Magneto-transport in a mesoscopic ring with Rashba and Dresselhaus spin-orbit interactions

Maiti, Santanu K.; Dey, Moumita; Sil, Shreekantha; Chakrabarti, Abhijit; Karmakar, S. N.

doi:10.1209/0295-5075/95/57008

Cited by 54 publications

(51 citation statements)

References 38 publications

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“…But, with the inclusion of SO interaction current increases significantly and becomes quite proportionate to that of a perfect ring. A detailed analysis behind this mechanism has already been reported in our recent work 49 . Finally, in Fig.…”

Section: Numerical Results and Discussionmentioning

confidence: 86%

“…A schematic view of this ring is illustrated in Fig. 1 nian of such a N -site ring in the site representation reads as [48][49][50] ,…”

Section: Theoretical Framework a Model And Hamiltonianmentioning

confidence: 99%

“…The established approach to the determination of persistent charge 6,40,49,[51][52][53][54][55][56] and spin 30,40,50,57 currents in isolated conducting rings is based on the evaluation of eigenvalues and eigenvectors of the system Hamiltonian. For large size rings such an approach becomes highly numerically unreliable, and most importantly -hard to speculate in presence of interaction with external baths.…”

Section: Introductionmentioning

confidence: 99%

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Persistent charge and spin currents in a quantum ring using Green׳s function technique: Interplay between magnetic flux and spin–orbit interactions

Maiti

Dey

Karmakar

2014

Physica E: Low-dimensional Systems and Nanostructures

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We put forward a new approach based on Green's function formalism to evaluate precisely persistent charge and spin currents in an Aharonov-Bohm ring subjected to Rashba and Dresselhaus spin-orbit interactions. Unlike conventional methods our present scheme circumvents direct evaluation of eigenvalues and eigenstates of the system Hamiltonian to determine persistent currents which essentially reduces possible numerical errors, especially for larger rings. The interplay of Aharonov-Bohm flux and spin-orbit interactions in persistent charge and spin currents of quantum rings is analyzed in detail and our results lead to a possibility of estimating the strength of any one of the spin-orbit fields provided the other one is known. All these features are exactly invariant even in presence of impurities, and therefore, can be substantiated experimentally.

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Section: Numerical Results and Discussionmentioning

confidence: 86%

“…A schematic view of this ring is illustrated in Fig. 1 nian of such a N -site ring in the site representation reads as [48][49][50] ,…”

Section: Theoretical Framework a Model And Hamiltonianmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Persistent charge and spin currents in a quantum ring using Green׳s function technique: Interplay between magnetic flux and spin–orbit interactions

Maiti

Dey

Karmakar

2014

Physica E: Low-dimensional Systems and Nanostructures

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“…-is a matrix which is given by [40][41] (3) In, , -periodic boundary condition is imposed by 3N + 1 = 1 and values of atomic sites (3N) on the ring are equal to 100. The Peierls phase factor with describes the influence of the magnetic field in terms of the magnetic flux, , threaded by the ring, and is the flux quantum and is Anderson-like on site disorder energy strength.…”

Section: Model and Formulationsmentioning

confidence: 99%

Untitled

2015

Nanotechnology Research and Practice

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In this paper we investigated the effect of tunneling magnetoresistance in one-dimensional three-terminal mesoscopic ring in the presence of the magnetic flux and the Rashba spin-orbit interaction (RSOI) and the Dresselhaus spin-orbit interaction (DSOI). We calculated the current flow in this structure based on the Landauer-Buttiker formalism and a generalized Green's function technique for parallel and antiparallel spin orientations in ferromagnetic electrodes. Calculations show that the tunneling magnetoresistance increases with the strength of the magnetization. The required conditions for reach the maximum values of the tunneling magnetoresistance are also calculated.Keywords: tunneling magnetoresistance, three-terminal mesoscopic ring, magnetoresistance, Rashba, Dresselhaus. IntroductionThe magnetic properties of nanoscale magnets and manipulation of electron spin degree of freedom have been the focus of intensive research in the past few decades for both fundamental physics and attractive potential applications [1,2]. During the rapid development of nanotechnology, much attention has been paid on the spin injection and the tunneling magnetoresistance (TMR) effect in tunnel junctions made of semiconductor spacers, sandwiched between ferromagnetic leads [3]. The magnetoresistance exhibits a strong dependence on the relative magnetization directions in these layers and on their spin polarizations [4][5][6][7][8]. Its new characteristics, for example, anomalies of the TMR caused by the intra-dot Coulomb repulsion energy, were analyzed in the subsequent theoretical work based on the non-equilibrium Green's function method [9]. Also, numerous investigations relate to the transmissions, conductances, and traversal times [10][11][12]. Spintronics devices based on the TMR effect in magnetic multi-layers, such as magnetic field sensor and magnetic hard disk read heads have been used as commercial products, and have greatly influenced the current electronic industry. Some successful attempts have been already made in this direction, based on the use of ferromagnetic metal or combined magnetic and non-magnetic semiconductor contacts [13]. In such devices based on the spin polarization of the current inject from the ferromagnetic leads which can be effectively tuned by the magnetic flux and the Rashba spin-orbit interaction (RSOI) and the Dresselhaus spin-orbit

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“…An experimental method was proposed to determine the strength of RSOC and Dresselhaus spin-orbit coupling by measuring the charge and spin currents [18][19][20]. There are many theoretical investigations of natural spin polarized transport through nanostructures in the presence of spin-orbit interaction [9,10,[20][21][22][23].…”

Section: Introductionmentioning

confidence: 99%

Possible polaron formation of zigzag graphene nano-ribbon in the presence of Rashba spin–orbit coupling

Modarresi

Moğulkoç

Roknabadi

et al. 2015

Physica E: Low-dimensional Systems and Nanostructures

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Magneto-transport in a mesoscopic ring with Rashba and Dresselhaus spin-orbit interactions

Cited by 54 publications

References 38 publications

Persistent charge and spin currents in a quantum ring using Green׳s function technique: Interplay between magnetic flux and spin–orbit interactions

Persistent charge and spin currents in a quantum ring using Green׳s function technique: Interplay between magnetic flux and spin–orbit interactions

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Possible polaron formation of zigzag graphene nano-ribbon in the presence of Rashba spin–orbit coupling

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