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The doping dependence of the superfluid density $\rho_{\text{s}}$ exhibits distinct behaviors in the underdoping and overdoping regimes of the cuprate, while the superconducting (SC) transition temperature $T_c$ generally scales with…

Strongly Correlated Electrons · Physics 2025-12-25 Zeyu Han , Zhi-Jian Song , Jia-Xin Zhang , Zheng-Yu Weng

Within the phase fluctuation picture for the pseudogap state of a high-$T_{c}$ superconductor, we incorporate the phase fluctuations generated by the classical XY model with the Bogoliubov-de Gennes formalism utilizing a field-theoretical…

Superconductivity · Physics 2008-09-26 Wonkee Kim , Yan Chen , C. S. Ting

High temperature superconductivity is a property of doped antiferromagnetic insulators. The electronic structure is inhomogeneous on short length and time scales, and, as the temperature decreases, it evolves via two crossovers, before long…

Superconductivity · Physics 2009-10-30 V. J. Emery , S. A. Kivelson

We consider the real part of the conductivity, \sigma_1(\omega), arising from classical phase fluctuations in a model for high-T_c superconductors. We show that the frequency integral of that conductivity, \int_0^\infty \sigma_1 d\omega, is…

Superconductivity · Physics 2009-10-31 S. Barabash , D. Stroud , I. -J. Hwang

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

We investigate the impact of quantum and thermal phase fluctuations on the suppression of superconducting order in two-dimensional systems. Within the two-dimensional quantum XY model in the phase representation, where on-site interaction…

We study effective actions for order parameter fluctuations at low temperature in layered d-wave superconductors such as the cuprates. The order parameter lives on the bonds of a square lattice and has two amplitude and two phase modes…

Superconductivity · Physics 2009-10-31 Arun Paramekanti , Mohit Randeria , T. V. Ramakrishnan , S. S. Mandal

We study the order parameter phase fluctuation effects in cuprate superconductors near T=0, using a quasi-two-dimensional d-wave BCS model. An effective phason theory is obtained which is used to estimate the strength of the fluctuations,…

Superconductivity · Physics 2009-10-31 Hyok-Jon Kwon , Alan T. Dorsey , P. J. Hirschfeld

We analyse fluctuations about $T_c$ in the specific heat of (Y,Ca)Ba$_2$Cu$_3$O$_{7-\delta}$, YBa$_2$Cu$_4$O$_8$ and Bi$_2$Sr$_2$CaCu$_2$O$_{8+\delta}$. The mean-field transition temperature, $T_c^{mf}$, in the absence of fluctuations lies…

Superconductivity · Physics 2009-09-01 J. L. Tallon , J. G. Storey , J. W. Loram

Despite more than two decades of intensive investigations, the true nature of high temperature (high-$T_c$) superconductivity observed in the cuprates remains elusive to the researchers. In particular, in the so-called `underdoped' region,…

Superconductivity · Physics 2015-11-11 Yucel Yildirim , Wei Ku

In this brief report an attempt is made for a 'mise-a-point' of the subject of the phase fluctuations of the superconducting order parameter above Tc in cuprates, particularly as they appear in underdoped compounds. Measurements of torque…

Superconductivity · Physics 2018-05-18 A. Lascialfari , A. Rigamonti , L. Romanó

Due to their proximity to an antiferromagnetic phase and to the mysterious pseudogap, underdoped cuprates have attracted great interest in the high Tc community for many years. A central issue concerns the role of quantum and thermal…

Superconductivity · Physics 2011-09-22 Jie Yong , M. Hinton , A. McCray , M. Randeria , M. Naamneh , A. Kanigel , T. R. Lemberger

Superconducting transitions are driven by thermal fluctuations close to the transition temperature, Tc. These fluctuations are averaged out in global measurements, leaving imprints on susceptibility and resistance measurements. Here, we use…

Superconductivity · Physics 2018-06-29 Shai Wissberg , Aviad Frydman , Beena Kalisky

High precision measurements of the complex sheet conductivity of superconducting Mo77Ge23 thin films have been made from 0.4 K through Tc. A sharp drop in the inverse sheet inductance, 1/L(T), is observed at a temperature, Tc, which lies…

Superconductivity · Physics 2009-10-31 Stefan J. Turneaure , Thomas R. Lemberger , John M. Graybeal

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

We study the effect of the density of states (DOS) fluctuations on the thermoelectric coefficient of superconductor above critical temperature. It is shown that in the isotropic case it is the DOS contribution which gives rise to the…

Condensed Matter · Physics 2007-05-23 D. V. Livanov , A. A. Varlamov , F. Federici

We first argue that the collective behaviour of the Cooper pairs created by thermal fluctuations well above the superconducting transition temperature, Tc, is dominated by the uncertainty principle which, in particular, leads to a…

The mechanism that controls the superconducting (SC) transition temperature $T_{\mathrm{c}}^{0}$ as a function of doping is one of the central questions in cuprate high-temperature superconductors. While it is generally accepted that…

Superconductivity · Physics 2025-12-24 J. Terzic , Bal K. Pokharel , Z. Z. Li , P. Senzier , H. Raffy , S. Ono , Dragana Popović

Using the negative U Hubbard model we analyze normal state properties of a superconductor. In this model there exists a characteristic pairing temperature T_P above a superconducting critical temperature. Below T_P electrons start to form…

Superconductivity · Physics 2009-11-07 Grzegorz Litak

Overdoped high-temperature cuprate superconductors have been widely believed to be described by the physics of d-wave BCS-like superconductivity. However, recent measurements indicate that as the doping is increased, the superfluid density…

Superconductivity · Physics 2019-05-07 Fahad Mahmood , Xi He , Ivan Bozovic , N. P. Armitage