scholarly journals Josephson and Persistent Currents in a Quantum Ring between Topological Superconductors

2021 ◽  
pp. 2100305
Author(s):  
Fabián Medina ◽  
Juan Pablo Ramos‐Andrade ◽  
Luis Rosales ◽  
Pedro Orellana
2011 ◽  
Vol 26 (18) ◽  
pp. 1331-1341 ◽  
Author(s):  
KNUT BAKKE ◽  
C. FURTADO

We study the analogue of the Aharonov–Bohm effect for bound states for a neutral particle with a permanent magnetic dipole moment interacting with an external field. We consider a neutral particle confined to moving between two coaxial cylinders and show the dependence of the energy levels on the Aharonov-Casher quantum flux. Moreover, we show that the same flux dependence of the bound states can be found when the neutral particle is confined to a one-dimensional quantum ring and a quantum dot, and we also calculate the persistent currents in each case.


Author(s):  
I.A. Kokurin

AbstractA new model of a quantum ring defined inside a nanowire is proposed. The one-particle Hamiltonian for electron in [111]-oriented nanowire quantum ring is constructed taking into account both Rashba and Dresselhaus spin-orbit coupling. The energy levels as a function of magnetic field are found using the exact numerical diagonalization. The persistent currents (both charge and spin) are calculated. The specificity of spin-orbit coupling and arising anticrossings in energy spectrum lead to unusual features in persistent current behavior. The variation of magnetic field or carrier concentration by means of gates can lead to pure spin persistent current with the charge current being zero.


Author(s):  
Elena Zhitlukhina ◽  
Mikhail Belogolovskii ◽  
Paul Seidel

2021 ◽  
Author(s):  
Fabían Gonzalo Medina ◽  
Dunkan Martínez ◽  
Alvaro Díaz-Fernández ◽  
Francisco Domínguez-Adame ◽  
Luis Rosales ◽  
...  

Abstract The quest for Majorana zero modes in the laboratory is an active field of research in condensed matter physics. In this regard, there have been many theoretical proposals; however, their experimental detection remains elusive. In this article, we present a realistic setting by considering a quantum ring with Rashba spin-orbit coupling and threaded by a magnetic flux, in contact with a topological superconducting nanowire. We focus on spin-polarized persistent currents to assess the existence of Majorana zero modes. We find that the Rashba spin-orbit coupling allows for tuning the position of the zero modes and has sizable effects on spin-polarized persistent currents. Our results pave the way towards probing the existence of Majorana zero modes.


1995 ◽  
Vol 52 (3) ◽  
pp. 1932-1935 ◽  
Author(s):  
Tapash Chakraborty ◽  
Pekka Pietiläinen

1998 ◽  
Vol 12 (06n07) ◽  
pp. 215-224 ◽  
Author(s):  
A. A. Zvyagin

Persistent current and "Coulomb blockade" like oscillations of electrons in a mesoscopic quantum ring are analyzed within the framework of the exact Bethe ansatz solutions of two component Luttinger liquid (correlated electron systems and magnetic impurities models). Changes of the electron number and of the total magnetic moment governed by an external voltage and magnetic field produce the saw-tooth oscillations of the ground state mesoscopic energy, similar to the Coulomb blockade effect. The interference of these oscillations and the Aharonov–Bohm–Casher (ABC) persistent currents can be observed, e.g. as an initial phase shift of the persistent currents. The generalization for multichannel Luttinger liquid case is performed. The recent result of experiment on interference effects in mesoscopic semiconductor rings is explained.


2002 ◽  
Vol 13 (2-4) ◽  
pp. 297-300 ◽  
Author(s):  
A.O Govorov ◽  
A.V Kalameitsev ◽  
R Warburton ◽  
K Karrai ◽  
S.E Ulloa

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