A COMPARISON OF HARMONIC CONFINEMENT AND DISORDER IN INDUCING LOCALIZATION EFFECTS IN A SUPERCONDUCTOR

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.

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Dark Solitons in the Unitary Bose Gas

Symmetry ◽

10.3390/sym12060957 ◽

2020 ◽

Vol 12 (6) ◽

pp. 957

Author(s):

Martino Calzavara ◽

Luca Salasnich

Keyword(s):

Wave Scattering ◽

Scattering Length ◽

Bose Gas ◽

Hydrodynamic Equations ◽

S Wave ◽

Universal Equation ◽

One Dimensional ◽

Dark Solitons ◽

Harmonic Confinement ◽

Analytical Formulas

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.

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

Physica C Superconductivity ◽

10.1016/j.physc.2011.04.006 ◽

2011 ◽

Vol 471 (15-16) ◽

pp. 463-470 ◽

Cited By ~ 1

Author(s):

P. Dey ◽

S. Basu

Keyword(s):

S Wave ◽

Correlation Studies ◽

Spin Polarized ◽

Harmonic Confinement

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Coupled channel operators and rearrangement scattering. I. Comparative study of one‐state s‐wave e‐H scattering

The Journal of Chemical Physics ◽

10.1063/1.1681284 ◽

1974 ◽

Vol 60 (5) ◽

pp. 1851-1857 ◽

Cited By ~ 28

Author(s):

Donald J. Kouri ◽

Michael Craigie ◽

Don Secrest

Keyword(s):

Comparative Study ◽

S Wave ◽

Coupled Channel

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Comparative study on confinement effects of graphene and graphene oxide on structure and dynamics of water

RSC Advances ◽

10.1039/c5ra03575a ◽

2015 ◽

Vol 5 (49) ◽

pp. 39330-39341 ◽

Cited By ~ 20

Author(s):

Meymanat Zokaie ◽

Masumeh Foroutan

Keyword(s):

Hydrogen Bond ◽

Graphene Oxide ◽

Comparative Study ◽

Water Molecules ◽

Hydroxyl Groups ◽

Confinement Effects ◽

Structure And Dynamics

A snapshot of the formation of hydrogen bond between water molecules and the hydroxyl groups of the graphene oxide. Red, blue, and green colors correspond to oxygen, hydrogen, and carbon atoms, respectively. Dashed line show the hydrogen bond.

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