Iskra B. Hejazi

Interacting electrons in a semiconductor quantum dot at strong magnetic fields exhibit a rich set of states, including correlated quantum fluids and crystallites of various symmetries. We develop in this paper a perturbative scheme based on…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Gun Sang Jeon , Chia-Chen Chang , Jainendra K. Jain

We develop a theory of superconductivity (or superfluidity) based on condensed fermion quartets focusing on the dilute spin-$\frac{1}{2}$ systems at zero temperature. In the spirit of the Bardeen--Cooper--Schrieffer ansatz, a variational…

Superconductivity · Physics 2026-05-29 Qiao-Ru Xu , Congjun Wu

Empirical evidence in heavy fermion, pnictide, and other systems suggests that unconventional superconductivity appears associated to some form of real-space electronic order. For the cuprates, despite several proposals, the emergence of…

Superconductivity · Physics 2015-10-05 M. Capati , S. Caprara , C. Di Castro , M. Grilli , G. Seibold , J. Lorenzana

Possibility of a quartet superfluidity in fermionic systems is studied as a new aspect of atomic gas at ultra low temperatures. The four-fold degeneracy of hyperfine state and moderate coupling is indispensable for the quartet superfluidity…

Superconductivity · Physics 2009-11-11 H. Kamei , K. Miyake

The main features of a generic boson-fermion scenario for electron pairing in a many-body correlated fermionic system are: i) a cross-over from a poor metal to an insulator and finally a superconductor as the temperature decreases, ii) the…

Superconductivity · Physics 2009-11-10 M. Cuoco , C. Noce , J. Ranninger , A. Romano

We describe the approach of the superconducting state as a sequence of cross-over phenomena. As the temperature is decreased, uncorrelated pairing of the electrons leads to the opening of a pseudogap at T_F^*. Upon further lowering the…

Superconductivity · Physics 2009-10-31 P. Devillard , J. Ranninger

Ordered phases of matter, such as solids, ferromagnets, superfluids, or quantum topological order, typically only exist at low temperatures. Despite this conventional wisdom, we present explicit local models in which all such phases persist…

Statistical Mechanics · Physics 2025-04-01 Yiqiu Han , Xiaoyang Huang , Zohar Komargodski , Andrew Lucas , Fedor K. Popov

This article gives a contemporary and to some extent pedagogical review of the current theoretical understanding of the formation of the superconducting state in metallic systems with a variable density of carriers. We make an attempt to…

Superconductivity · Physics 2008-02-03 V. M. Loktev , S. G. Sharapov

A model of a Fermi liquid with the fermion condensate (FC) is applied to the consideration of quasiparticle excitations in high temperature superconductors, in their superconducting and normal states. Within our model the appearance of the…

Strongly Correlated Electrons · Physics 2009-11-07 M. Ya. Amusia , V. R. Shaginyan

Strongly correlated Fermi systems are among the most intriguing, best experimentally studied and fundamental systems in physics. These are, however, in defiance of theoretical understanding. The ideas based on the concepts like Kondo…

Strongly Correlated Electrons · Physics 2010-02-22 V. R. Shaginyan , M. Ya. Amusia , K. G. Popov

The theory for condensation of higher fermionic clusters is developed. Fully selfconsistent nonlinear equations for the quartet order parameter in strongly coupled fermionic systems are established and solved. The breakdown of the…

Quantum Gases · Physics 2011-02-28 Takaaki Sogo , Gerd Röpke , Peter Schuck

The electronic phase diagrams of many highly correlated systems, and in particular the cuprate high temperature superconductors, are complex, with many different phases appearing with similar-sometimes identical-ordering temperatures even…

Superconductivity · Physics 2015-05-28 Eduardo Fradkin , Steven A. Kivelson , John M. Tranquada

The theory of quartet condensation is further developed. The onset of quartetting in homgeneous fermionic matter is studied with the help of an in-medium modified four fermion equation. It is found that at very low density quartetting wins…

Nuclear Theory · Physics 2015-06-18 P. Schuck , Y. Funaki , H. Horiuchi , G. Roepke , A. Tohsaki , T. Yamada

Four-particle correlations in fermion systems at finite temperatures are investigated with special attention to the formation of a condensate. Instead of the instability of the normal state with respect to the onset of pairing described by…

Strongly Correlated Electrons · Physics 2008-11-26 G. Roepke , A. Schnell , P. Schuck , P. Nozieres

I present a microscopic theory I proposed recently to describe high-T_c superconductivity in cuprates. I show that coherent pairing states consisting of extended singlet Cooper pairs and triplet $\pi$ pairs can manifest both the Mott…

Superconductivity · Physics 2007-05-23 Wei-Min Zhang

In this paper I intend to show that macroscopic entanglement is possible at high temperatures. I analyze multipartite entanglement produced by the $\eta$ pairing mechanism which features strongly in the fermionic lattice models of high…

Quantum Physics · Physics 2009-11-10 Vlatko Vedral

The emergence of superconductivity in unconventional superconductors usually accompanies the normal-state phases of pseudogap, strange metal and Fermi liquid. It indicates these phases are strongly related to the superconducting state and…

Superconductivity · Physics 2021-11-25 Kuan-Ming Hung , Tung-Ho Shieh , Kun-Yuan Wu

Low-dimensional organic conductors could establish themselves as model systems for the investigation of the physics in reduced dimensions. In the metallic state of a one-dimensional solid, Fermi-liquid theory breaks down and spin and charge…

Strongly Correlated Electrons · Physics 2007-11-08 Martin Dressel
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