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We consider the condensation energy in superconductors where the pairing is electronic in origin and is mediated by a collective bosonic mode. We use magnetically-mediated superconductivity as an example, and show that for large…

Strongly Correlated Electrons · Physics 2009-11-07 Robert Haslinger , Andrey V. Chubukov

We consider the condensation energy, $E_c$ of strongly coupled, magnetically-mediated superconductors within the context of the spin fermion model. We argue that although experimentally obtained values of $E_c$ are of the same order of…

Condensed Matter · Physics 2007-05-23 Robert Haslinger , Andrey Chubukov

The condensation energy of the homogeneous electron gas is calculated within the density functional theory for superconductors. Purely electronic considerations include the exchange energy exactly and the correlation energy on a level of…

Superconductivity · Physics 2013-04-02 M. Wierzbowska , J. W. Krogh

Eliashberg theory provides a theoretical framework for understanding the phenomenon of superconductivity when pairing between two electrons is mediated by phonons, and retardation effects are fully accounted for. BCS theory is often viewed…

Superconductivity · Physics 2018-08-07 F. Marsiglio

We develop a strong-coupling theory of Bose-Einstein condensate-mediated superconductivity in a hybrid system, which consists of a two-dimensional electron gas with either (i) parabolic spectrum or (ii) relativistic Dirac spectrum in the…

Superconductivity · Physics 2021-08-25 Meng Sun , A. V. Parafilo , V. M. Kovalev , I. G. Savenko

Eliashberg theory is a theory of superconductivity that describes the role of phonons in providing the attractive interaction between two electrons. Phonon dynamics are taken into account, thus giving rise to retardation effects that impact…

Superconductivity · Physics 2020-07-06 F. Marsiglio

We report a measurement of the condensation energy of a two-component Fermi gas with tunable interactions. From the equation of state of the gas, we infer the properties of the normal phase in the zero-temperature limit. By comparing the…

The correlation between the condensation energy and the critical temperature is studied within a charge ordered superlattice bilayer model in which pairing is supported by inter-layer Coulomb energy gain (potential energy driven…

Superconductivity · Physics 2016-08-31 P. Süle

For the traditional low T_c superconductors, the superconducting condensation energy is proportional to the change in energy of the ionic lattice between the normal and superconducting state, providing a clear link between pairing and the…

Superconductivity · Physics 2009-10-31 D. J. Scalapino , Steven R. White

Superconducting condensation energy $U_0^{int}$ has been determined by integrating the electronic entropy in various iron pnictide/chalcogenide superconducting systems. It is found that $U_0^{int}\propto T_c^n$ with $n$ = 3 to 4, which is…

Superconductivity · Physics 2015-06-18 Jie Xing , Sheng Li , Bin Zeng , Gang Mu , Bing Shen , J. Schneeloch , R. D. Zhong , T. S. Liu , G. D. Gu , Hai-Hu Wen

The interaction of the ionic lattice with the superconducting condensate is treated in terms of the electrostatic force in superconductors. It is shown that this force is similar but not identical to the force suggested by the volume…

Superconductivity · Physics 2015-05-13 Pavel Lipavský , Klaus Morawetz , Jan Koláček , Ernst Helmut Brandt , Michael Schreiber

A theory of phonon-mediated superconductivity in strong-coupling amorphous materials is developed based on an effective description of structural disorder and its effect on the vibrational spectrum. The theory accounts for the…

Superconductivity · Physics 2020-06-05 Matteo Baggioli , Chandan Setty , Alessio Zaccone

We reconsider the ordinary impurity effect on the transition temperature $T_{c}$ of superconductors using the Eliashberg formalism. It is shown that the correspondence principle, which relates strong-coupling and weak-coupling theories,…

Superconductivity · Physics 2007-05-23 Yong-Jihn Kim

We extend the theory of Bose-Einstein condensation from Bogoliubov's weak-coupling regime to arbirarily strong couplings.

Quantum Gases · Physics 2011-05-31 Hagen Kleinert

The strong coupling Eliashberg theory plus vertex correction is used to calculate maps of transition temperature (Tc) in parameter-space characterizing superconductivity. Based on these Tc maps, crossover behaviors are found when…

Superconductivity · Physics 2010-03-31 W. Fan

We study the Josephson effect between atomic Bose-Einstein condensates. By drawing on an electrostatic analogy, we derive a semiclassical functional expression for the three-dimensional Josephson coupling energy in terms of the condensate…

Condensed Matter · Physics 2009-10-30 Ivar Zapata , Fernando Sols , Anthony J. Leggett

We analyze the validity of Eliashberg theory of phonon-mediated superconductivity in 2D systems in light of recent extensive Monte-Carlo studies of the Holstein model. Conventional wisdom says that Eliashberg theory is applicable as long as…

Superconductivity · Physics 2021-07-13 Andrey V. Chubukov , Artem Abanov , Ilya Esterlis , Steven A. Kivelson

In the present paper, we analyze the properties of the unbalanced superconducting state on a square lattice with the constant value of the electron-phonon coupling function. We conduct our analysis in the framework of the Eliashberg…

Superconductivity · Physics 2018-10-22 Kamila A. Szewczyk , Radosław Szczȩśniak , Dominik Szczȩśniak

When a measurement is carried out on one of the entangled parties, the second party can extract work owing to the reduction in its entropy. Here we inquire the amount of work/energy corresponding to the symmetrization entanglement of…

Quantum Physics · Physics 2023-02-22 Mehmet Emre Tasgin

In this paper we investigate the thermodynamical properties of ``unbalanced'' superconductors, namely, systems where the electron-boson coupling $\lambda$ is different in the self-energy and in the Cooper channels. This situation is…

Superconductivity · Physics 2009-11-13 E. Cappelluti , G. A. Ummarino
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