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We solve the Schr\"odinger equation with a position-dependent mass (PDM) charged particle interacted via the superposition of the Morse and Coulomb potentials and exposed to external magnetic and Aharonov-Bohm (AB) flux fields. The…

Quantum Physics · Physics 2017-05-10 Mahdi Eshghi , Hussein Mehraban , Sameer M. Ikhdair

The Bardeen-Cooper-Schrieffer (BCS) functional has recently received renewed attention as a description of fermionic gases interacting with local pairwise interactions. We present here a rigorous analysis of the BCS functional for general…

Mathematical Physics · Physics 2009-11-13 Christian Hainzl , Eman Hamza , Robert Seiringer , Jan Philip Solovej

Electrostatic charging changes the critical temperature of superconducting thin layers. To understand the basic mechanism, it is possible to use the Ginzburg-Landau theory with the boundary condition derived by de Gennes from the BCS…

Superconductivity · Physics 2015-05-13 Jan Kolacek , Pavel Lipavsky , Klaus Morawetz , Ernst Helmut Brandt

We investigate the end-to-end entanglement of a general XYZ-spin chain at the non-zero temperatures. The entanglement usually vanishes at a certain critical temperature $T_c$, but external fields can make $T_c$ higher. We obtain a general…

Quantum Physics · Physics 2013-04-11 Tomotaka Kuwahara

We derive upper and lower bounds on the critical temperature $T_c$ and the energy gap $\Xi$ (at zero temperature) for the BCS gap equation, describing spin 1/2 fermions interacting via a local two-body interaction potential $\lambda V(x)$.…

Superconductivity · Physics 2009-11-13 Christian Hainzl , Robert Seiringer

We study the influence of an external magnetic field h on the phase diagram of a system of Fermi particles living on the sites of a Bethe lattice with coordination number z and interacting through on-site U and nearest-neighbor V…

Strongly Correlated Electrons · Physics 2010-06-08 F. P. Mancini

We present a microscopic study of the behavior of the order parameters near boundaries of a two-band superconducting material, described by the standard tight-binding Bardeen-Cooper-Schrieffer model. We find superconducting surface states.…

Superconductivity · Physics 2021-04-21 Andrea Benfenati , Albert Samoilenka , Egor Babaev

The upper and lower critical field, and the critical field ratio of an anisotropic two-band magnetic superconductors in Ginzburg-Landau(GL) scenery is derived analytically. The temperature-dependent on the upper critical field is…

Superconductivity · Physics 2015-05-28 A. Changjan , P. Udomsamuthirun

The temperature dependence of upper critical field B_c2 was determined from the shift of resistive transition \Delta T(B) in nearly optimally doped Nd_{2-x}Ce_xCuO_{4-y} single crystals. Within the experimental accuracy, the weak-field data…

Superconductivity · Physics 2009-11-07 V. F. Gantmakher , G. A. Emelchenko , I. G. Naumenko , G. E. Tsydynzhapov

Using the microscopic formalism of Eilenberger equations, a three-band Ginzburg-Landau theory for the intraband dirty limit and clean interband scattering case is derived. Within the framework of this three-band Ginzburg-Landau theory,…

Superconductivity · Physics 2013-10-25 Y. Yerin , S. -L. Drechsler , G. Fuchs

We show that the scaling procedure, recently proposed for the evaluation of the temperature variation of the normalized upper critical field of type-II superconductors, may easily be modified in order to take into account a possible…

Superconductivity · Physics 2007-05-23 I. l. Landau , H. R. Ott

In the framework of the Ginzburg-Landau equation, the temperature dependence of the upper critical field of small ring-like superconductors is studied. At equilibrium small parts of the phase diagram show paramagnetism for width / radius…

Superconductivity · Physics 2009-11-07 C. Meyers

Based on an exact solution of the Bardeen-Cooper-Schrieffer type Hamiltonian on a spherical surface, we calculate the specific heat for the electron system with pair correlations on a sphere. We find that it is possible to extract from the…

Superconductivity · Physics 2007-05-23 V. N. Gladilin , J. Tempere , I. F. Silvera , J. T. Devreese

The temperature dependence of the anomalous sector of the effective action of fermions coupled to external gauge and pseudo-scalar fields is computed at leading order in an expansion in the number of Lorentz indices in two and four…

High Energy Physics - Theory · Physics 2016-08-25 L. L. Salcedo

We formulate a new Bardeen-Cooper-Schrieffer (BCS)-type theory at finite temperature, by deriving a set of variational equations of the free energy after the particle-number projection. With its broad applicability, this theory can be a…

Quantum Physics · Physics 2009-11-13 H. Nakada , K. Tanabe

Using the Ginzburg-Landau theory in very general terms, we develop a simple scaling procedure which allows to establish the temperature dependence of the upper critical field and the value of the superconducting critical temperature Tc of…

Superconductivity · Physics 2009-11-07 I. L. Landau , H. R. Ott

Conventional theories for determining upper critical fields are inevitably related to the lowest eigenvalues of appropriate equations. In this Letter, a new theory of upper critical fields is designed and justified. Using MgB$_2$ as…

Superconductivity · Physics 2007-05-23 L. Wang , H. S. Lim , C. K. Ong

Using the standard Bardeen-Cooper-Schrieffer (BCS) theory, we revise microscopic derivation of the superconductor-insulator boundary conditions for the Ginzburg-Landau (GL) model. We obtain a negative contribution to free energy in the form…

Superconductivity · Physics 2021-06-11 Albert Samoilenka , Egor Babaev

Temperature effects on the neutron matter equation of state are investigated in the framework of chiral effective field theory. Latest, state-of-the-art chiral two-nucleon forces are applied from third to fifth order in the chiral expansion…

Nuclear Theory · Physics 2020-07-15 F. Sammarruca , R. Machleidt , R. Millerson

We consider a many-body system of fermionic atoms interacting via a local pair potential and subject to an external potential within the framework of BCS theory. We measure the free energy of the whole sample with respect to the free energy…

Mathematical Physics · Physics 2017-08-03 Andreas Deuchert