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By solution of the Bethe-Goldstone equation for the Cooper pairing problem, an approximate analytic relation is derived between coherence length xi and the binding energy of the Cooper pair. This relation is then qualitatively confirmed by…

Superconductivity · Physics 2007-05-23 G. G. N. Angilella , F. E. Leys , N. H. March , R. Pucci

In strongly correlated electron systems, superconductivity and charge density waves often coexist in close proximity, suggesting a deeper relationship between these competing phases. Recent research indicates that these orders can…

Superconductivity · Physics 2026-01-08 Feng-Feng Song , Aditya Chugh , Hanggai Nuomin , Naoki Kawashima , Alexander Wietek

It has been suggested that the ``pseudogap'' regime in cuprate superconductors, extending up to hudreds of degrees into the normal phase, reflects an incoherent d-wave pairing, with local superconducting order coherent over a finite length…

Superconductivity · Physics 2007-05-23 Paul E. Lammert , Daniel S. Rokhsar

We study spatial coherence properties of a system composed of periodic silver nanoparticle arrays covered with a fluorescent organic molecule (DiD) film. The evolution of spatial coherence of this composite structure from the weak to the…

We analyze the pairing instabilities for fermions on hexagonal lattices (both honeycomb and triangular ones) in a wide range of fermionic densities. We argue that for a generic doping in this range, superconductivity at weak coupling is of…

Superconductivity · Physics 2014-04-29 Rahul Nandkishore , Ronny Thomale , Andrey V. Chubukov

Superconductivity and charge density waves (CDW) are competitive, yet coexisting orders in cuprate superconductors. To understand their microscopic interdependence, a probe capable of discerning their interaction on its natural length and…

Typical BCS superconductors are microscopically homogeneous in real space governed by the coherent Cooper pairs with high phase stiffness of superfluid density, which is characterized by a coherence length. However, a periodic oscillation…

Superconductivity · Physics 2024-06-13 Yao Zhang , Lianzhi Yang , Chaofei Liu , Wenhao Zhang , Ying-Shuang Fu

Pair density waves (PDW) are novel forms of superconducting states that exhibit periodically modulated pairing. A remaining challenge is to elucidate how intrinsic PDW order can emerge robustly in strongly correlated electrons. Here we…

Superconductivity · Physics 2025-12-09 Hao-Xin Wang , Yi-Jian Hu , Wen Huang , Hong Yao

We study thermal equilibrium of classical pointlike counterions confined between symmetrically charged walls at distance $d$. At very large couplings when the counterion system is in its crystal phase, a harmonic expansion of particle…

Soft Condensed Matter · Physics 2019-01-21 L. Samaj , M. Trulsson , E. Trizac

We investigate the symmetry of the superconducting order parameter in the proximity of a phase-separation or of an incommensurate charge-density-wave instability. The attractive effective interaction at small or intermediate transferred…

Condensed Matter · Physics 2009-10-28 A. Perali , C. Castellani , C. Di Castro , M. Grilli

The size of the Cooper pair $\xi_{\rm pair}$ is one of the basic characteristics of a superconductor, but it is not possible to measure it directly. It might be argued that $\xi_{\rm pair}$ can be determined from the value $\xi_{\rm slope}$…

Superconductivity · Physics 2023-10-24 František Herman , Richard Hlubina

In most of charge density wave (CDW) systems of different material classes, ranging from traditional correlated systems in low-dimension to recent topological systems with Kagome lattice, superconductivity emerges when the system is driven…

For decades, superconductivity in high-Tc cuprates has been viewed as a competitor that suppresses charge-density-wave (CDW) order by reducing its amplitude and spatial extent. Here, we show that this picture is incomplete, as…

Superconductivity · Physics 2026-05-13 H. Lee , C. -T. Kuo , M. Fujita , C. -C. Kao , J. -S. Lee

Motivated by recent proposals of correlation induced insensitivity of d-wave superconductors to impurities, we develop a simple pairing theory for these systems for up to a moderate strength of disorder. Our description implements the key…

Superconductivity · Physics 2017-11-01 Debmalya Chakraborty , Nitin Kaushal , Amit Ghosal

We study small oscillations of the order parameter in weakly and strongly paired superconductors driven slightly out of equilibrium, in the collisionless approximation. While it was known for quite some time that the amplitude of the…

Quantum Gases · Physics 2009-08-22 V. Gurarie

A combination of strong Cooper pairing and weak superconducting fluctuations is crucial to achieve and stabilize high-Tc superconductivity. We demonstrate that a coexistence of a shallow carrier band with strong pairing and a deep band with…

Superconductivity · Physics 2019-08-21 L. Salasnich , A. A. Shanenko , A. Vagov , J. Albino Aguiar , A. Perali

Relationship between the superconducting gap and the pseudogap has been the subject of controversies. In order to clarify this issue, we have studied the superconducting gap and pseudogap of the high-Tc superconductor La2-xSrxCuO4 (x=0.10,…

Strongly Correlated Electrons · Physics 2012-08-15 T. Yoshida , W. Malaeb , S. Ideta , A. Fujimori , D. H. Lu , R. G. Moor , Z. -X. Shen , M. Okawa , T. Kiss , K. Ishizaka , S. Shin , Seiki Komiya , Yoichi Ando , H. Eisaki , S. Uchida

The two-flavor color superconductivity is studied over a wide range of baryon density with a single model. We pay a special attention to the spatial-momentum dependence of the gap and to the spatial-structure of Cooper pairs. At extremely…

High Energy Physics - Phenomenology · Physics 2009-11-07 Hiroaki Abuki , Tetsuo Hatsuda , Kazunori Itakura

A robust theory of the mechanism of pair density wave (PDW) superconductivity (i.e. where Cooper pairs have nonzero center of mass momentum) remains elusive. Here we explore the triangular lattice $t$-$J$-$V$ model, a low-energy effective…

Strongly Correlated Electrons · Physics 2025-10-28 Jiucai Wang , Wen Sun , Hao-Xin Wang , Zhaoyu Han , Steven A. Kivelson , Hong Yao

The present paper is an extension of 'cond-mat/0312673'. The construction of a hybrid discrete-continuous model of layered superconductors is presented. The model bases on the classic Lawrence-Doniach scenario with admitting, however,…

Superconductivity · Physics 2007-05-23 M. Sztyren