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We derive the expressions for the transition temperature $(T_{c})$, and the spatial dependence of the superconducting gap for a multilayer high-$T_{c}$ superconductor composed of groups of tightly spaced planes separated by a larger…

Condensed Matter · Physics 2009-10-28 Krzysztof Byczuk , Jozef Spalek

Recent interest in the study of color superconductivity has focused on the regime of high baryon density where perturbative QCD may be employed. Based on the dominant one-gluon-exchange interaction, both the transition temperature and zero…

High Energy Physics - Phenomenology · Physics 2009-10-31 William E. Brown , James T. Liu , Hai-cang Ren

The crossover from cooperative Cooper pairing to independent bound state (composite bosons) formation and condensation in quasi-2D systems is studied. It is shown that at low carrier density the critical superconducting temperature is equal…

Condensed Matter · Physics 2015-06-25 E. V. Gorbar , V. M. Loktev , S. G. Sharapov

We present research on the superconducting properties of Nb$_{x}$Re$_{1-x}$ ($x$ = 0.13-0.38) obtained by measuring the electrical resistivity $\rho(T)$, magnetic susceptibility $\chi(T)$, specific heat $C_P(T)$, and London penetration…

Superconductivity · Physics 2013-11-01 J. Chen , L. Jiao , J. L. Zhang , Y. Chen , L. Yang , M. Nicklas , F. Steglich , H. Q. Yuan

We present an effective thermal open boundary condition for convective heat transfer problems on domains involving outflow/open boundaries. This boundary condition is energy-stable, and it ensures that the contribution of the open boundary…

Fluid Dynamics · Physics 2019-10-23 X. Liu , Z. Xie , S. Dong

In the framework of BCS model, we have applied the isothermal probability distribution to take into account the statistical fluctuations in calculation of thermodynamical properties of nuclei. The energy and the heat capacity are calculated…

Nuclear Theory · Physics 2013-07-17 Z. Kargar , V. Dehghani

Reasonably good agreement with the superconducting transition temperatures of the cuprate high-Tc superconductors can be obtained on the basis of an approximate phenomenological theory. In this theory, two criteria are used to calculate the…

Superconductivity · Physics 2007-05-23 Mario Rabinowitz , T. McMullenb

In this paper, we study the steady-states of a large class of stationary radiative transfer equations in a $C^1$ convex bounded domain. Namely, we consider the case in which both absorption-emission and scattering coefficients depend on the…

Analysis of PDEs · Mathematics 2024-01-24 Elena Demattè , Jin Woo Jang , Juan J. L. Velázquez

It is proven that there exist some universal relations between the energy gap and the differences of the thermodynamic potential, entropy, specific heat and critical magnetic field for many two- and three-dimensional models of…

Superconductivity · Physics 2015-06-24 R. Gonczarek , M. Krzyzosiak

We consider the Bogolubov-de Gennes equations giving an equivalent formulation of the BCS theory of superconductivity. We are interested in the case when the magnetic field is present. We (a) discuss their general features, (b) isolate key…

Mathematical Physics · Physics 2019-02-12 Ilias , Chenn , Israel Michael Sigal

In a semiclassical view superconductivity is attributed exclusively to the advance of atoms' outer s electrons through the nuclei of neighbor atoms in a solid. The necessary progression of holes in the opposite direction has the electric…

General Physics · Physics 2013-03-12 Manfred Bucher

We have found a new mean field solution in the BCS theory of superconductivity. This unconventional solution indicates the existence of superconducting phase transitions of third order in thin films, or in bulk matter with a layered…

Condensed Matter · Physics 2007-05-23 Christofer Cronstrom , Milan Noga

Departures of thermodynamic properties of three-dimensional superfluid $^3$He from the predictions of BCS theory are analyzed. Attention is focused on deviations of the ratios $\Delta(T=0)/T_c$ and $[C_s(T_c)-C_n(T_c)]/C_n(T_c)$ from their…

Superconductivity · Physics 2009-11-11 M. V. Zverev , V. A. Khodel , J. W. Clark

We describe strongly attractive carriers in cuprates in the framework of a simple quasi-one dimensional Hamiltonian with a local attraction. In contrast with the conventional BCS theory there are two energy scales, a temperature independent…

Superconductivity · Physics 2009-10-31 A. S. Alexandrov , A. F. Andreev

Superconductors like other solids cannot relax instantaneously from excited states to thermodynamic equilibrium. In this paper, relaxation from thermal excitations is investigated, like after absorption of radiation or, under conductor…

Superconductivity · Physics 2021-11-19 Harald Reiss

The superconducting pairing instability---as determined by a divergence of the two-particle susceptibility---is obtained in the mean field (BCS) approximation in the thermodynamic limit. The usual practice is to examine this property for a…

Superconductivity · Physics 2017-04-26 F. Marsiglio , K. S. D. Beach , R. J. Gooding

Superconducting electron systems of solids hosting flat bands are studied, with a view to improved understanding of the fundamental physics giving rise to high-temperature superconductivity. We present a modified form of the set of Gor'kov…

Strongly Correlated Electrons · Physics 2017-02-03 V. A. Khodel , J. W. Clark , M. V. Zverev

In BCS superconductors, the superfluid stiffness is virtually constant at low temperature and only slightly affected by the exponentially low density of thermal quasiparticles. Here, we present an experimental and theoretical study on the…

Pairing transition at finite temperature was investigated by the shell model and BCS calculations. The definitive signature of pairing transition is identified by a "transition temperature" $T_t$ estimated from a "thermal" odd-even mass…

Nuclear Theory · Physics 2009-11-10 K. Kaneko , M. Hasegawa

We present a study of the superconducting energy gap performed with point contact spectroscopy in a single crystal of the superconductor Zr0:97V0:03B2. We determined the size and evolution with temperature of the energy gap, the transition…

Superconductivity · Physics 2015-06-01 Rodolfo E. López-Romero , R. Escudero