scholarly journals Zero modes of the generalized fermion-vortex system in a magnetic field

2014 ◽  
Vol 89 (24) ◽  
Author(s):  
Chi-Ken Lu ◽  
Babak Seradjeh
Keyword(s):  
Magnetic Field ◽  
Vortex System ◽  
Zero Modes

scholarly journals On annihilation of the relativistic electron vortex pair in collisionless plasmas

2018 ◽  
Vol 84 (6) ◽  
Author(s):  
K. V. Lezhnin ◽  
F. F. Kamenets ◽  
T. Zh. Esirkepov ◽  
S. V. Bulanov
Keyword(s):  
Magnetic Field ◽  
Collisionless Plasma ◽  
Vortex Formation ◽  
Vortex Pair ◽  
Skin Depth ◽  
Secondary Vortex ◽  
Vortex System ◽  
Collisionless Plasmas ◽  
Secondary Vortices ◽  
The Magnetic Field

In contrast to hydrodynamic vortices, vortices in a plasma contain an electric current circulating around the centre of the vortex, which generates a magnetic field localized inside. Using computer simulations, we demonstrate that the magnetic field associated with the vortex gives rise to a mechanism of dissipation of the vortex pair in a collisionless plasma, leading to fast annihilation of the magnetic field with its energy transforming into the energy of fast electrons, secondary vortices and plasma waves. Two major contributors to the energy damping of a double vortex system, namely, magnetic field annihilation and secondary vortex formation, are regulated by the size of the vortex with respect to the electron skin depth, which scales with the electron$\unicode[STIX]{x1D6FE}$factor,$\unicode[STIX]{x1D6FE}_{e}$, as$R/d_{e}\propto \unicode[STIX]{x1D6FE}_{e}^{1/2}$. Magnetic field annihilation appears to be dominant in mildly relativistic vortices, while for the ultrarelativistic case, secondary vortex formation is the main channel for damping of the initial double vortex system.

scholarly journals Zero modes on cosmic strings in an external magnetic field

2006 ◽  
Vol 74 (2) ◽  
Author(s):  
Francesc Ferrer ◽  
Harsh Mathur ◽  
Tanmay Vachaspati ◽  
Glenn Starkman
Keyword(s):  
Magnetic Field ◽  
External Magnetic Field ◽  
Cosmic Strings ◽  
Zero Modes

The Quantuam Melting Transitions with the Magnetic Field in Weakly Disordered Josephson Junction Arrays

2013 ◽  
Vol 380-384 ◽  
pp. 4845-4848
Author(s):  
Zhi Gang Zhao ◽  
Cun Li Dai ◽  
Lun Wu Zeng
Keyword(s):  
Magnetic Field ◽  
Josephson Junction ◽  
Vortex System ◽  
Josephson Junction Arrays ◽  
Melting Transitions ◽  
Dynamic Melting ◽  
Junction Arrays ◽  
The Magnetic Field ◽  
A Current ◽  
Moving Vortex

Using the resistively shunted junction model, we study the magnetic field induced dynamic melting transitions of a current-driven vortex system in two-dimensional weakly disordered Josephson junction arrays at zero temperature. From the unified model simulations, we find that the intrinsic quantum vortex liquid (QVL) phenomenon, which consistent with the recent experimental reports in disordered and superconducting MoGe films. The enhancement of critical current in the QVL phase arises from intrinsic quantum fluctuations in the moving vortex flow.

scholarly journals Zero modes, energy gap, and edge states of anisotropic honeycomb lattice in a magnetic field

2009 ◽  
Vol 80 (12) ◽  
Author(s):  
Kenta Esaki ◽  
Masatoshi Sato ◽  
Mahito Kohmoto ◽  
Bertrand I. Halperin
Keyword(s):  
Magnetic Field ◽  
Energy Gap ◽  
Honeycomb Lattice ◽  
Edge States ◽  
Zero Modes

scholarly journals Infiniteness of zero modes for the Pauli operator with singular magnetic field

2006 ◽  
Vol 233 (1) ◽  
pp. 135-172 ◽  
Author(s):  
Grigori Rozenblum ◽  
Nikolai Shirokov
Keyword(s):  
Magnetic Field ◽  
Pauli Operator ◽  
Zero Modes

scholarly journals Integrating micromagnets and hybrid nanowires for topological quantum computing

2021 ◽  
Vol 11 (5) ◽  
Author(s):  
Malcolm Jardine ◽  
John Stenger ◽  
Yifan Jiang ◽  
Eline J. de Jong ◽  
Wenbo Wang ◽  
...  
Keyword(s):  
Magnetic Field ◽  
Quantum Computing ◽  
External Magnetic Field ◽  
Numerical Simulations ◽  
Hybrid Systems ◽  
Scaling Up ◽  
Magnet Design ◽  
Zero Modes ◽  
Magnetic Imaging ◽  
Topological Quantum

Majorana zero modes are expected to arise in semiconductor-superconductor hybrid systems, with potential topological quantum computing applications. One limitation of this approach is the need for a relatively high external magnetic field that should also change direction at the nanoscale. This proposal considers devices that incorporate micromagnets to address this challenge. We perform numerical simulations of stray magnetic fields from different micromagnet configurations, which are then used to solve for Majorana wavefunctions. Several devices are proposed, starting with the basic four-magnet design to align magnetic field with the nanowire and scaling up to nanowire T-junctions. The feasibility of the approach is assessed by performing magnetic imaging of prototype patterns.

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