Effect of harmonic confinement on correlation studies of a spin-polarized s-wave superconductor

2011 ◽  
Vol 471 (15-16) ◽  
pp. 463-470 ◽  
Author(s):  
P. Dey ◽  
S. Basu
Symmetry ◽  
2020 ◽  
Vol 12 (6) ◽  
pp. 957
Author(s):  
Martino Calzavara ◽  
Luca Salasnich

We study the dilute and ultracold unitary Bose gas, characterized by a universal equation of state due to the diverging s-wave scattering length, under a transverse harmonic confinement. From the hydrodynamic equations of superfluids we derive an effective one-dimensional nonpolynomial Schrödinger equation (1D NPSE) for the axial wavefunction which, however, also takes into account the transverse wavefunction. By solving the 1D NPSE we obtain meaningful analytical formulas for the dark (gray and black) solitons of the bosonic system.


2012 ◽  
Vol 11 ◽  
pp. 127-132
Author(s):  
POULUMI DEY ◽  
AYAN KHAN ◽  
SAURABH BASU ◽  
B. TANATAR

We present a comparative study of the localization effects induced by harmonic trapping and random onsite disorder in a 2D s-wave superconductor. Performing a numeric computation of the Bogoliubov-de Gennes equations in the presence of parabolic trap and random disorder, we obtain the eigensolutions as a function of trap depth and disorder strength. While the wavefunctions demonstrate localization tendencies for moderate disorder strengths, with finally yielding an insulating behavior at large disorder, the harmonic confinement effects are seen to be vastly more drastic in inducing localization effects.


2002 ◽  
Vol 16 (16) ◽  
pp. 2161-2184 ◽  
Author(s):  
P. VIGNOLO ◽  
A. MINGUZZI ◽  
M. P. TOSI

Developments in the realization and study of ultracold atomic gases inside elongated magnetic traps and atom waveguides have stimulated calculations of equilibrium properties and excitation spectra for mesoscopic clouds of hard-core bosons and of spin-polarized fermions moving under an external harmonic potential in one dimension. A rigorous correspondence exists between the wave functions of these two types of system, allowing a number of exact results to be obtained. The main theoretical techniques and results are reviewed in this article, with emphasis on their relevance in regard to tests of the Thomas–Fermi approximation for confined Fermi fluids and to the foundations of density functional theory for inhomogeneous quantum systems.


2019 ◽  
Vol 59 (1) ◽  
Author(s):  
Dominik Kreil ◽  
Michaela Haslhofer ◽  
Helga M. Böhm

The growing precision of optical and scattering experiments necessitates a better understanding of the influence of damping onto the collective mode of sheet electrons. As spin-polarized systems are of particular interest for spintronic applications, we here report spin-sensitive linear response functions of graphene, which give access to chargeand spin-density related excitations. We further calculate the reflectivity of graphene on an SiO2 surface, a setup used in s-wave scanning near-field microscopy. Increasing the partial spin-polarization of the graphene charge carriers leads to a significant broadening and shift of the plasmon mode, due to single-particle interband transitions of the minority spin carriers. We also predict an antiresonance in the longitudinal magnetic response function, similar to that of semiconductor heterostructures.


2014 ◽  
Vol 215 ◽  
pp. 100-104
Author(s):  
Victoria V. Kononenko ◽  
V.Yu. Tarenkov ◽  
A.I. Dyachenko ◽  
V.N. Varyukhin

We investigated transport characteristics of composite that consist of the superconductor MgB2 and ferromagnetic half-metallic nanoparticles La0.7Ca0.3MnO3 (LCMO). The experiments were carried out in a wide temperature range with different volume content of the magnetic impurity. It was found that over 25% of the impurity manganite breaches percolation paths of the diboride magnesium. This leads to a considerable broadening of the MgB2 superconducting transition and the formation of the network of contacts through the ferromagnetic inclusions. This result shows the possibility of the spin - activated surface realization on the superconductor - manganite boundary. It's allowing the free transition of Cooper pairs with s wave symmetry of the order parameter in a ferromagnet with 100% spin-polarized carriers.


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