Hall viscosity and conductivity of two-dimensional chiral  superconductors

We compute the Hall viscosity and conductivity of non-relativistic two-dimensional chiral superconductors, where fermions pair due to a short-range attractive potential, e.g. \boldsymbol{p+\mathrm{i}p}𝐩+i𝐩 pairing, and interact via a long-range repulsive Coulomb force. For a logarithmic Coulomb potential, the Hall viscosity tensor contains a contribution that is singular at low momentum, which encodes corrections to pressure induced by an external shear strain. Due to this contribution, the Hall viscosity cannot be extracted from the Hall conductivity in spite of Galilean symmetry. For mixed-dimensional chiral superconductors, where the Coulomb potential decays as inverse distance, we find an intermediate behavior between intrinsic two-dimensional superconductors and superfluids. These results are obtained by means of both effective and microscopic field theory.

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Quantum Tunneling

10.1093/oso/9780198808275.003.0014 ◽

2017 ◽

Author(s):

Frank S. Levin

Keyword(s):

Quantum Tunneling ◽

Alpha Particles ◽

Attractive Potential ◽

Scanning Tunneling ◽

Finite Width ◽

Potential Well ◽

Surface Molecules ◽

Repulsive Coulomb ◽

The Subject ◽

The One

Quantum tunneling, wherein a quanject has a non-zero probability of tunneling into and then exiting a barrier of finite width and height, is the subject of Chapter 13. The description for the one-dimensional case is extended to the barrier being inverted, which forms an attractive potential well. The first application of this analysis is to the emission of alpha particles from the decay of radioactive nuclei, where the alpha-nucleus attraction is modeled by a potential well and the barrier is the repulsive Coulomb potential. Excellent results are obtained. Ditto for the similar analysis of proton burning in stars and yet a different analysis that explains tunneling through a Josephson junction, the connector between two superconductors. The final application is to the scanning tunneling microscope, a device that allows the microscopic surfaces of solids to be mapped via electrons from the surface molecules tunneling into the tip of the STM probe.

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On the two-dimensional Schrödinger operator with an attractive potential of the Bessel-Macdonald type

Annals of Physics ◽

10.1016/j.aop.2020.168385 ◽

2020 ◽

pp. 168385

Author(s):

Wellisson B. De Lima ◽

Oswaldo M. Del Cima ◽

Daniel H.T. Franco ◽

Bruno C. Neves

Keyword(s):

Schrödinger Operator ◽

Attractive Potential ◽

Two Dimensional ◽

Schrodinger Operator

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Asymptotic expansion of low-energy excitations for weakly interacting bosons

Forum of Mathematics Sigma ◽

10.1017/fms.2021.22 ◽

2021 ◽

Vol 9 ◽

Author(s):

Lea Boßmann ◽

Sören Petrat ◽

Robert Seiringer

Keyword(s):

Asymptotic Expansion ◽

Coulomb Potential ◽

Mean Field ◽

Low Energy ◽

Energy Eigenstates ◽

Bogoliubov Theory ◽

Weakly Interacting ◽

Repulsive Coulomb ◽

The Mean

Abstract We consider a system of N bosons in the mean-field scaling regime for a class of interactions including the repulsive Coulomb potential. We derive an asymptotic expansion of the low-energy eigenstates and the corresponding energies, which provides corrections to Bogoliubov theory to any order in $1/N$ .

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Antiferromagnetic Short Range Order in a Two-Dimensional Manganite Exhibiting Giant Magnetoresistance

Physical Review Letters ◽

10.1103/physrevlett.78.3197 ◽

1997 ◽

Vol 78 (16) ◽

pp. 3197-3200 ◽

Cited By ~ 208

Author(s):

T. G. Perring ◽

G. Aeppli ◽

Y. Moritomo ◽

Y. Tokura

Keyword(s):

Short Range ◽

Giant Magnetoresistance ◽

Short Range Order ◽

Range Order ◽

Two Dimensional

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Short-Range Interaction Impact on Two-Dimensional Dipolar Scattering

EPJ Web of Conferences ◽

10.1051/epjconf/201817306008 ◽

2018 ◽

Vol 173 ◽

pp. 06008 ◽

Cited By ~ 2

Author(s):

Eugene A. Koval ◽

Oksana A. Koval

Keyword(s):

Cross Section ◽

Short Range ◽

Strong Dependence ◽

Dipolar Interaction ◽

Two Dimensional ◽

Short Range Interaction ◽

Range Interaction ◽

Interaction Radius ◽

Ultracold Polar Molecules ◽

Spatial Dimensions

We report numerical investigation of the short range interaction influence on the two-dimensional quantum scattering of two dipoles. The model simulates two ultracold polar molecules collisions in two spatial dimensions. The used algorithm allows us to quantitatively analyse the scattering of two polarized dipoles with account for strongly anisotropic nature of dipolar interaction. The strong dependence of the scattering total cross section on the short range interaction radius was discovered for threshold collision energies. We also discuss differences of calculated scattering cross section dependencies for different polarisation axis tilt angles.

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