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We study Cooper-pair phase fluctuations in cuprate superconductors for a spin fluctuation pairing interaction. Using an electronic theory we calculate in particular for the underdoped cuprate superconductors the superfluid density $n_s(T)$,…

Superconductivity · Physics 2007-05-23 D. Manske , T. Dahm , K. H. Bennemann

In underdoped cuprates fluctuations of the phase of the superconducting order parameter play a role due to the small superfluid density. We consider the effects of phase fluctuations assuming the exchange of spin fluctuations to be the…

Superconductivity · Physics 2009-11-07 C. Timm , D. Manske , K. H. Bennemann

In superconductors, electrons bound into Cooper pairs conduct a dissipationless current. The strength of the Cooper pairs scales with the value of the critical transition temperature (Tc). In cuprate high-Tc superconductors, however, the…

Strongly Correlated Electrons · Physics 2016-02-09 Shiro Sakai , Marcello Civelli , Masatoshi Imada

By using the gauge-invariant kinetic equation approach [Yang and Wu, Phys. Rev. B {\bf 98}, 094507 (2018); {\bf 100}, 104513 (2019)], we construct the coupled dual dynamics of macroscopic phase coherence and microscopic electronic fluids in…

Superconductivity · Physics 2021-12-28 F. Yang , M. W. Wu

In conventional metal superconductors such as aluminum, the large number of weakly bounded Cooper pairs become phase coherent as soon as they start to form. The cuprate high critical temperature ($T_c$) superconductors, in contrast, belong…

Superconductivity · Physics 2023-06-27 Shusen Ye , Changwei Zou , Hongtao Yan , Yu Ji , Miao Xu , Zehao Dong , Yiwen Chen , Xingjiang Zhou , Yayu Wang

We show that an array of Josephson coupled Cooper paired planes can never have long range phase coherence at any finite temperature due to an infrared divergence of phase fluctuations. The phase correlations decay in a slow enough manner…

Superconductivity · Physics 2007-05-23 Bogdan A. Bernevig , Zaira Nazario , David I. Santiago

We describe here a minimal theory of tight binding electrons moving on the square planar Cu lattice of the hole-doped cuprates and mixed quantum mechanically with pairs of them (Cooper pairs). Superconductivity occurring at the transition…

Strongly Correlated Electrons · Physics 2013-05-29 Sumilan Banerjee , T V Ramakrishnan , C Dasgupta

I present a simple analytical model describing the normal state of a superconductor with a pseudogap in the density of states, such as in underdoped cuprates. In nearly two-dimensional systems, where the superconducting transition…

Superconductivity · Physics 2009-10-30 O. Tchernyshyov

The mutual interaction between Cooper pairs is proposed as a mechanism for the superconducting state. Above $T_c$, pre-existing but fluctuating Cooper pairs give rise to the unconventional {\it pseudogap} (PG) state, well-characterized by…

Superconductivity · Physics 2015-09-30 William Sacks , Alain Mauger , Yves Noat

A simple model of cuprate superconductivity with an electron spectrum prepared by doping is developed. The pair-transfer interaction couples the itinerant band with two components ("hot'' and "cold'') of the defect subsystem. There are…

Superconductivity · Physics 2007-05-23 N. Kristoffel , P. Rubin

Underdoped cuprate superconductors are believed to be strongly correlated with electronic systems with small phase stiffness leading to a large phase fluctuation region is known as the pseudogap state. With increasing doping it is generally…

Superconductivity · Physics 2025-07-03 Hércules H. Santana and , E. V. L. de Mello

We derive a phase diagram for the pseudogap onset temperature $T^*$ (associated with the breakdown of the Fermi liquid state, due to strong pairing correlations) and the superconducting instability, $T_c$, as a function of variable pairing…

Superconductivity · Physics 2007-05-23 Jiri Maly , Boldizsar Janko , K. Levin

The unclear relationship between cuprate superconductivity and the pseudogap state remains an impediment to understanding the high transition temperature (Tc) superconducting mechanism. Here we employ magnetic-field-dependent scanning…

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

We propose a theoretical description of the superconducting state of under- to overdoped cuprates, based on the short coherence length of these materials and the associated strong pairing fluctuations. The calculated $T_c$ and the zero…

Superconductivity · Physics 2007-05-23 Qijin Chen , Ioan Kosztin , Boldizsar Janko , K. Levin

Superconductivity can be understood in terms of a phase transition from an uncorrelated electron gas to a condensate of Cooper pairs in which the relative phases of the constituent electrons are coherent over macroscopic length scales. The…

Superconductivity · Physics 2018-01-03 Alberto Ronzani , Carles Altimiras , Sophie D'Ambrosio , Pauli Virtanen , Francesco Giazotto

The phase diagram associated with the high Tc superconductors is complicated by an array of different ground states. The parent material represents an antiferromagnetic insulator but with doping superconductivity becomes possible with…

Superconductivity · Physics 2018-05-21 Nader Zaki , Hongbo Yang , Jon Rameau , Helmut Claus , David G. Hinks , Peter D. Johnson

The formation of Cooper pairs, a bound state of two electrons of opposite spin and momenta by exchange of a phonon [1], is a defining feature of conventional superconductivity. In the cuprate high temperature superconductors, even though it…

Superconductivity · Physics 2022-04-15 Francisco Restrepo , Utpal Chatterjee , Genda Gu , Hao Xu , Dirk K. Morr , Juan Carlos Campuzano

Since the discovery of the cuprate high-temperature superconductivity in 1986, a universal phase diagram has been constructed experimentally and numerous theoretical models have been proposed. However, there remains no consensus on the…

Superconductivity · Physics 2017-08-11 Jun Chang , Jize Zhao

A microscopic analysis of the superconducting quantum critical point realized via a pair-breaking quantum phase transition is presented. Finite temperature crossovers are derived for the electrical conductivity, which is a key probe of…

Superconductivity · Physics 2007-09-19 N. Shah , A. V. Lopatin
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