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The order parameter of High-T$_{c}$ superconductors through a series of experiments has been quite conclusively demonstrated to not be of the normal $s-wave$ type. It is either a pure $d_{x^{2}-y^{2}}$-wave type or a mixture of a…

Superconductivity · Physics 2016-08-31 Colin Benjamin

We studied the effects of nonmagnetic impurities on high-temperature superconductors by solving the Bogoliubov-de Gennes equations on a two-dimensional lattice via exact diagonalization technique in a fully self-consistent way. We found…

Superconductivity · Physics 2009-10-31 M. Bayindir , Z. Gedik

The concept of the order parameter is extremely useful in physics. Here, I discuss extensions of this concept to cases when the order parameter is no longer a constant but fluctuates or oscillates in space and time. This allows one to…

Strongly Correlated Electrons · Physics 2019-12-20 Konstantin B. Efetov

Effects of disorder on electron-doped iron pnictides are investigated systematically based on self-consistent Bogoliubov-de Gennes equations. Multiply impurities with same scattering potential (SP) are randomly distributed in a square…

Superconductivity · Physics 2015-02-26 Huaixiang Huang , Shuchao Zhang , Yi Gao , Wei Ren

We consider a superconductor with surface suppression of the BCS pairing constant $\lambda(x)$. We analytically find the gap in the surface density of states (DOS), behavior of the DOS $\nu(E)$ above the gap, a "vertical" peculiarity of the…

Superconductivity · Physics 2019-12-30 Ya. V. Fominov , A. A. Mazanik , M. V. Razumovskiy

Surface superconductivity is studied within Ginzburg-Landau theory for two classes of models for the order parameter of UPt$_{3}$. The first class assumes two independent one-dimensional order parameters ($AB$ models), while the second…

Condensed Matter · Physics 2009-10-28 Ding Chuan Chen , Anupam Garg

We consider different effects that arise when time-reversal symmetry breaking superconductors are subjected to an external magnetic field, thus rendering the superconductor to be in the mixed state. We focus in particular on two…

Superconductivity · Physics 2009-11-13 Mihail A. Silaev , Takehito Yokoyama , Jacob Linder , Yukio Tanaka , Asle Sudbø

An intrinsic gap depression at the Superconductor-Insulator interface due to the very short value of the coherence length in High-Tc Superconductors [HTSs] is considered, in the framework of a mixed (s+id)-wave pair symmetry for the order…

Superconductivity · Physics 2009-10-30 G. A. Ummarino , R. S. Gonnelli , C. Bravi , V. A. Stepanov

We present an approach for determining susceptibilities and order parameters in multi-band Hubbard model within functional renormalization group method, and apply it to study various instabilities of the FeAs-based high temperature…

Strongly Correlated Electrons · Physics 2013-10-03 Sung-Jin Oh , Hak-Chol Pak , Kuk-Chol Ri

We study the proximity effect in good contacts between normal metals and high Tc (d-wave) superconductors. We present theoretical results for the spatially dependent order parameter and local density of states, including effects of impurity…

Superconductivity · Physics 2009-11-10 Tomas Lofwander

We analyze the local density of states (LDOS) of heterostructures consisting of alternating ferromagnet, $F$, and superconductor, $S$, layers. We consider structures of the $SFS$ and $SFSFSFS$ type, with thin nanometer scale $F$ and $S$…

Superconductivity · Physics 2009-11-10 Klaus Halterman , Oriol T. Valls

We study a d-wave superconductor with dominant $d_{x^2-y^2}$-wave order parameter and subdominant pairing in either the $s$- or the $d_{xy}$-wave channel near a surface. In particular we analyze the influence of surface roughness on the…

Superconductivity · Physics 2007-05-23 T. Lueck

We study inelastic (dynamical) impurity scattering effects in two-band superconductors with the same ($s_{++}$ wave) or different ($s_\pm$ wave) sign order parameters. We focus on the enhancement of the superconducting transition…

Strongly Correlated Electrons · Physics 2015-05-19 Mikito Koga , Masashige Matsumoto , Hiroaki Kusunose

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

We consider a problem of superconductivity coexistence with the spin-density-wave order in disordered multiband metals. It is assumed that random variations of the disorder potential on short length scales render the interactions between…

Superconductivity · Physics 2021-07-28 Maxim Dzero , Alex Levchenko

In Ginzburg-Landau Theory of superconductivity, the density and location of the superconducting electrons are measured by a complex-valued wave function, the order parameter. In this paper, when the intensity of the applied magnetic field…

Analysis of PDEs · Mathematics 2016-10-31 Ayman Kachmar

We derive an order-parameter field theory for a quantum phase transition between a disordered metal and an exotic (non-s-wave) superconductor. Mode coupling effects between the order parameter and other fermionic soft modes lead to an…

Superconductivity · Physics 2009-11-07 Rastko Sknepnek , Thomas Vojta , Rajesh Narayanan

Most iron-based superconductors are characterized by the s+- symmetry of their order parameter, and are expected to go through a transition to the s++ state if enough disorder is introduced. We previously reported the observation of this…

Superconductivity · Physics 2019-06-21 D. Torsello , R. Gerbaldo , L. Gozzelino , M. A. Tanatar , R. Prozorov , P. C. Canfield , G. Ghigo

Nanoscale inhomogeneity seems to be a central feature of the d-wave superconductivity in the cuprates. Such a feature can strongly affect the local density of states (LDOS) and the spectral weight functions. Within the Bogoliubov-de Gennes…

Superconductivity · Physics 2007-05-23 Ming Cheng , W. P. Su

Identifying the symmetry of the superconducting order parameter in the recently-discovered ferro-oxypnictide family of superconductors, RFeAsO$_{1-x}$F$_{y}$, where $R$ is a rare earth, is a high priority. Many of the proposed order…

Superconductivity · Physics 2009-07-28 C. W. Hicks , T. M. Lippman , M. E. Huber , Z. A. Ren , Z. X. Zhao , K. A. Moler